Mock Cat 4
Mock Cat 4
VARC
LRDI
QA
Sec 1
Directions for questions (1 to 6): The passage below is accompanied by a set of six questions. Choose the
best answer to each question.
For patient after patient seeking to cure chronic back pain, the experience is years of frustration. Whether
they strive to treat their aching muscles, bones and ligaments through physical therapy, massage or
rounds of surgery, relief is often elusive – if the pain has not been made even worse. Now a new working
hypothesis explains why: persistent back pain with no obvious mechanical source does not always result
from tissue damage. Instead, that pain is generated by the central nervous system (CNS) and lives within
the brain itself.
I caught my rst whiff of this news about eight years ago, when I was starting the research for a book
about the back-pain industry. Plus, I’d been dealing with a cranky lower back for a couple of decades, and
things were only getting worse. Over the years, I had tried most of what is called ‘conservative treatment’
such as physical therapy and injections. To date, it had been a deeply unsatisfying journey.
Like most people, I was convinced that the problem was structural: something had gone wrong with my
skeleton, and a surgeon could make it right. When a neuroscientist I was interviewing riffed on the classic
lyric from My Fair Lady, intoning: ‘The reign of pain is mostly in the brain’. I was not amused. The pain was
real, I assured him, pointing to the precise location, which was a full yard south of my cranium.
Like practically everyone I knew with back pain, I wanted to have a spinal MRI. When the radiologist’s note
identi ed ‘degenerative disc disease’, a couple of herniated discs, and several bone spurs, I got the idea
that my spine was on the verge of disintegrating, and needed the immediate attention of a spine surgeon,
whom I hoped could shore up what was left of it.
Months would pass before I understood that multiple studies, dating back to the early 1990s, evaluating
the usefulness of spinal imaging, had shown that people who did not have even a hint of lower-back pain
exhibited the same nasty artifacts as those who were incapacitated. Imaging could help rule out certain
conditions, including spinal tumors, infection, fractures and a condition called cauda equina syndrome, in
which case the patient loses control of the bowel or bladder, but those diagnoses were very rare. Yet tens
of thousands of spinal MRIs were ordered every year in the United States, the United Kingdom and
Australia.
Very often, the next stop was surgery. For certain conditions, such as a recently herniated disc that is
pressing on a spinal nerve root, resulting in leg pain or numbness coupled with progressive weakness, or
foot drop, a nerve decompression can relieve the pain. The problem is that all surgeries carry risks, and
substantial time and effort is required for rehabilitation. After a year, studies show, the outcomes of
patients who opt for surgery and those who don’t are approximately the same. More invasive surgeries
carry greater risks.
In the US, about 80,000 spine procedures fail each year, and one in ve patients returns for another
operation. Typically, second, third and fourth attempts have an even lower chance of success, and patients
continue to require painkillers over the long term. Even the procedures that surgeons deem successful,
because the bones fuse and look perfect on a scan, are often unhelpful to patients. In one study, two years
after spinal fusion, patients’ pain had barely been reduced by half, and most patients continued to use
painkillers. Given such unimpressive outcomes, second spine surgery costs a fortune, but other
approaches, including epidural steroid injections, physical therapy and chiropractic treatment, are also
expensive.
Including direct medical expenses and indirect expenses such as lost earnings, spine care costs the US
about $100 billion a year. In the UK, that tab is about £10.6 billion (c$13.6 billion). In Australia, it’s A$1.2
billion (c$950 million). Many of these costs derive from the loss of productivity, as people take time off
from work. Others result from the devastation wrought by addiction to prescription opioids. In Australia,
between 1992 and 2012, prescription opioid dispensing increased 15-fold, and the cost to the Australian
government increased more than 32-fold.
Q.1
According to the passage, why did the author study about back pain?
Directions for questions (1 to 6): The passage below is accompanied by a set of six questions. Choose the
best answer to each question.
For patient after patient seeking to cure chronic back pain, the experience is years of frustration. Whether
they strive to treat their aching muscles, bones and ligaments through physical therapy, massage or
rounds of surgery, relief is often elusive – if the pain has not been made even worse. Now a new working
hypothesis explains why: persistent back pain with no obvious mechanical source does not always result
from tissue damage. Instead, that pain is generated by the central nervous system (CNS) and lives within
the brain itself.
I caught my rst whiff of this news about eight years ago, when I was starting the research for a book
about the back-pain industry. Plus, I’d been dealing with a cranky lower back for a couple of decades, and
things were only getting worse. Over the years, I had tried most of what is called ‘conservative treatment’
such as physical therapy and injections. To date, it had been a deeply unsatisfying journey.
Like most people, I was convinced that the problem was structural: something had gone wrong with my
skeleton, and a surgeon could make it right. When a neuroscientist I was interviewing riffed on the classic
lyric from My Fair Lady, intoning: ‘The reign of pain is mostly in the brain’. I was not amused. The pain was
real, I assured him, pointing to the precise location, which was a full yard south of my cranium.
Like practically everyone I knew with back pain, I wanted to have a spinal MRI. When the radiologist’s note
identi ed ‘degenerative disc disease’, a couple of herniated discs, and several bone spurs, I got the idea
that my spine was on the verge of disintegrating, and needed the immediate attention of a spine surgeon,
whom I hoped could shore up what was left of it.
Months would pass before I understood that multiple studies, dating back to the early 1990s, evaluating
the usefulness of spinal imaging, had shown that people who did not have even a hint of lower-back pain
exhibited the same nasty artifacts as those who were incapacitated. Imaging could help rule out certain
conditions, including spinal tumors, infection, fractures and a condition called cauda equina syndrome, in
which case the patient loses control of the bowel or bladder, but those diagnoses were very rare. Yet tens
of thousands of spinal MRIs were ordered every year in the United States, the United Kingdom and
Australia.
Very often, the next stop was surgery. For certain conditions, such as a recently herniated disc that is
pressing on a spinal nerve root, resulting in leg pain or numbness coupled with progressive weakness, or
foot drop, a nerve decompression can relieve the pain. The problem is that all surgeries carry risks, and
substantial time and effort is required for rehabilitation. After a year, studies show, the outcomes of
patients who opt for surgery and those who don’t are approximately the same. More invasive surgeries
carry greater risks.
In the US, about 80,000 spine procedures fail each year, and one in ve patients returns for another
operation. Typically, second, third and fourth attempts have an even lower chance of success, and patients
continue to require painkillers over the long term. Even the procedures that surgeons deem successful,
because the bones fuse and look perfect on a scan, are often unhelpful to patients. In one study, two years
after spinal fusion, patients’ pain had barely been reduced by half, and most patients continued to use
painkillers. Given such unimpressive outcomes, second spine surgery costs a fortune, but other
approaches, including epidural steroid injections, physical therapy and chiropractic treatment, are also
expensive.
Including direct medical expenses and indirect expenses such as lost earnings, spine care costs the US
about $100 billion a year. In the UK, that tab is about £10.6 billion (c$13.6 billion). In Australia, it’s A$1.2
billion (c$950 million). Many of these costs derive from the loss of productivity, as people take time off
from work. Others result from the devastation wrought by addiction to prescription opioids. In Australia,
between 1992 and 2012, prescription opioid dispensing increased 15-fold, and the cost to the Australian
government increased more than 32-fold.
Q.2
Why does the author not nd the statement made by the neuroscientist, amusing?
1 Because the neuroscientist was quoting from a classical lyric My Fair Lady.
2 Because the author felt that the neuroscientist was talking in a mood of jest and being ironical about
the author’s pain.
3 Because the author assumed that the neuroscientist took his pain to be unreal.
4 Because the author wanted to prove that his pain was real.
Solution:
Bookmark
Correct Answer : 3
This question is moderately easy. The author is cynical about the statement
Answer key/Solution
made by the neuroscientist.
Directions for questions (1 to 6): The passage below is accompanied by a set of six questions. Choose the
best answer to each question.
For patient after patient seeking to cure chronic back pain, the experience is years of frustration. Whether
they strive to treat their aching muscles, bones and ligaments through physical therapy, massage or
rounds of surgery, relief is often elusive – if the pain has not been made even worse. Now a new working
hypothesis explains why: persistent back pain with no obvious mechanical source does not always result
from tissue damage. Instead, that pain is generated by the central nervous system (CNS) and lives within
the brain itself.
I caught my rst whiff of this news about eight years ago, when I was starting the research for a book
about the back-pain industry. Plus, I’d been dealing with a cranky lower back for a couple of decades, and
things were only getting worse. Over the years, I had tried most of what is called ‘conservative treatment’
such as physical therapy and injections. To date, it had been a deeply unsatisfying journey.
Like most people, I was convinced that the problem was structural: something had gone wrong with my
skeleton, and a surgeon could make it right. When a neuroscientist I was interviewing riffed on the classic
lyric from My Fair Lady, intoning: ‘The reign of pain is mostly in the brain’. I was not amused. The pain was
real, I assured him, pointing to the precise location, which was a full yard south of my cranium.
Like practically everyone I knew with back pain, I wanted to have a spinal MRI. When the radiologist’s note
identi ed ‘degenerative disc disease’, a couple of herniated discs, and several bone spurs, I got the idea
that my spine was on the verge of disintegrating, and needed the immediate attention of a spine surgeon,
whom I hoped could shore up what was left of it.
Months would pass before I understood that multiple studies, dating back to the early 1990s, evaluating
the usefulness of spinal imaging, had shown that people who did not have even a hint of lower-back pain
exhibited the same nasty artifacts as those who were incapacitated. Imaging could help rule out certain
conditions, including spinal tumors, infection, fractures and a condition called cauda equina syndrome, in
which case the patient loses control of the bowel or bladder, but those diagnoses were very rare. Yet tens
of thousands of spinal MRIs were ordered every year in the United States, the United Kingdom and
Australia.
Very often, the next stop was surgery. For certain conditions, such as a recently herniated disc that is
pressing on a spinal nerve root, resulting in leg pain or numbness coupled with progressive weakness, or
foot drop, a nerve decompression can relieve the pain. The problem is that all surgeries carry risks, and
substantial time and effort is required for rehabilitation. After a year, studies show, the outcomes of
patients who opt for surgery and those who don’t are approximately the same. More invasive surgeries
carry greater risks.
In the US, about 80,000 spine procedures fail each year, and one in ve patients returns for another
operation. Typically, second, third and fourth attempts have an even lower chance of success, and patients
continue to require painkillers over the long term. Even the procedures that surgeons deem successful,
because the bones fuse and look perfect on a scan, are often unhelpful to patients. In one study, two years
after spinal fusion, patients’ pain had barely been reduced by half, and most patients continued to use
painkillers. Given such unimpressive outcomes, second spine surgery costs a fortune, but other
approaches, including epidural steroid injections, physical therapy and chiropractic treatment, are also
expensive.
Including direct medical expenses and indirect expenses such as lost earnings, spine care costs the US
about $100 billion a year. In the UK, that tab is about £10.6 billion (c$13.6 billion). In Australia, it’s A$1.2
billion (c$950 million). Many of these costs derive from the loss of productivity, as people take time off
from work. Others result from the devastation wrought by addiction to prescription opioids. In Australia,
between 1992 and 2012, prescription opioid dispensing increased 15-fold, and the cost to the Australian
government increased more than 32-fold.
Q.3
Which of the following can be directly concluded from the information given in paragraph 5?
4 Spinal imaging helps to gure out the reason behind so many ailments related to back.
Solution:
Bookmark
Correct Answer : 2
This is an easy question.
Answer key/Solution
1 - Can be concluded from other sections of the passage, but not here.
2 - The paragraph states- “evaluating the usefulness of spinal imaging, had
shown that people who did not have even a hint of lower-back pain exhibited the same nasty artefacts as
those who were incapacitated.” This makes 2 correct.
3 and 4 - are incorrect as the paragraph states that sometimes spinal imaging is useful. So, it is neither
futile nor a right option to depend on. It may help in identifying the reason back ailment.
FeedBack
Directions for questions (1 to 6): The passage below is accompanied by a set of six questions. Choose the
best answer to each question.
For patient after patient seeking to cure chronic back pain, the experience is years of frustration. Whether
they strive to treat their aching muscles, bones and ligaments through physical therapy, massage or
rounds of surgery, relief is often elusive – if the pain has not been made even worse. Now a new working
hypothesis explains why: persistent back pain with no obvious mechanical source does not always result
from tissue damage. Instead, that pain is generated by the central nervous system (CNS) and lives within
the brain itself.
I caught my rst whiff of this news about eight years ago, when I was starting the research for a book
about the back-pain industry. Plus, I’d been dealing with a cranky lower back for a couple of decades, and
things were only getting worse. Over the years, I had tried most of what is called ‘conservative treatment’
such as physical therapy and injections. To date, it had been a deeply unsatisfying journey.
Like most people, I was convinced that the problem was structural: something had gone wrong with my
skeleton, and a surgeon could make it right. When a neuroscientist I was interviewing riffed on the classic
lyric from My Fair Lady, intoning: ‘The reign of pain is mostly in the brain’. I was not amused. The pain was
real, I assured him, pointing to the precise location, which was a full yard south of my cranium.
Like practically everyone I knew with back pain, I wanted to have a spinal MRI. When the radiologist’s note
identi ed ‘degenerative disc disease’, a couple of herniated discs, and several bone spurs, I got the idea
that my spine was on the verge of disintegrating, and needed the immediate attention of a spine surgeon,
whom I hoped could shore up what was left of it.
Months would pass before I understood that multiple studies, dating back to the early 1990s, evaluating
the usefulness of spinal imaging, had shown that people who did not have even a hint of lower-back pain
exhibited the same nasty artifacts as those who were incapacitated. Imaging could help rule out certain
conditions, including spinal tumors, infection, fractures and a condition called cauda equina syndrome, in
which case the patient loses control of the bowel or bladder, but those diagnoses were very rare. Yet tens
of thousands of spinal MRIs were ordered every year in the United States, the United Kingdom and
Australia.
Very often, the next stop was surgery. For certain conditions, such as a recently herniated disc that is
pressing on a spinal nerve root, resulting in leg pain or numbness coupled with progressive weakness, or
foot drop, a nerve decompression can relieve the pain. The problem is that all surgeries carry risks, and
substantial time and effort is required for rehabilitation. After a year, studies show, the outcomes of
patients who opt for surgery and those who don’t are approximately the same. More invasive surgeries
carry greater risks.
In the US, about 80,000 spine procedures fail each year, and one in ve patients returns for another
operation. Typically, second, third and fourth attempts have an even lower chance of success, and patients
continue to require painkillers over the long term. Even the procedures that surgeons deem successful,
because the bones fuse and look perfect on a scan, are often unhelpful to patients. In one study, two years
after spinal fusion, patients’ pain had barely been reduced by half, and most patients continued to use
painkillers. Given such unimpressive outcomes, second spine surgery costs a fortune, but other
approaches, including epidural steroid injections, physical therapy and chiropractic treatment, are also
expensive.
Including direct medical expenses and indirect expenses such as lost earnings, spine care costs the US
about $100 billion a year. In the UK, that tab is about £10.6 billion (c$13.6 billion). In Australia, it’s A$1.2
billion (c$950 million). Many of these costs derive from the loss of productivity, as people take time off
from work. Others result from the devastation wrought by addiction to prescription opioids. In Australia,
between 1992 and 2012, prescription opioid dispensing increased 15-fold, and the cost to the Australian
government increased more than 32-fold.
Q.4
The main idea of the passage above is:
1 to discuss the reasons why one many need to seek a back pain treatment.
2 to explain that it is possible to x a back pain by going through a thorough spinal imaging test.
3 to elucidate that recuperation from a back pain surgery is not possible unless it is served with proper
rest.
4 to explain that back pain can be xed by understanding that it is produced by the brain.
Solution:
Bookmark
Correct Answer : 4
This is an easy question ans the central issue is peppered throughout the
Answer key/Solution
entire passage.
Directions for questions (1 to 6): The passage below is accompanied by a set of six questions. Choose the
best answer to each question.
For patient after patient seeking to cure chronic back pain, the experience is years of frustration. Whether
they strive to treat their aching muscles, bones and ligaments through physical therapy, massage or
rounds of surgery, relief is often elusive – if the pain has not been made even worse. Now a new working
hypothesis explains why: persistent back pain with no obvious mechanical source does not always result
from tissue damage. Instead, that pain is generated by the central nervous system (CNS) and lives within
the brain itself.
I caught my rst whiff of this news about eight years ago, when I was starting the research for a book
about the back-pain industry. Plus, I’d been dealing with a cranky lower back for a couple of decades, and
things were only getting worse. Over the years, I had tried most of what is called ‘conservative treatment’
such as physical therapy and injections. To date, it had been a deeply unsatisfying journey.
Like most people, I was convinced that the problem was structural: something had gone wrong with my
skeleton, and a surgeon could make it right. When a neuroscientist I was interviewing riffed on the classic
lyric from My Fair Lady, intoning: ‘The reign of pain is mostly in the brain’. I was not amused. The pain was
real, I assured him, pointing to the precise location, which was a full yard south of my cranium.
Like practically everyone I knew with back pain, I wanted to have a spinal MRI. When the radiologist’s note
identi ed ‘degenerative disc disease’, a couple of herniated discs, and several bone spurs, I got the idea
that my spine was on the verge of disintegrating, and needed the immediate attention of a spine surgeon,
whom I hoped could shore up what was left of it.
Months would pass before I understood that multiple studies, dating back to the early 1990s, evaluating
the usefulness of spinal imaging, had shown that people who did not have even a hint of lower-back pain
exhibited the same nasty artifacts as those who were incapacitated. Imaging could help rule out certain
conditions, including spinal tumors, infection, fractures and a condition called cauda equina syndrome, in
which case the patient loses control of the bowel or bladder, but those diagnoses were very rare. Yet tens
of thousands of spinal MRIs were ordered every year in the United States, the United Kingdom and
Australia.
Very often, the next stop was surgery. For certain conditions, such as a recently herniated disc that is
pressing on a spinal nerve root, resulting in leg pain or numbness coupled with progressive weakness, or
foot drop, a nerve decompression can relieve the pain. The problem is that all surgeries carry risks, and
substantial time and effort is required for rehabilitation. After a year, studies show, the outcomes of
patients who opt for surgery and those who don’t are approximately the same. More invasive surgeries
carry greater risks.
In the US, about 80,000 spine procedures fail each year, and one in ve patients returns for another
operation. Typically, second, third and fourth attempts have an even lower chance of success, and patients
continue to require painkillers over the long term. Even the procedures that surgeons deem successful,
because the bones fuse and look perfect on a scan, are often unhelpful to patients. In one study, two years
after spinal fusion, patients’ pain had barely been reduced by half, and most patients continued to use
painkillers. Given such unimpressive outcomes, second spine surgery costs a fortune, but other
approaches, including epidural steroid injections, physical therapy and chiropractic treatment, are also
expensive.
Including direct medical expenses and indirect expenses such as lost earnings, spine care costs the US
about $100 billion a year. In the UK, that tab is about £10.6 billion (c$13.6 billion). In Australia, it’s A$1.2
billion (c$950 million). Many of these costs derive from the loss of productivity, as people take time off
from work. Others result from the devastation wrought by addiction to prescription opioids. In Australia,
between 1992 and 2012, prescription opioid dispensing increased 15-fold, and the cost to the Australian
government increased more than 32-fold.
Q.5
Which of the following is true with regards to the after effects of the surgery?
1 Patients are relieved from the pain for a considerable amount of time.
2 There cannot be any difference between those who go for a surgery and those who do not.
Solution:
Bookmark
Correct Answer : 3
This is an easy question since it can be directly quoted from the data
Answer key/Solution
provided.
Directions for questions (1 to 6): The passage below is accompanied by a set of six questions. Choose the
best answer to each question.
For patient after patient seeking to cure chronic back pain, the experience is years of frustration. Whether
they strive to treat their aching muscles, bones and ligaments through physical therapy, massage or
rounds of surgery, relief is often elusive – if the pain has not been made even worse. Now a new working
hypothesis explains why: persistent back pain with no obvious mechanical source does not always result
from tissue damage. Instead, that pain is generated by the central nervous system (CNS) and lives within
the brain itself.
I caught my rst whiff of this news about eight years ago, when I was starting the research for a book
about the back-pain industry. Plus, I’d been dealing with a cranky lower back for a couple of decades, and
things were only getting worse. Over the years, I had tried most of what is called ‘conservative treatment’
such as physical therapy and injections. To date, it had been a deeply unsatisfying journey.
Like most people, I was convinced that the problem was structural: something had gone wrong with my
skeleton, and a surgeon could make it right. When a neuroscientist I was interviewing riffed on the classic
lyric from My Fair Lady, intoning: ‘The reign of pain is mostly in the brain’. I was not amused. The pain was
real, I assured him, pointing to the precise location, which was a full yard south of my cranium.
Like practically everyone I knew with back pain, I wanted to have a spinal MRI. When the radiologist’s note
identi ed ‘degenerative disc disease’, a couple of herniated discs, and several bone spurs, I got the idea
that my spine was on the verge of disintegrating, and needed the immediate attention of a spine surgeon,
whom I hoped could shore up what was left of it.
Months would pass before I understood that multiple studies, dating back to the early 1990s, evaluating
the usefulness of spinal imaging, had shown that people who did not have even a hint of lower-back pain
exhibited the same nasty artifacts as those who were incapacitated. Imaging could help rule out certain
conditions, including spinal tumors, infection, fractures and a condition called cauda equina syndrome, in
which case the patient loses control of the bowel or bladder, but those diagnoses were very rare. Yet tens
of thousands of spinal MRIs were ordered every year in the United States, the United Kingdom and
Australia.
Very often, the next stop was surgery. For certain conditions, such as a recently herniated disc that is
pressing on a spinal nerve root, resulting in leg pain or numbness coupled with progressive weakness, or
foot drop, a nerve decompression can relieve the pain. The problem is that all surgeries carry risks, and
substantial time and effort is required for rehabilitation. After a year, studies show, the outcomes of
patients who opt for surgery and those who don’t are approximately the same. More invasive surgeries
carry greater risks.
In the US, about 80,000 spine procedures fail each year, and one in ve patients returns for another
operation. Typically, second, third and fourth attempts have an even lower chance of success, and patients
continue to require painkillers over the long term. Even the procedures that surgeons deem successful,
because the bones fuse and look perfect on a scan, are often unhelpful to patients. In one study, two years
after spinal fusion, patients’ pain had barely been reduced by half, and most patients continued to use
painkillers. Given such unimpressive outcomes, second spine surgery costs a fortune, but other
approaches, including epidural steroid injections, physical therapy and chiropractic treatment, are also
expensive.
Including direct medical expenses and indirect expenses such as lost earnings, spine care costs the US
about $100 billion a year. In the UK, that tab is about £10.6 billion (c$13.6 billion). In Australia, it’s A$1.2
billion (c$950 million). Many of these costs derive from the loss of productivity, as people take time off
from work. Others result from the devastation wrought by addiction to prescription opioids. In Australia,
between 1992 and 2012, prescription opioid dispensing increased 15-fold, and the cost to the Australian
government increased more than 32-fold.
Q.6
Based on the passage, all the following are true, EXCEPT:
4 Painkillers are much better than surgeries, for at least their cost is less.
Solution:
Bookmark
Correct Answer : 4
This is a medium level di culty question.
Answer key/Solution
1 - is incorrect since the passage states that the MRI made the author believe
that his spine would disintegrate.
2 - is incorrect since in the passage it is stated that, “Persistent back pain with no obvious mechanical
source does not always result from tissue damage”.
3 - is incorrect since in the passage it is stated that “Given such unimpressive outcomes, second spine
surgery costs a fortune”.
4 - Correct. Though the author says that patients continue to take pain killers, he doesn’t mention if they
are better or cost lest.
FeedBack
Directions for questions (7 to 12): The passage below is accompanied by a set of six questions. Choose
the best answer to each question.
Last month, “Salvator Mundi,” Leonardo da Vinci’s portrayal of Jesus as Savior of the World, sold at auction
for $450.3 million, more than twice the previous record for a work of art sold at auction.
Paying this price for the painting of a man who is said to have told another rich person: “Go, sell your
possessions and give to the poor, and you will have treasure in heaven.”? Ironical doesn’t even begin to
sum it.
The Life You Can Save, a nonpro t organization, has a Charity Impact Calculator that enables you to see
what can be achieved by donations to charities with a proven record of effective aid for the world’s poorest
people. It shows that, for $450 million, you could restore sight to nine million people with curable
blindness, or provide 13 million families with the tools and techniques to grow 50% more food. For $450
million, you could also buy 180 million bed nets, enough to protect 271 million people from malaria. (For
these interventions, the numbers are likely to be somewhat smaller, because the Charity Impact Calculator
is not designed for such large sums, and so does not take into account that costs will rise once the needs
of those who are easiest to reach have been met.)
Rightly or wrongly, most of us do give much more weight to our own interests, and those of our children
and other close relatives and friends, than we do to the interests of others. Yet there is a line at which the
discount rate becomes so great, and the interests of others are treated with such indifference, that we
must say no, that is going too far. We could argue that most a uent people are on the wrong side of that
line.
In 2006, the legendary investor Warren Buffett pledged to give most of his wealth – around $30 billion – to
the Bill & Melinda Gates Foundation to help people in extreme poverty. That gift doubled the resources of
the foundation. To mark the tenth anniversary of Buffett’s pledge, Bill and Melinda Gates recently reported
a gure to him.
122 million.
That’s the number of children’s lives saved since 1990 by progressive reductions in the rate of child
mortality. In other words, if the rate of child mortality had remained constant between 1990 and today, 122
million more children would have died than did in fact die over that period. The Gateses claim that every
dollar spent on childhood immunization yields $44 in economic bene ts, including the money that families
otherwise lose when a child gets sick and a parent cannot work. Warren Buffett’s contribution to
immunizations may be the best investment he has ever made.
What do you think would make a person happier? Owning a painting – even if it were the most marvelous
painting in the world – or knowing that you had kept millions of children healthy, saving lives and
bene ting families economically at the same time? Both common sense and psychological research
suggest that it isn’t owning the painting.
Q.7
What is the irony that the author highlights in the second paragraph?
1 Even though Jesus preached giving away one’s possessions to the poor, the seller of his painting has
charged such a hefty price for it.
2 Even though Leonardo da Vinci said that true treasure can be found in heaven, the buyer paid a
treasure-worthy price for the painting on Earth.
3 Even though Jesus preached that the rich should sell their possessions, the buyer is accumulating
more of them.
4 Even though Jesus preached that one should give one’s possessions to the poor, the buyer is
employing his fortune to buy a painting.
Solution:
Bookmark
Correct Answer : 4
GENRE: Sociology/ Philosophy
Answer key/Solution
Last month, “Salvator Mundi,” Leonardo da Vinci’s portrayal of Jesus as Savior of the World, sold at auction
for $450.3 million, more than twice the previous record for a work of art sold at auction.
Paying this price for the painting of a man who is said to have told another rich person: “Go, sell your
possessions and give to the poor, and you will have treasure in heaven.”? Ironical doesn’t even begin to
sum it.
The Life You Can Save, a nonpro t organization, has a Charity Impact Calculator that enables you to see
what can be achieved by donations to charities with a proven record of effective aid for the world’s poorest
people. It shows that, for $450 million, you could restore sight to nine million people with curable
blindness, or provide 13 million families with the tools and techniques to grow 50% more food. For $450
million, you could also buy 180 million bed nets, enough to protect 271 million people from malaria. (For
these interventions, the numbers are likely to be somewhat smaller, because the Charity Impact Calculator
is not designed for such large sums, and so does not take into account that costs will rise once the needs
of those who are easiest to reach have been met.)
Rightly or wrongly, most of us do give much more weight to our own interests, and those of our children
and other close relatives and friends, than we do to the interests of others. Yet there is a line at which the
discount rate becomes so great, and the interests of others are treated with such indifference, that we
must say no, that is going too far. We could argue that most a uent people are on the wrong side of that
line.
In 2006, the legendary investor Warren Buffett pledged to give most of his wealth – around $30 billion – to
the Bill & Melinda Gates Foundation to help people in extreme poverty. That gift doubled the resources of
the foundation. To mark the tenth anniversary of Buffett’s pledge, Bill and Melinda Gates recently reported
a gure to him.
122 million.
That’s the number of children’s lives saved since 1990 by progressive reductions in the rate of child
mortality. In other words, if the rate of child mortality had remained constant between 1990 and today, 122
million more children would have died than did in fact die over that period. The Gateses claim that every
dollar spent on childhood immunization yields $44 in economic bene ts, including the money that families
otherwise lose when a child gets sick and a parent cannot work. Warren Buffett’s contribution to
immunizations may be the best investment he has ever made.
What do you think would make a person happier? Owning a painting – even if it were the most marvelous
painting in the world – or knowing that you had kept millions of children healthy, saving lives and
bene ting families economically at the same time? Both common sense and psychological research
suggest that it isn’t owning the painting.
Q.8
What is the ‘costs’ that the author is talking about in the last line of the third paragraph?
1 The incremental costs of meeting the continuing need for care of the impacted people
4 The compliance costs associated with justifying the utilisation of the grants received
Solution:
Bookmark
Correct Answer : 3
This is a moderately easy question.
Answer key/Solution
Last month, “Salvator Mundi,” Leonardo da Vinci’s portrayal of Jesus as Savior of the World, sold at auction
for $450.3 million, more than twice the previous record for a work of art sold at auction.
Paying this price for the painting of a man who is said to have told another rich person: “Go, sell your
possessions and give to the poor, and you will have treasure in heaven.”? Ironical doesn’t even begin to
sum it.
The Life You Can Save, a nonpro t organization, has a Charity Impact Calculator that enables you to see
what can be achieved by donations to charities with a proven record of effective aid for the world’s poorest
people. It shows that, for $450 million, you could restore sight to nine million people with curable
blindness, or provide 13 million families with the tools and techniques to grow 50% more food. For $450
million, you could also buy 180 million bed nets, enough to protect 271 million people from malaria. (For
these interventions, the numbers are likely to be somewhat smaller, because the Charity Impact Calculator
is not designed for such large sums, and so does not take into account that costs will rise once the needs
of those who are easiest to reach have been met.)
Rightly or wrongly, most of us do give much more weight to our own interests, and those of our children
and other close relatives and friends, than we do to the interests of others. Yet there is a line at which the
discount rate becomes so great, and the interests of others are treated with such indifference, that we
must say no, that is going too far. We could argue that most a uent people are on the wrong side of that
line.
In 2006, the legendary investor Warren Buffett pledged to give most of his wealth – around $30 billion – to
the Bill & Melinda Gates Foundation to help people in extreme poverty. That gift doubled the resources of
the foundation. To mark the tenth anniversary of Buffett’s pledge, Bill and Melinda Gates recently reported
a gure to him.
122 million.
That’s the number of children’s lives saved since 1990 by progressive reductions in the rate of child
mortality. In other words, if the rate of child mortality had remained constant between 1990 and today, 122
million more children would have died than did in fact die over that period. The Gateses claim that every
dollar spent on childhood immunization yields $44 in economic bene ts, including the money that families
otherwise lose when a child gets sick and a parent cannot work. Warren Buffett’s contribution to
immunizations may be the best investment he has ever made.
What do you think would make a person happier? Owning a painting – even if it were the most marvelous
painting in the world – or knowing that you had kept millions of children healthy, saving lives and
bene ting families economically at the same time? Both common sense and psychological research
suggest that it isn’t owning the painting.
Q.9
Why does the author call Warren Buffet’s contribution “maybe the best investment he has ever made”?
1 The contributions have generated the highest ever returns that Buffet has made on any investment.
2 The contributions have helped save the lives of 122 million children since 1990.
3 The contributions have enabled millions of parents to work who would otherwise have to take care of
a sick child.
4 The contributions have generated economic bene ts of $44 for every dollar spent.
Solution:
Bookmark
Correct Answer : 4
This is medium level di culty question.
Answer key/Solution
1 - is incorrect since it cannot be veri ed from the given data.
2 and 3 - though true does not lead to the author’s calling Buffet’s gesture the
best ‘investment’ he has ever made.
4 - Correct. The primary criterion for judging an investment is its returns. These have been talked about in
4. Moreover the economic bene ts in 4 cover the money generated through the fact mentioned in 3.
FeedBack
Directions for questions (7 to 12): The passage below is accompanied by a set of six questions. Choose
the best answer to each question.
Last month, “Salvator Mundi,” Leonardo da Vinci’s portrayal of Jesus as Savior of the World, sold at auction
for $450.3 million, more than twice the previous record for a work of art sold at auction.
Paying this price for the painting of a man who is said to have told another rich person: “Go, sell your
possessions and give to the poor, and you will have treasure in heaven.”? Ironical doesn’t even begin to
sum it.
The Life You Can Save, a nonpro t organization, has a Charity Impact Calculator that enables you to see
what can be achieved by donations to charities with a proven record of effective aid for the world’s poorest
people. It shows that, for $450 million, you could restore sight to nine million people with curable
blindness, or provide 13 million families with the tools and techniques to grow 50% more food. For $450
million, you could also buy 180 million bed nets, enough to protect 271 million people from malaria. (For
these interventions, the numbers are likely to be somewhat smaller, because the Charity Impact Calculator
is not designed for such large sums, and so does not take into account that costs will rise once the needs
of those who are easiest to reach have been met.)
Rightly or wrongly, most of us do give much more weight to our own interests, and those of our children
and other close relatives and friends, than we do to the interests of others. Yet there is a line at which the
discount rate becomes so great, and the interests of others are treated with such indifference, that we
must say no, that is going too far. We could argue that most a uent people are on the wrong side of that
line.
In 2006, the legendary investor Warren Buffett pledged to give most of his wealth – around $30 billion – to
the Bill & Melinda Gates Foundation to help people in extreme poverty. That gift doubled the resources of
the foundation. To mark the tenth anniversary of Buffett’s pledge, Bill and Melinda Gates recently reported
a gure to him.
122 million.
That’s the number of children’s lives saved since 1990 by progressive reductions in the rate of child
mortality. In other words, if the rate of child mortality had remained constant between 1990 and today, 122
million more children would have died than did in fact die over that period. The Gateses claim that every
dollar spent on childhood immunization yields $44 in economic bene ts, including the money that families
otherwise lose when a child gets sick and a parent cannot work. Warren Buffett’s contribution to
immunizations may be the best investment he has ever made.
What do you think would make a person happier? Owning a painting – even if it were the most marvelous
painting in the world – or knowing that you had kept millions of children healthy, saving lives and
bene ting families economically at the same time? Both common sense and psychological research
suggest that it isn’t owning the painting.
Q.10
As per the passage, all of the following are true EXCEPT:
1 The Charity Impact Calculator is not designed for extremely large sums.
2 Most of us put our own interests above the interests of our relatives and friends.
3 Salvator Mundi has broken the record of every painting sold at an auction earlier.
Solution:
Bookmark
Correct Answer : 2
This is a medium level di culty question.
Answer key/Solution
Last month, “Salvator Mundi,” Leonardo da Vinci’s portrayal of Jesus as Savior of the World, sold at auction
for $450.3 million, more than twice the previous record for a work of art sold at auction.
Paying this price for the painting of a man who is said to have told another rich person: “Go, sell your
possessions and give to the poor, and you will have treasure in heaven.”? Ironical doesn’t even begin to
sum it.
The Life You Can Save, a nonpro t organization, has a Charity Impact Calculator that enables you to see
what can be achieved by donations to charities with a proven record of effective aid for the world’s poorest
people. It shows that, for $450 million, you could restore sight to nine million people with curable
blindness, or provide 13 million families with the tools and techniques to grow 50% more food. For $450
million, you could also buy 180 million bed nets, enough to protect 271 million people from malaria. (For
these interventions, the numbers are likely to be somewhat smaller, because the Charity Impact Calculator
is not designed for such large sums, and so does not take into account that costs will rise once the needs
of those who are easiest to reach have been met.)
Rightly or wrongly, most of us do give much more weight to our own interests, and those of our children
and other close relatives and friends, than we do to the interests of others. Yet there is a line at which the
discount rate becomes so great, and the interests of others are treated with such indifference, that we
must say no, that is going too far. We could argue that most a uent people are on the wrong side of that
line.
In 2006, the legendary investor Warren Buffett pledged to give most of his wealth – around $30 billion – to
the Bill & Melinda Gates Foundation to help people in extreme poverty. That gift doubled the resources of
the foundation. To mark the tenth anniversary of Buffett’s pledge, Bill and Melinda Gates recently reported
a gure to him.
122 million.
That’s the number of children’s lives saved since 1990 by progressive reductions in the rate of child
mortality. In other words, if the rate of child mortality had remained constant between 1990 and today, 122
million more children would have died than did in fact die over that period. The Gateses claim that every
dollar spent on childhood immunization yields $44 in economic bene ts, including the money that families
otherwise lose when a child gets sick and a parent cannot work. Warren Buffett’s contribution to
immunizations may be the best investment he has ever made.
What do you think would make a person happier? Owning a painting – even if it were the most marvelous
painting in the world – or knowing that you had kept millions of children healthy, saving lives and
bene ting families economically at the same time? Both common sense and psychological research
suggest that it isn’t owning the painting.
Q.11
The author seems critical of the decision of the buyer to deploy a huge sum to own a painting, rather than
helping the needy. Which of the following arguments, if true, would change his mind?
1 The buyer of the painting pledged, $ 40 bn out of his wealth to charitable causes.
2 The buyer of the painting has housed it in a museum open to everyone, including the poor. A part of
the ticket proceeds of the museum is kept by the buyer.
3 The buyer has started leasing the painting to various museums in return for a fee of one-sixth its
purchase price. So far, 8 museums have leased it and the buyer has given the revenue to charitable
causes.
4 The buyer resells the painting at a much higher price and invests the proceeds in the IT sector. A
booming sector in his developing nation, it is the highest contributor to the employment.
Solution:
Bookmark
Correct Answer : 3
This is a moderately di cult question.
Answer key/Solution
1 - is incorrect since, although the buyer donates a huge sum to his
community, it doesn’t change the fact that he spent $ 450 million on a
painting. It also doesn’t state whether his community belongs to the underprivileged category.
2 - is incorrect as the buyer is de nitely not helping the poor as the museum charges tickets. Also, seeing
a painting in a museum is not an ‘essential need’.
3 - Correct. Through 3 the buyer has employed the painting for charitable causes. Through leasing it, he
has contributed approximately $600 mn to charity, an amount higher than its purchase price.
4 - is incorrect since the buyer indirectly contributes to employment. However, we don’t know if the needy
people nd employment in this sector. Moreover the buyer’s decision is motivated by nancial gain.
FeedBack
Directions for questions (7 to 12): The passage below is accompanied by a set of six questions. Choose
the best answer to each question.
Last month, “Salvator Mundi,” Leonardo da Vinci’s portrayal of Jesus as Savior of the World, sold at auction
for $450.3 million, more than twice the previous record for a work of art sold at auction.
Paying this price for the painting of a man who is said to have told another rich person: “Go, sell your
possessions and give to the poor, and you will have treasure in heaven.”? Ironical doesn’t even begin to
sum it.
The Life You Can Save, a nonpro t organization, has a Charity Impact Calculator that enables you to see
what can be achieved by donations to charities with a proven record of effective aid for the world’s poorest
people. It shows that, for $450 million, you could restore sight to nine million people with curable
blindness, or provide 13 million families with the tools and techniques to grow 50% more food. For $450
million, you could also buy 180 million bed nets, enough to protect 271 million people from malaria. (For
these interventions, the numbers are likely to be somewhat smaller, because the Charity Impact Calculator
is not designed for such large sums, and so does not take into account that costs will rise once the needs
of those who are easiest to reach have been met.)
Rightly or wrongly, most of us do give much more weight to our own interests, and those of our children
and other close relatives and friends, than we do to the interests of others. Yet there is a line at which the
discount rate becomes so great, and the interests of others are treated with such indifference, that we
must say no, that is going too far. We could argue that most a uent people are on the wrong side of that
line.
In 2006, the legendary investor Warren Buffett pledged to give most of his wealth – around $30 billion – to
the Bill & Melinda Gates Foundation to help people in extreme poverty. That gift doubled the resources of
the foundation. To mark the tenth anniversary of Buffett’s pledge, Bill and Melinda Gates recently reported
a gure to him.
122 million.
That’s the number of children’s lives saved since 1990 by progressive reductions in the rate of child
mortality. In other words, if the rate of child mortality had remained constant between 1990 and today, 122
million more children would have died than did in fact die over that period. The Gateses claim that every
dollar spent on childhood immunization yields $44 in economic bene ts, including the money that families
otherwise lose when a child gets sick and a parent cannot work. Warren Buffett’s contribution to
immunizations may be the best investment he has ever made.
What do you think would make a person happier? Owning a painting – even if it were the most marvelous
painting in the world – or knowing that you had kept millions of children healthy, saving lives and
bene ting families economically at the same time? Both common sense and psychological research
suggest that it isn’t owning the painting.
Q.12
Which of the following can be inferred from the passage?
1 Sometimes, putting the interest of others over our own can make us happier.
2 A rich man should sell his possessions and give away to the poor.
3 The a uent have a moral responsibility to help the needy.
Solution:
Bookmark
Correct Answer : 1
This is a moderately easy question.
Answer key/Solution
1 - Correct. 1 can be derived from the fourth and the last paragraph.
2 - is incorrect since it is something that Jesus said. It is not something that
the author implied.
3 - is incorrect since the author argues in the fourth paragraph, that while giving more weight to our
interests, we should not ‘grossly’ discount those of others. It does not make a general case for a moral
responsibility to help others. It has been twisted.
4 - is incorrect as it talks about investment decisions which is not the focus of the passage.
FeedBack
Directions for questions (13 to 18): The passage below is accompanied by a set of six questions. Choose
the best answer to each question.
At the time, cardiac transplant surgery was barely a decade old, pioneered by a handful of individuals who
had developed a radical method of switching a heart from one body to another – but all previous
transplants had been done in dogs. As they worked to stitch the new organ into Washkansky’s body and
then shock it into life, Barnard and his team were improvising, guided only by a few dozen animal studies,
the suggestions of scienti c papers and their own instinct. But at 6.13am, after almost four hours of
surgery, Washkansky’s transplanted heart started to stir. As Barnard would write: “Little by little it began to
roll with the lovely rhythm of life.”
It would prove to be a de ning moment in the history of medical science. While Washkansky himself would
die of pneumonia just 18 days later, his body weakened by intensive antirejection treatment, his case
paved the way for hundreds of heart transplants in the following years. Now, 50 years on from Barnard’s
achievement, 4,000 heart transplants are performed around the world each year. But while some patients
live for decades, complications persist due to the need for constant immunosuppressant treatment,
meaning the survival rate after 12 years is still just 50%. In addition, while studies in the US have found
that more than 20,000 Americans could bene t from a heart transplant each year, just 2,000 transplants
are performed there due to a shortage of donors.
But many scientists believe we are on the verge of a new medical revolution. Advances in regenerative
medicine will allow us to repair damaged hearts instead of replacing them. In all mammals, it’s almost
impossible for a damaged heart to repair itself. Within minutes of being deprived of oxygen due to a
blocked artery, the heart’s muscle cells start to die. If surgeons are able to tackle the blockage within one
hour, the damage can be reversed. If 12 hours have passed, up to 1bn heart cells may already be lost,
replaced only by tough, rigid scar tissue.
“The problem is that the regenerative power of the heart is lower than other organs,” says Dr Tim Henry,
director of cardiology at the Cedars-Sinai Medical Center in Los Angeles. “If you lose half your liver, it will
grow back. Your skin heals completely very quickly. But for people whose heart failure isn’t treated in time,
or who have already had one heart attack, there’s permanent, signi cant damage which leaves them
requiring a transplant.”
Over the past 15 years, scientists have experimented with taking stem cells from the blood or bone
marrow and injecting them into badly damaged hearts. This typically works well in improving blood ow to
the heart, helping patients who have bad blockages in their arteries. But despite numerous attempts, these
individual stem cells have been unable to grow back much of the lost heart muscle. The body’s immune
responses are so hostile to new cells implanted into the heart that even when the patient’s own tissue is
used, 90% of the cells still die.
“The stem cell approach has shown some bene t, but it’s been relatively short-lived,” says Prof Richard
Farndale of the University of Cambridge. “What generally happens is that the stem cells fail to attach to the
heart and are lost into the bloodstream fairly quickly.”
However, a new approach appears to hold a lot more promise. Scientists are growing “heart patches”, tiny
beating pieces of heart muscle, in small dishes in the lab. They are made by taking a drop of blood from a
patient and engineering the blood cells into a layer of fully formed cardiac tissue. This is genetically
matched to that person, and can be engrafted into the heart to replace damaged areas. This has been
tested in mice and will soon be tested in pigs. In the next ve years, scientists hope to launch a clinical
trial to apply the patches in humans. At a cost of about £70,000 a patient, it promises to be a far more
economically viable alternative to heart transplants, which, with the huge surgical teams required, cost the
NHS up to £500,000.
“The hope is that by providing a patch of tissue which already beats and contracts, instead of just
individual cells, the body’s built-in programming will take over and assimilate it into the heart as if it was
already there,” says Tim Kamp, professor of regenerative biology, who builds heart patches at the
University of Wisconsin.
One of the challenges in coming years is to ensure that the new patch electrically integrates with the heart
so that both beat in synchrony. Scientists hope that because the patch will be so similar to the existing
heart muscle, natural bodily processes will take over.
“We anticipate this will happen, but we have to make sure and be really cautious,” Kamp says. “The heart
isn’t a USB socket which we can just plug things into. For patients with severe heart failure, the whole
heart dilates to try to adapt to the damage. It changes shape from being like a football to a big basketball.
But we hope these patches will be able to heal a much larger area of damage than single cell injections.
And if multiple patches are required to replace multiple areas of scarring, we can put those in. This
technology may really provide a whole avenue of hope for people with these conditions who badly need
new treatments.”
Q.13
Which of the following statements is not true according to the passage?
1 More than 20,000 Americans could bene t from a heart transplant each year.
2 Around 4,000 heart transplants are performed each year in the US.
4 Heart patches are expected to be economically more viable than the heart transplants.
Solution:
Bookmark
Correct Answer : 2
This is an easy question to decipher.
Answer key/Solution
1-Refer to the last line of the 2nd paragraph.
2- 4,000 is the number of transplants performed each year worldwide, and not
in the US.
3- Refer to the 1st line of the last paragraph.
4- Refer to this line- "At a cost of about £70,000 a patient, it promises to be a far more economically viable
alternative to heart transplants, which, with the huge surgical teams required, cost the NHS up to
£500,000. "
FeedBack
Directions for questions (13 to 18): The passage below is accompanied by a set of six questions. Choose
the best answer to each question.
At the time, cardiac transplant surgery was barely a decade old, pioneered by a handful of individuals who
had developed a radical method of switching a heart from one body to another – but all previous
transplants had been done in dogs. As they worked to stitch the new organ into Washkansky’s body and
then shock it into life, Barnard and his team were improvising, guided only by a few dozen animal studies,
the suggestions of scienti c papers and their own instinct. But at 6.13am, after almost four hours of
surgery, Washkansky’s transplanted heart started to stir. As Barnard would write: “Little by little it began to
roll with the lovely rhythm of life.”
It would prove to be a de ning moment in the history of medical science. While Washkansky himself would
die of pneumonia just 18 days later, his body weakened by intensive antirejection treatment, his case
paved the way for hundreds of heart transplants in the following years. Now, 50 years on from Barnard’s
achievement, 4,000 heart transplants are performed around the world each year. But while some patients
live for decades, complications persist due to the need for constant immunosuppressant treatment,
meaning the survival rate after 12 years is still just 50%. In addition, while studies in the US have found
that more than 20,000 Americans could bene t from a heart transplant each year, just 2,000 transplants
are performed there due to a shortage of donors.
But many scientists believe we are on the verge of a new medical revolution. Advances in regenerative
medicine will allow us to repair damaged hearts instead of replacing them. In all mammals, it’s almost
impossible for a damaged heart to repair itself. Within minutes of being deprived of oxygen due to a
blocked artery, the heart’s muscle cells start to die. If surgeons are able to tackle the blockage within one
hour, the damage can be reversed. If 12 hours have passed, up to 1bn heart cells may already be lost,
replaced only by tough, rigid scar tissue.
“The problem is that the regenerative power of the heart is lower than other organs,” says Dr Tim Henry,
director of cardiology at the Cedars-Sinai Medical Center in Los Angeles. “If you lose half your liver, it will
grow back. Your skin heals completely very quickly. But for people whose heart failure isn’t treated in time,
or who have already had one heart attack, there’s permanent, signi cant damage which leaves them
requiring a transplant.”
Over the past 15 years, scientists have experimented with taking stem cells from the blood or bone
marrow and injecting them into badly damaged hearts. This typically works well in improving blood ow to
the heart, helping patients who have bad blockages in their arteries. But despite numerous attempts, these
individual stem cells have been unable to grow back much of the lost heart muscle. The body’s immune
responses are so hostile to new cells implanted into the heart that even when the patient’s own tissue is
used, 90% of the cells still die.
“The stem cell approach has shown some bene t, but it’s been relatively short-lived,” says Prof Richard
Farndale of the University of Cambridge. “What generally happens is that the stem cells fail to attach to the
heart and are lost into the bloodstream fairly quickly.”
However, a new approach appears to hold a lot more promise. Scientists are growing “heart patches”, tiny
beating pieces of heart muscle, in small dishes in the lab. They are made by taking a drop of blood from a
patient and engineering the blood cells into a layer of fully formed cardiac tissue. This is genetically
matched to that person, and can be engrafted into the heart to replace damaged areas. This has been
tested in mice and will soon be tested in pigs. In the next ve years, scientists hope to launch a clinical
trial to apply the patches in humans. At a cost of about £70,000 a patient, it promises to be a far more
economically viable alternative to heart transplants, which, with the huge surgical teams required, cost the
NHS up to £500,000.
“The hope is that by providing a patch of tissue which already beats and contracts, instead of just
individual cells, the body’s built-in programming will take over and assimilate it into the heart as if it was
already there,” says Tim Kamp, professor of regenerative biology, who builds heart patches at the
University of Wisconsin.
One of the challenges in coming years is to ensure that the new patch electrically integrates with the heart
so that both beat in synchrony. Scientists hope that because the patch will be so similar to the existing
heart muscle, natural bodily processes will take over.
“We anticipate this will happen, but we have to make sure and be really cautious,” Kamp says. “The heart
isn’t a USB socket which we can just plug things into. For patients with severe heart failure, the whole
heart dilates to try to adapt to the damage. It changes shape from being like a football to a big basketball.
But we hope these patches will be able to heal a much larger area of damage than single cell injections.
And if multiple patches are required to replace multiple areas of scarring, we can put those in. This
technology may really provide a whole avenue of hope for people with these conditions who badly need
new treatments.”
Q.14
According to the passage, the ‘heart patches’ approach involves all of the following except:
1 Heart patches are engrafted into the heart to replace damaged areas.
4 Blood cells are engineered into a layer of fully formed cardiac tissue.
Solution:
Bookmark
Correct Answer : 3
This is a moderate level question.
Answer key/Solution
1- Refer to "This is genetically matched to that person, and can be engrafted
into the heart to replace damaged areas."
2- Refer to-"his is genetically matched to that person, and can be engrafted into the heart to replace
damaged areas. "
3- All except 3 are true according to the passage. According to the passage heart patches are “made by
taking a drop of blood from a patient”.
4- Refer to- "They are made by taking a drop of blood from a patient and engineering the blood cells into a
layer of fully formed cardiac tissue."
FeedBack
Directions for questions (13 to 18): The passage below is accompanied by a set of six questions. Choose
the best answer to each question.
At the time, cardiac transplant surgery was barely a decade old, pioneered by a handful of individuals who
had developed a radical method of switching a heart from one body to another – but all previous
transplants had been done in dogs. As they worked to stitch the new organ into Washkansky’s body and
then shock it into life, Barnard and his team were improvising, guided only by a few dozen animal studies,
the suggestions of scienti c papers and their own instinct. But at 6.13am, after almost four hours of
surgery, Washkansky’s transplanted heart started to stir. As Barnard would write: “Little by little it began to
roll with the lovely rhythm of life.”
It would prove to be a de ning moment in the history of medical science. While Washkansky himself would
die of pneumonia just 18 days later, his body weakened by intensive antirejection treatment, his case
paved the way for hundreds of heart transplants in the following years. Now, 50 years on from Barnard’s
achievement, 4,000 heart transplants are performed around the world each year. But while some patients
live for decades, complications persist due to the need for constant immunosuppressant treatment,
meaning the survival rate after 12 years is still just 50%. In addition, while studies in the US have found
that more than 20,000 Americans could bene t from a heart transplant each year, just 2,000 transplants
are performed there due to a shortage of donors.
But many scientists believe we are on the verge of a new medical revolution. Advances in regenerative
medicine will allow us to repair damaged hearts instead of replacing them. In all mammals, it’s almost
impossible for a damaged heart to repair itself. Within minutes of being deprived of oxygen due to a
blocked artery, the heart’s muscle cells start to die. If surgeons are able to tackle the blockage within one
hour, the damage can be reversed. If 12 hours have passed, up to 1bn heart cells may already be lost,
replaced only by tough, rigid scar tissue.
“The problem is that the regenerative power of the heart is lower than other organs,” says Dr Tim Henry,
director of cardiology at the Cedars-Sinai Medical Center in Los Angeles. “If you lose half your liver, it will
grow back. Your skin heals completely very quickly. But for people whose heart failure isn’t treated in time,
or who have already had one heart attack, there’s permanent, signi cant damage which leaves them
requiring a transplant.”
Over the past 15 years, scientists have experimented with taking stem cells from the blood or bone
marrow and injecting them into badly damaged hearts. This typically works well in improving blood ow to
the heart, helping patients who have bad blockages in their arteries. But despite numerous attempts, these
individual stem cells have been unable to grow back much of the lost heart muscle. The body’s immune
responses are so hostile to new cells implanted into the heart that even when the patient’s own tissue is
used, 90% of the cells still die.
“The stem cell approach has shown some bene t, but it’s been relatively short-lived,” says Prof Richard
Farndale of the University of Cambridge. “What generally happens is that the stem cells fail to attach to the
heart and are lost into the bloodstream fairly quickly.”
However, a new approach appears to hold a lot more promise. Scientists are growing “heart patches”, tiny
beating pieces of heart muscle, in small dishes in the lab. They are made by taking a drop of blood from a
patient and engineering the blood cells into a layer of fully formed cardiac tissue. This is genetically
matched to that person, and can be engrafted into the heart to replace damaged areas. This has been
tested in mice and will soon be tested in pigs. In the next ve years, scientists hope to launch a clinical
trial to apply the patches in humans. At a cost of about £70,000 a patient, it promises to be a far more
economically viable alternative to heart transplants, which, with the huge surgical teams required, cost the
NHS up to £500,000.
“The hope is that by providing a patch of tissue which already beats and contracts, instead of just
individual cells, the body’s built-in programming will take over and assimilate it into the heart as if it was
already there,” says Tim Kamp, professor of regenerative biology, who builds heart patches at the
University of Wisconsin.
One of the challenges in coming years is to ensure that the new patch electrically integrates with the heart
so that both beat in synchrony. Scientists hope that because the patch will be so similar to the existing
heart muscle, natural bodily processes will take over.
“We anticipate this will happen, but we have to make sure and be really cautious,” Kamp says. “The heart
isn’t a USB socket which we can just plug things into. For patients with severe heart failure, the whole
heart dilates to try to adapt to the damage. It changes shape from being like a football to a big basketball.
But we hope these patches will be able to heal a much larger area of damage than single cell injections.
And if multiple patches are required to replace multiple areas of scarring, we can put those in. This
technology may really provide a whole avenue of hope for people with these conditions who badly need
new treatments.”
Q.15
The primary purpose of the passage is to:
Directions for questions (13 to 18): The passage below is accompanied by a set of six questions. Choose
the best answer to each question.
At the time, cardiac transplant surgery was barely a decade old, pioneered by a handful of individuals who
had developed a radical method of switching a heart from one body to another – but all previous
transplants had been done in dogs. As they worked to stitch the new organ into Washkansky’s body and
then shock it into life, Barnard and his team were improvising, guided only by a few dozen animal studies,
the suggestions of scienti c papers and their own instinct. But at 6.13am, after almost four hours of
surgery, Washkansky’s transplanted heart started to stir. As Barnard would write: “Little by little it began to
roll with the lovely rhythm of life.”
It would prove to be a de ning moment in the history of medical science. While Washkansky himself would
die of pneumonia just 18 days later, his body weakened by intensive antirejection treatment, his case
paved the way for hundreds of heart transplants in the following years. Now, 50 years on from Barnard’s
achievement, 4,000 heart transplants are performed around the world each year. But while some patients
live for decades, complications persist due to the need for constant immunosuppressant treatment,
meaning the survival rate after 12 years is still just 50%. In addition, while studies in the US have found
that more than 20,000 Americans could bene t from a heart transplant each year, just 2,000 transplants
are performed there due to a shortage of donors.
But many scientists believe we are on the verge of a new medical revolution. Advances in regenerative
medicine will allow us to repair damaged hearts instead of replacing them. In all mammals, it’s almost
impossible for a damaged heart to repair itself. Within minutes of being deprived of oxygen due to a
blocked artery, the heart’s muscle cells start to die. If surgeons are able to tackle the blockage within one
hour, the damage can be reversed. If 12 hours have passed, up to 1bn heart cells may already be lost,
replaced only by tough, rigid scar tissue.
“The problem is that the regenerative power of the heart is lower than other organs,” says Dr Tim Henry,
director of cardiology at the Cedars-Sinai Medical Center in Los Angeles. “If you lose half your liver, it will
grow back. Your skin heals completely very quickly. But for people whose heart failure isn’t treated in time,
or who have already had one heart attack, there’s permanent, signi cant damage which leaves them
requiring a transplant.”
Over the past 15 years, scientists have experimented with taking stem cells from the blood or bone
marrow and injecting them into badly damaged hearts. This typically works well in improving blood ow to
the heart, helping patients who have bad blockages in their arteries. But despite numerous attempts, these
individual stem cells have been unable to grow back much of the lost heart muscle. The body’s immune
responses are so hostile to new cells implanted into the heart that even when the patient’s own tissue is
used, 90% of the cells still die.
“The stem cell approach has shown some bene t, but it’s been relatively short-lived,” says Prof Richard
Farndale of the University of Cambridge. “What generally happens is that the stem cells fail to attach to the
heart and are lost into the bloodstream fairly quickly.”
However, a new approach appears to hold a lot more promise. Scientists are growing “heart patches”, tiny
beating pieces of heart muscle, in small dishes in the lab. They are made by taking a drop of blood from a
patient and engineering the blood cells into a layer of fully formed cardiac tissue. This is genetically
matched to that person, and can be engrafted into the heart to replace damaged areas. This has been
tested in mice and will soon be tested in pigs. In the next ve years, scientists hope to launch a clinical
trial to apply the patches in humans. At a cost of about £70,000 a patient, it promises to be a far more
economically viable alternative to heart transplants, which, with the huge surgical teams required, cost the
NHS up to £500,000.
“The hope is that by providing a patch of tissue which already beats and contracts, instead of just
individual cells, the body’s built-in programming will take over and assimilate it into the heart as if it was
already there,” says Tim Kamp, professor of regenerative biology, who builds heart patches at the
University of Wisconsin.
One of the challenges in coming years is to ensure that the new patch electrically integrates with the heart
so that both beat in synchrony. Scientists hope that because the patch will be so similar to the existing
heart muscle, natural bodily processes will take over.
“We anticipate this will happen, but we have to make sure and be really cautious,” Kamp says. “The heart
isn’t a USB socket which we can just plug things into. For patients with severe heart failure, the whole
heart dilates to try to adapt to the damage. It changes shape from being like a football to a big basketball.
But we hope these patches will be able to heal a much larger area of damage than single cell injections.
And if multiple patches are required to replace multiple areas of scarring, we can put those in. This
technology may really provide a whole avenue of hope for people with these conditions who badly need
new treatments.”
Q.16
Why is it almost impossible for a damaged heart to repair itself in mammals?
1 Within minutes of being deprived of oxygen, the heart’s muscles start to die.
2 Within minutes of being deprived of oxygen due to a blocked artery, the heart’s muscle cells start to
die.
Directions for questions (13 to 18): The passage below is accompanied by a set of six questions. Choose
the best answer to each question.
At the time, cardiac transplant surgery was barely a decade old, pioneered by a handful of individuals who
had developed a radical method of switching a heart from one body to another – but all previous
transplants had been done in dogs. As they worked to stitch the new organ into Washkansky’s body and
then shock it into life, Barnard and his team were improvising, guided only by a few dozen animal studies,
the suggestions of scienti c papers and their own instinct. But at 6.13am, after almost four hours of
surgery, Washkansky’s transplanted heart started to stir. As Barnard would write: “Little by little it began to
roll with the lovely rhythm of life.”
It would prove to be a de ning moment in the history of medical science. While Washkansky himself would
die of pneumonia just 18 days later, his body weakened by intensive antirejection treatment, his case
paved the way for hundreds of heart transplants in the following years. Now, 50 years on from Barnard’s
achievement, 4,000 heart transplants are performed around the world each year. But while some patients
live for decades, complications persist due to the need for constant immunosuppressant treatment,
meaning the survival rate after 12 years is still just 50%. In addition, while studies in the US have found
that more than 20,000 Americans could bene t from a heart transplant each year, just 2,000 transplants
are performed there due to a shortage of donors.
But many scientists believe we are on the verge of a new medical revolution. Advances in regenerative
medicine will allow us to repair damaged hearts instead of replacing them. In all mammals, it’s almost
impossible for a damaged heart to repair itself. Within minutes of being deprived of oxygen due to a
blocked artery, the heart’s muscle cells start to die. If surgeons are able to tackle the blockage within one
hour, the damage can be reversed. If 12 hours have passed, up to 1bn heart cells may already be lost,
replaced only by tough, rigid scar tissue.
“The problem is that the regenerative power of the heart is lower than other organs,” says Dr Tim Henry,
director of cardiology at the Cedars-Sinai Medical Center in Los Angeles. “If you lose half your liver, it will
grow back. Your skin heals completely very quickly. But for people whose heart failure isn’t treated in time,
or who have already had one heart attack, there’s permanent, signi cant damage which leaves them
requiring a transplant.”
Over the past 15 years, scientists have experimented with taking stem cells from the blood or bone
marrow and injecting them into badly damaged hearts. This typically works well in improving blood ow to
the heart, helping patients who have bad blockages in their arteries. But despite numerous attempts, these
individual stem cells have been unable to grow back much of the lost heart muscle. The body’s immune
responses are so hostile to new cells implanted into the heart that even when the patient’s own tissue is
used, 90% of the cells still die.
“The stem cell approach has shown some bene t, but it’s been relatively short-lived,” says Prof Richard
Farndale of the University of Cambridge. “What generally happens is that the stem cells fail to attach to the
heart and are lost into the bloodstream fairly quickly.”
However, a new approach appears to hold a lot more promise. Scientists are growing “heart patches”, tiny
beating pieces of heart muscle, in small dishes in the lab. They are made by taking a drop of blood from a
patient and engineering the blood cells into a layer of fully formed cardiac tissue. This is genetically
matched to that person, and can be engrafted into the heart to replace damaged areas. This has been
tested in mice and will soon be tested in pigs. In the next ve years, scientists hope to launch a clinical
trial to apply the patches in humans. At a cost of about £70,000 a patient, it promises to be a far more
economically viable alternative to heart transplants, which, with the huge surgical teams required, cost the
NHS up to £500,000.
“The hope is that by providing a patch of tissue which already beats and contracts, instead of just
individual cells, the body’s built-in programming will take over and assimilate it into the heart as if it was
already there,” says Tim Kamp, professor of regenerative biology, who builds heart patches at the
University of Wisconsin.
One of the challenges in coming years is to ensure that the new patch electrically integrates with the heart
so that both beat in synchrony. Scientists hope that because the patch will be so similar to the existing
heart muscle, natural bodily processes will take over.
“We anticipate this will happen, but we have to make sure and be really cautious,” Kamp says. “The heart
isn’t a USB socket which we can just plug things into. For patients with severe heart failure, the whole
heart dilates to try to adapt to the damage. It changes shape from being like a football to a big basketball.
But we hope these patches will be able to heal a much larger area of damage than single cell injections.
And if multiple patches are required to replace multiple areas of scarring, we can put those in. This
technology may really provide a whole avenue of hope for people with these conditions who badly need
new treatments.”
Q.17
What is the assumption behind making heart transplants in dogs?
3 Dogs are the only animals which are almost like humans.
4 Human body/ body parts tend to react in the same way like that of a dog.
Solution:
Bookmark
Correct Answer : 4
This is an easy question. The answer is located in the 1st paragraph of the
Answer key/Solution
passage.
Refer to- "At the time, cardiac transplant surgery was barely a decade old,
pioneered by a handful of individuals who had developed a radical method of switching a heart from one
body to another – but all previous transplants had been done in dogs."
Since all the the transplants had been done in dogs to understand the working of a human heart, we can
easily assume that Human body/ body parts tend to react in the same way like that of a dog.
Out of the given options only 4 portray this. If we negate this statement, The argument falls apart.
FeedBack
Directions for questions (13 to 18): The passage below is accompanied by a set of six questions. Choose
the best answer to each question.
At the time, cardiac transplant surgery was barely a decade old, pioneered by a handful of individuals who
had developed a radical method of switching a heart from one body to another – but all previous
transplants had been done in dogs. As they worked to stitch the new organ into Washkansky’s body and
then shock it into life, Barnard and his team were improvising, guided only by a few dozen animal studies,
the suggestions of scienti c papers and their own instinct. But at 6.13am, after almost four hours of
surgery, Washkansky’s transplanted heart started to stir. As Barnard would write: “Little by little it began to
roll with the lovely rhythm of life.”
It would prove to be a de ning moment in the history of medical science. While Washkansky himself would
die of pneumonia just 18 days later, his body weakened by intensive antirejection treatment, his case
paved the way for hundreds of heart transplants in the following years. Now, 50 years on from Barnard’s
achievement, 4,000 heart transplants are performed around the world each year. But while some patients
live for decades, complications persist due to the need for constant immunosuppressant treatment,
meaning the survival rate after 12 years is still just 50%. In addition, while studies in the US have found
that more than 20,000 Americans could bene t from a heart transplant each year, just 2,000 transplants
are performed there due to a shortage of donors.
But many scientists believe we are on the verge of a new medical revolution. Advances in regenerative
medicine will allow us to repair damaged hearts instead of replacing them. In all mammals, it’s almost
impossible for a damaged heart to repair itself. Within minutes of being deprived of oxygen due to a
blocked artery, the heart’s muscle cells start to die. If surgeons are able to tackle the blockage within one
hour, the damage can be reversed. If 12 hours have passed, up to 1bn heart cells may already be lost,
replaced only by tough, rigid scar tissue.
“The problem is that the regenerative power of the heart is lower than other organs,” says Dr Tim Henry,
director of cardiology at the Cedars-Sinai Medical Center in Los Angeles. “If you lose half your liver, it will
grow back. Your skin heals completely very quickly. But for people whose heart failure isn’t treated in time,
or who have already had one heart attack, there’s permanent, signi cant damage which leaves them
requiring a transplant.”
Over the past 15 years, scientists have experimented with taking stem cells from the blood or bone
marrow and injecting them into badly damaged hearts. This typically works well in improving blood ow to
the heart, helping patients who have bad blockages in their arteries. But despite numerous attempts, these
individual stem cells have been unable to grow back much of the lost heart muscle. The body’s immune
responses are so hostile to new cells implanted into the heart that even when the patient’s own tissue is
used, 90% of the cells still die.
“The stem cell approach has shown some bene t, but it’s been relatively short-lived,” says Prof Richard
Farndale of the University of Cambridge. “What generally happens is that the stem cells fail to attach to the
heart and are lost into the bloodstream fairly quickly.”
However, a new approach appears to hold a lot more promise. Scientists are growing “heart patches”, tiny
beating pieces of heart muscle, in small dishes in the lab. They are made by taking a drop of blood from a
patient and engineering the blood cells into a layer of fully formed cardiac tissue. This is genetically
matched to that person, and can be engrafted into the heart to replace damaged areas. This has been
tested in mice and will soon be tested in pigs. In the next ve years, scientists hope to launch a clinical
trial to apply the patches in humans. At a cost of about £70,000 a patient, it promises to be a far more
economically viable alternative to heart transplants, which, with the huge surgical teams required, cost the
NHS up to £500,000.
“The hope is that by providing a patch of tissue which already beats and contracts, instead of just
individual cells, the body’s built-in programming will take over and assimilate it into the heart as if it was
already there,” says Tim Kamp, professor of regenerative biology, who builds heart patches at the
University of Wisconsin.
One of the challenges in coming years is to ensure that the new patch electrically integrates with the heart
so that both beat in synchrony. Scientists hope that because the patch will be so similar to the existing
heart muscle, natural bodily processes will take over.
“We anticipate this will happen, but we have to make sure and be really cautious,” Kamp says. “The heart
isn’t a USB socket which we can just plug things into. For patients with severe heart failure, the whole
heart dilates to try to adapt to the damage. It changes shape from being like a football to a big basketball.
But we hope these patches will be able to heal a much larger area of damage than single cell injections.
And if multiple patches are required to replace multiple areas of scarring, we can put those in. This
technology may really provide a whole avenue of hope for people with these conditions who badly need
new treatments.”
Q.18
According to the passage why would it “prove to be a de ning moment in the history”?
Directions for questions (19 to 21): The passage below is accompanied by a set of three questions.
Choose the best answer to each question.
Long gone are the days of a predictable world in which you could take your time to make decisions,
manage an organization from the top, or get away with mediocre products and services.
In my work on business model innovation with large, global companies, I am constantly confronted with
this. In the face of a changing competitive environment, companies are forced to take action. Smart and
energetic executives generate amazingly innovative business models that have the potential to produce
future growth, but then the organization is incapable of making things happen. More senior or more
established executives get the company to fall back on their historic business model and old ways of
working, which made them successful originally. In the short term, this might offer the comfort of a known
model, less risk, and maybe even short-term gains. In the longer term, this often represents the roots of a
decline into irrelevance or an increased risk of disruption by more nimble and often totally new
competitors with innovative business models.
What I have come to realize is that without organizational and management innovation, business model
innovation and adaptation to today’s fast-changing world rarely happens. To make it happen, we need to
build new spaces for experimentation and learning. We need new organizational principles and platforms
for autonomous teams to succeed. We need new incentive systems and institutional cultures to get
employees motivated again. The core elements that you need to take into account when designing the
connected company are: transparent interaction and communication platforms, organizational structures
favoring autonomy and adaptation, a culture of experimentation and learning, and a new governance and
reward system encouraging new behavior and holding it all together. In short, companies need
management innovation.
Q.19
The central point of the 3rd paragraph is that organisations are:
1 changing according to the fast changing world and innovating with it.
2 aware of the fast changing world and keeping pace with it.
3 are changing and innovating but are unable to manage customer expectations.
4 changing and innovating but are slow in altering the managerial style.
Solution:
Bookmark
Correct Answer : 4
This is a moderate level question. The question stem here is very speci c as it
Answer key/Solution
asks the readers to scan only the 3rd paragraph.
Long gone are the days of a predictable world in which you could take your time to make decisions,
manage an organization from the top, or get away with mediocre products and services.
In my work on business model innovation with large, global companies, I am constantly confronted with
this. In the face of a changing competitive environment, companies are forced to take action. Smart and
energetic executives generate amazingly innovative business models that have the potential to produce
future growth, but then the organization is incapable of making things happen. More senior or more
established executives get the company to fall back on their historic business model and old ways of
working, which made them successful originally. In the short term, this might offer the comfort of a known
model, less risk, and maybe even short-term gains. In the longer term, this often represents the roots of a
decline into irrelevance or an increased risk of disruption by more nimble and often totally new
competitors with innovative business models.
What I have come to realize is that without organizational and management innovation, business model
innovation and adaptation to today’s fast-changing world rarely happens. To make it happen, we need to
build new spaces for experimentation and learning. We need new organizational principles and platforms
for autonomous teams to succeed. We need new incentive systems and institutional cultures to get
employees motivated again. The core elements that you need to take into account when designing the
connected company are: transparent interaction and communication platforms, organizational structures
favoring autonomy and adaptation, a culture of experimentation and learning, and a new governance and
reward system encouraging new behavior and holding it all together. In short, companies need
management innovation.
Q.20
Organisations fail to implement the ideas of sprightly executives because:
1 there are very few precedents of management innovation and business model innovation.
2 of the reluctance of the senior executives of persisting with the tried and tested methods.
3 these ideas are often brought in by the new and inexperienced individuals.
4 in the era of mind-boggling speed of commerce, exploding computing power, and ever-sinking
communication costs the companies want to play it safe.
Solution:
Bookmark
Correct Answer : 2
This is a moderate level, fact based question.
Answer key/Solution
Directions for questions (19 to 21): The passage below is accompanied by a set of three questions.
Choose the best answer to each question.
Long gone are the days of a predictable world in which you could take your time to make decisions,
manage an organization from the top, or get away with mediocre products and services.
In my work on business model innovation with large, global companies, I am constantly confronted with
this. In the face of a changing competitive environment, companies are forced to take action. Smart and
energetic executives generate amazingly innovative business models that have the potential to produce
future growth, but then the organization is incapable of making things happen. More senior or more
established executives get the company to fall back on their historic business model and old ways of
working, which made them successful originally. In the short term, this might offer the comfort of a known
model, less risk, and maybe even short-term gains. In the longer term, this often represents the roots of a
decline into irrelevance or an increased risk of disruption by more nimble and often totally new
competitors with innovative business models.
What I have come to realize is that without organizational and management innovation, business model
innovation and adaptation to today’s fast-changing world rarely happens. To make it happen, we need to
build new spaces for experimentation and learning. We need new organizational principles and platforms
for autonomous teams to succeed. We need new incentive systems and institutional cultures to get
employees motivated again. The core elements that you need to take into account when designing the
connected company are: transparent interaction and communication platforms, organizational structures
favoring autonomy and adaptation, a culture of experimentation and learning, and a new governance and
reward system encouraging new behavior and holding it all together. In short, companies need
management innovation.
Q.21
The author mentions all of the following as ways to help organisations adapt to today’s fast changing world
EXCEPT:
1 letting go of the executives who cling on to the old ways of doing business.
Solution:
Bookmark
Correct Answer : 1
This is an easy question to answer. The answer is present in the concluding
Answer key/Solution
paragraph of the given passage.
The concept of beauty has been a complex topic since antiquity, and this is especially true when tracing
the cultural trajectory of our relationship with beauty. Western and Eastern artists tend for instance to use
different perspectives to represent the visual world, both in the geometric and in a metaphorical sense.
Viewers from different cultures and social groups may have distinct aesthetic experiences to the same
visual displays. Cultural differences might explain why beauty is attributed to some things, but not to
others. Aesthetic processing can only be understood, if it is also seen as being embedded in cultural
contexts and being modulated by social conditions.
Unlike Western painters who since the Renaissance tried to create an exact view of a visual environment,
Chinese painters never developed a notion of space as a measurable geometrical entity by developing
mathematical rules to organize space and create precise spatial relations. Instead, the Chinese outlook
emphasizes a dynamic structure for human relations with the environment, even with the universe,
independent of exact physical representations or the proper imitation of objects. Pictorial perspectives
employed in Western and Chinese paintings are, thus, fundamentally different. Western painters tried to
create an exact view of what they see (or what they believe to see); the geometric perspective was
developed to create the illusion of three-dimensionality by means of a single-point or convergent
perspective. It should, however, be pointed out that the central perspective in Western art is already an
abstraction, and it is not at all a geometrically correct representation of what we see. Mechanisms of size
constancy recalibrate the projection of visual stimuli on the retina at the cortical level, and thus distort
what is mathematically de ned. This neural operation in the early visual pathway serves the purpose to
maintain the identity of the perceived object. Thus, the different trajectories of abstraction in the Eastern
and Western cultural environments have created unique conceptual frames.
Chinese painters have employed speci c ways of emphasizing spatial information compared to Western
painters. Besides a typical arrangement of spatial information in a vertical manner (i.e., far objects appear
in the upper part while close objects appear in the lower part of a scroll painting), a most common means
of suggesting distance was perhaps the use of a perspective, where parallel diagonal lines strike off from
the plane of the picture. The distinctive characteristics of parallel projections is that lines parallel in fact
are also parallel in the drawing. The angles of these obliques are coherent throughout the plane. Moreover,
Western artists are inclined to capture a speci c moment in a visual scene and x the physical position of
the viewer. In contrast, when looking at a Chinese landscape painting, there is no distinct point to guide
viewers. The Chinese outlook has a dynamic quality that integrates successive time windows, and
encompasses a panoramic view of the visual scene, which can be perhaps associated with a oating view.
Q.22
According to the author, what has been the driving cause of the complexities behind the understanding of
beauty?
1 The use of varied techniques to replicate the visual world on paper throughout different regions of the
world and different understandings of metaphors.
2 The recalibration of the projection of visual stimuli on the retina due to the different geographical
conditions across the globe.
3 The intertwining of cultural in uences and the visual perception of the world.
4 The difference in the neural operations in the brains of people living in different parts of the world.
Solution:
Bookmark
Correct Answer : 3
This is a moderate level question.
Answer key/Solution
Option 1 is rather a direct consequence of unique perceptions of beauty.
Options 2 comment on biological and anatomical makeup of humans, which
has not been the point of focus of the passage.
Option 3 effectively states the author’s opinion. Refer to -"Cultural differences might explain why beauty is
attributed to some things, but not to others. Aesthetic processing can only be understood, if it is also seen
as being embedded in cultural contexts and being modulated by social conditions."
Option 4 also states an anatomical view point like option 2.
FeedBack
Directions for questions (22 to 24): The passage below is accompanied by a set of three questions.
Choose the best answer to each question.
The concept of beauty has been a complex topic since antiquity, and this is especially true when tracing
the cultural trajectory of our relationship with beauty. Western and Eastern artists tend for instance to use
different perspectives to represent the visual world, both in the geometric and in a metaphorical sense.
Viewers from different cultures and social groups may have distinct aesthetic experiences to the same
visual displays. Cultural differences might explain why beauty is attributed to some things, but not to
others. Aesthetic processing can only be understood, if it is also seen as being embedded in cultural
contexts and being modulated by social conditions.
Unlike Western painters who since the Renaissance tried to create an exact view of a visual environment,
Chinese painters never developed a notion of space as a measurable geometrical entity by developing
mathematical rules to organize space and create precise spatial relations. Instead, the Chinese outlook
emphasizes a dynamic structure for human relations with the environment, even with the universe,
independent of exact physical representations or the proper imitation of objects. Pictorial perspectives
employed in Western and Chinese paintings are, thus, fundamentally different. Western painters tried to
create an exact view of what they see (or what they believe to see); the geometric perspective was
developed to create the illusion of three-dimensionality by means of a single-point or convergent
perspective. It should, however, be pointed out that the central perspective in Western art is already an
abstraction, and it is not at all a geometrically correct representation of what we see. Mechanisms of size
constancy recalibrate the projection of visual stimuli on the retina at the cortical level, and thus distort
what is mathematically de ned. This neural operation in the early visual pathway serves the purpose to
maintain the identity of the perceived object. Thus, the different trajectories of abstraction in the Eastern
and Western cultural environments have created unique conceptual frames.
Chinese painters have employed speci c ways of emphasizing spatial information compared to Western
painters. Besides a typical arrangement of spatial information in a vertical manner (i.e., far objects appear
in the upper part while close objects appear in the lower part of a scroll painting), a most common means
of suggesting distance was perhaps the use of a perspective, where parallel diagonal lines strike off from
the plane of the picture. The distinctive characteristics of parallel projections is that lines parallel in fact
are also parallel in the drawing. The angles of these obliques are coherent throughout the plane. Moreover,
Western artists are inclined to capture a speci c moment in a visual scene and x the physical position of
the viewer. In contrast, when looking at a Chinese landscape painting, there is no distinct point to guide
viewers. The Chinese outlook has a dynamic quality that integrates successive time windows, and
encompasses a panoramic view of the visual scene, which can be perhaps associated with a oating view.
Q.23
What can be concluded about the Western world by reading the passage?
1 The western world had a better understanding of mathematical and geometrical concepts.
2 Western art focused on manipulating space and misleading the viewer to believe in presence of depth.
3 Western people were driven by realism and tried recreating the world on paper exactly as it looked.
4 Westerners had an instantaneous approach to experiences and thus their art encapsulated messages
in representation of speci c moments.
Solution:
Bookmark
Correct Answer : 4
This is a moderate level question.
Answer key/Solution
The concept of beauty has been a complex topic since antiquity, and this is especially true when tracing
the cultural trajectory of our relationship with beauty. Western and Eastern artists tend for instance to use
different perspectives to represent the visual world, both in the geometric and in a metaphorical sense.
Viewers from different cultures and social groups may have distinct aesthetic experiences to the same
visual displays. Cultural differences might explain why beauty is attributed to some things, but not to
others. Aesthetic processing can only be understood, if it is also seen as being embedded in cultural
contexts and being modulated by social conditions.
Unlike Western painters who since the Renaissance tried to create an exact view of a visual environment,
Chinese painters never developed a notion of space as a measurable geometrical entity by developing
mathematical rules to organize space and create precise spatial relations. Instead, the Chinese outlook
emphasizes a dynamic structure for human relations with the environment, even with the universe,
independent of exact physical representations or the proper imitation of objects. Pictorial perspectives
employed in Western and Chinese paintings are, thus, fundamentally different. Western painters tried to
create an exact view of what they see (or what they believe to see); the geometric perspective was
developed to create the illusion of three-dimensionality by means of a single-point or convergent
perspective. It should, however, be pointed out that the central perspective in Western art is already an
abstraction, and it is not at all a geometrically correct representation of what we see. Mechanisms of size
constancy recalibrate the projection of visual stimuli on the retina at the cortical level, and thus distort
what is mathematically de ned. This neural operation in the early visual pathway serves the purpose to
maintain the identity of the perceived object. Thus, the different trajectories of abstraction in the Eastern
and Western cultural environments have created unique conceptual frames.
Chinese painters have employed speci c ways of emphasizing spatial information compared to Western
painters. Besides a typical arrangement of spatial information in a vertical manner (i.e., far objects appear
in the upper part while close objects appear in the lower part of a scroll painting), a most common means
of suggesting distance was perhaps the use of a perspective, where parallel diagonal lines strike off from
the plane of the picture. The distinctive characteristics of parallel projections is that lines parallel in fact
are also parallel in the drawing. The angles of these obliques are coherent throughout the plane. Moreover,
Western artists are inclined to capture a speci c moment in a visual scene and x the physical position of
the viewer. In contrast, when looking at a Chinese landscape painting, there is no distinct point to guide
viewers. The Chinese outlook has a dynamic quality that integrates successive time windows, and
encompasses a panoramic view of the visual scene, which can be perhaps associated with a oating view.
Q.24
Why does the author believe that cultural and societal differences lead to distinct aesthetic experiences to
the same visual displays?
2 It is evident in the different conceptual frames created in the West and the East.
Directions for question 25: The passage given below is followed by four summaries. Choose the option
that best captures the author’s position.
Q.25
Elon Musk, the billionaire founder of the electric car company Tesla, has won approval for a new pay deal
that could land him a $55.8bn (£40bn) bonus, smashing all compensation records. Tesla’s shareholders
voted to approve Musk’s pay deal at a meeting in Fremont, California, despite warnings from corporate
governance experts who have called the package “staggering”. They have also questioned why someone
whose wealth is already tied to Tesla’s fortunes needs more shares. In order to trigger the maximum
payout, Musk, 46, would have to build Tesla into a $650bn company over the next 10 years – making it one
of the world’s most valuable tech companies. The company is currently valued at $54.6bn.
1. Elon Musk's new pay deal has been approved and defended by Tesla's stake holders as it's contingent
upon a major increase in the company's value.
2. Elon Musk's new pay deal has been approved by Tesla's stake holders but its release vests purely over
meeting a benchmark.
3. Elon Musk's new pay deal has been approved by Tesla's stake holders, however corporate governance
experts are skeptical about the same.
4. Elon Musk's new pay deal has been approved by Tesla's stake holders, however he won't receive the
compensation if the company doesn't perform well.
Solution:
Bookmark
Correct Answer : 2
Option 1 is incorrect as it states 'major increase in the company's value'. To
Answer key/Solution
what is the increase compared, is unclear. Moreover, the paragraph doesn't
suggest if the stake holders defended that or not. Hence it doesn't capture the
essence of the paragraph. Option 3 is incorrect since it captures only one
aspect of the paragraph, and ignores the other important part. Option 4 is incorrect as it doesn't mention
the reason for the company not performing well. The company's performance is based on Musk's meeting
certain benchmarks. This is clearly mentioned in 2. Also, 4 is more of an inference, and not a summary.
FeedBack
Directions for question 26: The passage given below is followed by four summaries. Choose the option
that best captures the author’s position.
Q.26
It is necessary that we bring up our children religiously and intellectually, so that we may present them
worthy of their vocation, vocation to up bring the next generation. It is necessary that reverent education
and educated religion exist side by side, for these two things are the only sure provisions for travelling in
this life, provisions that are able to help a man in manifold ways. A one-sided upbringing is reprehensible
and leads to the following two unseemly things: either to superstition or to contempt for the things of God.
A plight such as these is the natural consequence and direct result of the kind of education that has been
given.
1. Children should be acquainted with both religion and education simultaneously, without sacri cing
anyone of the two.
2. In order to not call upon unseemly things like superstition or the contempt of God, acquaintance with
both religion and education is important.
3. To acquaint children with the responsibility of bringing up the next generation, they should be brought
up both religiously and intellectually, for the lack of one can either lead to superstition or contempt for
things of God.
4. Children should be brought up both religiously and intellectually so as to acquaint them with the
responsibility of bringing up the next generation, without having to compromise either of the former
aspect.
Solution:
Bookmark
Correct Answer : 3
Options 1 and 4 are incorrect as they do not specify the reason for not
Answer key/Solution
compromising any of those components. Option 2 is distorted as it doesn’t
capture the main idea – the ideology to be imparted to children. Option 3
alone sums up the entire paragraph.
FeedBack
Directions for question 27: The passage given below is followed by four summaries. Choose the option
that best captures the author’s position.
Q.27
The idea of race took on the patina of a scienti c enterprise primarily in the early to mid-1800s, as part of
what is largely known as the European Enlightenment. Scientists at that time, particularly in biology and
botany, were earnest in classifying the diversity of life on Earth, and part of this classi cation included the
human species. Perhaps because of ethnocentrism, the classi cation of human beings included a rank
ordering with Europeans at the top of the scale and Africans at the bottom.
1. Delving into the past of racism enlightens us about the fact that classi cation of human beings took
place in the period of European Enlightenment and lead to the creation of rank ordering, where in the
Europeans were at the top and Africans at the bottom.
2. Started during the period of European Enlightenment, racism took its birth as an act of classi cation
practiced by the scientists who were interested in studying the diversity of life on Earth and ranked
Europeans at the top and Africans at the bottom.
3. Racism took its birth during the period of European Enlightenment, as an act of diversi cation practiced
by the scientists, who ranked Europeans at the top and Africans at the bottom.
4. Ethnocentrism, a part of diversi cation practiced by the scientists during European Enlightenment, lead
to the birth of racism, in which Europeans were ranked at the top, while the Africans at the bottom.
Solution:
Bookmark
Correct Answer : 4
Option 1 is incorrect as it is not a summary but one's personal understanding
Answer key/Solution
of the above paragraph. Options 2 and 3 are incorrect as they do not talk
about ethnocentrism. Option 4 alone sums up the entire paragraph.
FeedBack
Directions for question 28: The ve sentences (labelled 1, 2, 3, 4, 5) given in this question, when properly
sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the proper
order for the sentences and key in this sequence of ve numbers as your answer.
Q.28
1. The real meaning of the universal human rights is that everyone is entitled to the same human rights
and to equal human dignity.
2. No one can be denied their human rights because they are different from others, whether by sex, race or
ethnicity, work or descent, caste, culture, religion, skin colour or other grounds.
3. One of the great successes of the past century has been the popularity of the idea of universal human
rights.
4. The struggle to ensure equality of treatment for everyone is thus at the centre of all efforts to promote
the universal protection of human rights.
5. But the full meaning of human rights is often not fully understood, namely equal human rights: not just
rights for me and people ‘like me’, but for each and every one of us, whether you are like me or not.
Solution:
Bookmark
Correct Answer : 35124
3 and 5 create a mandatory pair as 3 states that popularity of universal human
Answer key/Solution
rights has been the greatest successes of last century while 5 presents a
contradiction stating that its meaning is not understood fully. 5 and 1 also
create a mandatory pair as 1 explains what the real meaning is. 2 is an
extension of 1. 4 is a concluding statement- presence of 'thus' being a hint.
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Directions for question 29: The ve sentences (labelled 1, 2, 3, 4, 5) given in this question, when properly
sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the proper
order for the sentences and key in this sequence of ve numbers as your answer.
Q.29
1. Hirevue’s agship product, used by global giants such as Unilever and Goldman Sachs, asks candidates
to answer standard interview questions in front of a camera.
2. The program turns this data into a score, which is then compared against one the program has already
“learned” from top-performing employees.
3. Mondragon is the head psychologist at Hirevue, a company that offers software that screens job
candidates using algorithms and arti cial intelligence.
4. Meanwhile its software, like a team of hawk-eyed psychologists hiding behind a mirror, makes note of
thousands of barely perceptible changes in posture, facial expression, vocal tone and word choice.
5. According to Nathan Mondragon, nding the right employee is all about looking at the little things.
Solution:
Bookmark
Correct Answer : 53142
The correct sequence is 53142. This question can be solved by forming pairs.
Answer key/Solution
Statement 5 and 3 form a mandatory pair as 5 provides us the name of Nathan
Mondragon and 3 tells us who he is. 5 introduces the topic of discussion-
nding the right employee by looking at small things and 3 elaborates on the
same. 3 and 1 form a mandatory pair as Hirevue's software is referred to as it's ' agship product'. 4 follows
1 as 1 talks about candidates answering the questions, while 4 talks about noting the facial expressions
while the candidates answer those questions. 2 concludes the paragraph as it talks about calculation of
scores and comparison of that with those of already existing good employees.
FeedBack
Directions for question 30: The ve sentences (labelled 1, 2, 3, 4, 5) given in this question, when properly
sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the proper
order for the sentences and key in this sequence of ve numbers as your answer.
Q.30
1. ‘Parenting’ may be de ned as purposive activities aimed at ensuring the survival and development of
children.
2. The connotation of the word is that parenting is a positive, nurturing activity.
3. Thus, parenting is an activity that normally involves the children, parents and other family members in
lifelong interaction.
4. The word ‘parenting’, from its root, is more concerned with the activity of developing and educating than
who does it.
5. It derives from the Latin verb ‘parere’- ‘to bring forth, develop or educate’.
Solution:
Bookmark
Correct Answer : 15423
The correct sequence is 15423. 1 opens the paragraph as it introduces
Answer key/Solution
'parenting'. 1, 5 and 4 form a mandatory pair- 1 introduces the word, 5 talks
about its origin from the root word, 4 talks about the word's connection with
its root. 2 will come after 4 as it is a summation of all the preceding sentences
and calls. parenting as 'positive'. 3 is clearly the concluding sentence.
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Directions for question 31: The ve sentences (labelled 1, 2, 3, 4, 5) given in this question, when properly
sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the proper
order for the sentences and key in this sequence of ve numbers as your answer.
Q.31
1. Though some supervisors may speci cally ask for your opinion, others may assume if there is
something important they need to know, you will bring it to their attention.
2. Further others may believe that if there is something you are unsure about, you will ask.
3. If an employee and a supervisor learn to communicate well (in whatever method that works), there is a
greater likelihood of job retention and promotion.
4. One of the challenges in the workplace is learning the speci c communication styles of others and how
and when to share your ideas or concerns.
5. Knowing how to listen carefully and when to ask for help is important.
Solution:
Bookmark
Correct Answer : 41253
The correct sequence is 41253. Sentence 4 opens the paragraph as it
Answer key/Solution
introduces the topic- challenge of communication style in workplace. 1 and 2
form a mandatory pair as 'some supervisors, 'others' and 'further others' form
a proper sequence. Next, 5 and 3 create a mandatory pair. Though 5 appears
to be the opening sentence, it is not, because if 5 and 3 appear in the beginning, they will not leave space
for other sentences to appear as 3 is more of a concluding statement as it states the key to 'retention' and
'promotion'.
FeedBack
Directions for question 32: Five sentences related to a topic are given below. Four of them can be put
together to form a meaningful and coherent short paragraph. Identify the odd one out.
Q.32
1. But making a world championship nal has elevated him to a new rung of the UK Sport funding ladder,
as an athlete with Olympic podium potential.
2. That means more security, and more freedom to train harder and smarter, aiming for that podium nish.
3. Prescott had won the Best New Olympian award at the Sports Journalists’ Association sports awards,
following in the footsteps of Wayne Rooney and Lewis Hamilton.
4. Support from Nike and others had already allowed him to train full-time.
5. He is now working on his start before next summer’s European championships in Glasgow.
Solution:
Bookmark
Correct Answer : 3
3 says Prescott ‘had’ won the Best Olympian Award, which implies that he had
Answer key/Solution
participated in the Olympics in the past. However, sentence 1 calls him a
player with Olympic podium potential and uses the present tense. Also,
sentence 2 and 5 are in the present tense, so they t with 1. 2 also talks about
the potential to win a medal. 3 is the odd one out. The sequence of the paragraph is 4125.
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Directions for question 33: Five sentences related to a topic are given below. Four of them can be put
together to form a meaningful and coherent short paragraph. Identify the odd one out.
Q.33
1. Prof Michael Norton, Easac’s environmental programme director, said that greenhouse gas emissions
were “fundamentally responsible for driving these changes”.
2. Global oods and extreme rainfall events have surged by more than 50% this decade, and are now
occurring at a rate four times higher than in 1980, according to a new report.
3. The paper, based partly on gures compiled by the German insurance company Munich Re, also shows
that climate-related loss and damage events have risen by 92% since 2010.
4. Some studies say this could lower land temperatures in the UK, Greenland, Iceland and Scandinavia by
up to 9C.
5. Other extreme climatological events such as storms, droughts and heatwaves have increased by more
than a third this decade and are being recorded twice as frequently as in 1980, the paper by the European
Academies’ Science Advisory Council (Easac) says.
Solution:
Bookmark
Correct Answer : 4
The correct sequence is 2531. 2 and 5 form a mandatory pair, as 2 talks only
Answer key/Solution
about the immense increase in oods and rainfall, and 5 talks about the
increase in other 'climatological' events like storms and droughts. 2 and 3 also
form a mandatory pair, as both refer to 'the paper' by EASAC. Statement 1
follows next as it gives a possible reason for the 'changes'- that is the increase in the number of
'climatological events'. Statement 4 may appear somewhere later in the paragraph, but here it fails to
connect with any of the given statements. There is no sentence which gives a reason for lowering land
temperatures in the places mentioned. The paragraph employs a negative tone by highlighting some ill-
effects of climate change. Sentence 4 talks about something which might be positive.
FeedBack
Directions for question 34: Five sentences related to a topic are given below. Four of them can be put
together to form a meaningful and coherent short paragraph. Identify the odd one out.
Q.34
1. Globalization is connecting people and their standards of living, while inequalities within and between
countries are growing.
2. There are, therefore, major objections to merely updating any historical benchmark of poverty on the
basis of some index of prices.
3. Over many years the “relativity” of meanings of poverty has come to be recognized, in part if not
comprehensively.
4. Adam Smith, for example, recognized the ways in which “necessities” were de ned by custom in the
early part of the 19th century, citing the labourer’s need to wear a shirt as an example.
5. This will lend itself to scienti c observation, measurement and analysis of multiple deprivations.
Solution:
Bookmark
Correct Answer : 5
The correct sequence is 1234. 1 is the opening sentence as it talks about
Answer key/Solution
Globalization along with existing inequalities. 2 is an explanation of 1. 3
follows 2 as 'benchmark of poverty' in 2 is mentioned as 'relativity of
meanings' in 3. 4 provides an example to it. 5 is the odd sentence out as it
uses different tense from the rest of the sentences. Secondly, there is no precedent for “this will lend
itself” in the paragraph. It is quite vague.
FeedBack
Sec 2
Directions for questions 35 to 38: Answer the questions on the basis of the information given below.
DMRC runs metro trains between every two stations among the 4 stations - Anand, Botanical, Chandni and
Dwarka. These trains can have 4, 6 or 8 coaches, and the fare between any two stations is Rs.20, Rs.30,
Rs.40 or Rs.50. All trains between any particular pair of stations have same number of coaches and also
same fare. Some additional information is also known.
I. From both the stations, Anand as well as Dwarka, trains having 4, 6 and 8 coaches run, whereas from
Botanical station trains having only 4 coaches run.
II. Trains from the station Anand to all other stations have different fares. The same holds true for station
Chandni and Dwarka.
III. No two routes with trains having 6 coaches have same fares. Similarly, no two routes with trains having
8 coaches have same fares.
IV. Total fare for the three different routes from Chandni and Botanical is Rs. 90 and Rs. 100 respectively.
V. The fare from Botanical station to Dwarka station is more than that from Anand station to Botanical
station.
Q.35
If the fare from Anand to Chandni is Rs. 30, then what is the fare (in Rs.) from Chandni to Dwarka?
Solution:
Bookmark
Correct Answer : 20
• As from Botanical station trains having only 4 coaches run, from both Anand
Answer key/Solution
and Dwarka trains with 4 coaches run to Botanical. Also between Botanical
and Chandni trains of 4 coaches run.
• If the trains running between Anand and Dwarka are of 6 coaches then the
trains running between Anand and Chandni, and between Dwarka and Chandni must be of 8 coaches
because Anand and Dwarka both have trains of 4, 6 and 8 coaches running. The previous statement is also
valid, if we interchange 8 and 6.
• Using statement IV, the sum of the fares of trains running from Chandni to the other three stations is 90.
As the trains running from Chandni are of 4, 8 and 8 or 4, 6 and 6 coaches, possible fares are 90 = 30 + 30
+ 30 OR 20 + 30 + 40. But as it is given that no two routes with 6 or 8 coaches have same fare, the fares
must be 20, 30 and 40.
• Similarly, the sum of fares from Botanical is 100 i.e. 20 + 30 + 50 OR 20 + 40 + 40 OR 30 + 30 + 40. So,
the possible fares and coaches for the four stations can be tabulated as below. Here, A, B, C and D
represents Anand, Botanical, Chandni and Dwarka stations respectively.
As we can see from the above table, when A-C is 30 the fare from C-D is 20.
FeedBack
Directions for questions 35 to 38: Answer the questions on the basis of the information given below.
DMRC runs metro trains between every two stations among the 4 stations - Anand, Botanical, Chandni and
Dwarka. These trains can have 4, 6 or 8 coaches, and the fare between any two stations is Rs.20, Rs.30,
Rs.40 or Rs.50. All trains between any particular pair of stations have same number of coaches and also
same fare. Some additional information is also known.
I. From both the stations, Anand as well as Dwarka, trains having 4, 6 and 8 coaches run, whereas from
Botanical station trains having only 4 coaches run.
II. Trains from the station Anand to all other stations have different fares. The same holds true for station
Chandni and Dwarka.
III. No two routes with trains having 6 coaches have same fares. Similarly, no two routes with trains having
8 coaches have same fares.
IV. Total fare for the three different routes from Chandni and Botanical is Rs. 90 and Rs. 100 respectively.
V. The fare from Botanical station to Dwarka station is more than that from Anand station to Botanical
station.
Q.36
What can be the least possible fare (in Rs.) from Anand to Dwarka if one goes via Chandni?
Solution:
Bookmark
Correct Answer : 50
• As from Botanical station trains having only 4 coaches run, from both Anand
Answer key/Solution
and Dwarka trains with 4 coaches run to Botanical. Also between Botanical
and Chandni trains of 4 coaches run.
• If the trains running between Anand and Dwarka are of 6 coaches then the
trains running between Anand and Chandni, and between Dwarka and Chandni must be of 8 coaches
because Anand and Dwarka both have trains of 4, 6 and 8 coaches running. The previous statement is also
valid, if we interchange 8 and 6.
• Using statement IV, the sum of the fares of trains running from Chandni to the other three stations is 90.
As the trains running from Chandni are of 4, 8 and 8 or 4, 6 and 6 coaches, possible fares are 90 = 30 + 30
+ 30 OR 20 + 30 + 40. But as it is given that no two routes with 6 or 8 coaches have same fare, the fares
must be 20, 30 and 40.
• Similarly, the sum of fares from Botanical is 100 i.e. 20 + 30 + 50 OR 20 + 40 + 40 OR 30 + 30 + 40. So,
the possible fares and coaches for the four stations can be tabulated as below. Here, A, B, C and D
represents Anand, Botanical, Chandni and Dwarka stations respectively.
All possible fare from A to D via Chandni are 30+20, 40+20, 40+30. So, 50 is the least possible value.
FeedBack
Directions for questions 35 to 38: Answer the questions on the basis of the information given below.
DMRC runs metro trains between every two stations among the 4 stations - Anand, Botanical, Chandni and
Dwarka. These trains can have 4, 6 or 8 coaches, and the fare between any two stations is Rs.20, Rs.30,
Rs.40 or Rs.50. All trains between any particular pair of stations have same number of coaches and also
same fare. Some additional information is also known.
I. From both the stations, Anand as well as Dwarka, trains having 4, 6 and 8 coaches run, whereas from
Botanical station trains having only 4 coaches run.
II. Trains from the station Anand to all other stations have different fares. The same holds true for station
Chandni and Dwarka.
III. No two routes with trains having 6 coaches have same fares. Similarly, no two routes with trains having
8 coaches have same fares.
IV. Total fare for the three different routes from Chandni and Botanical is Rs. 90 and Rs. 100 respectively.
V. The fare from Botanical station to Dwarka station is more than that from Anand station to Botanical
station.
Q.37
Which of the following cannot be the fare of a 8 coach train?
1 20
2 30
3 40
4 None of these
Solution:
Bookmark
Correct Answer : 4
• As from Botanical station trains having only 4 coaches run, from both Anand
Answer key/Solution
and Dwarka trains with 4 coaches run to Botanical. Also between Botanical
and Chandni trains of 4 coaches run.
• If the trains running between Anand and Dwarka are of 6 coaches then the
trains running between Anand and Chandni, and between Dwarka and Chandni must be of 8 coaches
because Anand and Dwarka both have trains of 4, 6 and 8 coaches running. The previous statement is also
valid, if we interchange 8 and 6.
• Using statement IV, the sum of the fares of trains running from Chandni to the other three stations is 90.
As the trains running from Chandni are of 4, 8 and 8 or 4, 6 and 6 coaches, possible fares are 90 = 30 + 30
+ 30 OR 20 + 30 + 40. But as it is given that no two routes with 6 or 8 coaches have same fare, the fares
must be 20, 30 and 40.
• Similarly, the sum of fares from Botanical is 100 i.e. 20 + 30 + 50 OR 20 + 40 + 40 OR 30 + 30 + 40. So,
the possible fares and coaches for the four stations can be tabulated as below. Here, A, B, C and D
represents Anand, Botanical, Chandni and Dwarka stations respectively.
It can be seen from the above table that all the four possible fare amounts given are valid for a 8 coach
train in one case or another.
FeedBack
Directions for questions 35 to 38: Answer the questions on the basis of the information given below.
DMRC runs metro trains between every two stations among the 4 stations - Anand, Botanical, Chandni and
Dwarka. These trains can have 4, 6 or 8 coaches, and the fare between any two stations is Rs.20, Rs.30,
Rs.40 or Rs.50. All trains between any particular pair of stations have same number of coaches and also
same fare. Some additional information is also known.
I. From both the stations, Anand as well as Dwarka, trains having 4, 6 and 8 coaches run, whereas from
Botanical station trains having only 4 coaches run.
II. Trains from the station Anand to all other stations have different fares. The same holds true for station
Chandni and Dwarka.
III. No two routes with trains having 6 coaches have same fares. Similarly, no two routes with trains having
8 coaches have same fares.
IV. Total fare for the three different routes from Chandni and Botanical is Rs. 90 and Rs. 100 respectively.
V. The fare from Botanical station to Dwarka station is more than that from Anand station to Botanical
station.
Q.38
If the fare of a 4 coach train is more than the fare of all 6 or 8 coach trains, then what is the least possible
value for the total fare of all 6 or 8 coach trains taken together?
1 140
2 90
3 100
4 None of these
Solution:
Bookmark
Correct Answer : 2
• As from Botanical station trains having only 4 coaches run, from both Anand
Answer key/Solution
and Dwarka trains with 4 coaches run to Botanical. Also between Botanical
and Chandni trains of 4 coaches run.
• If the trains running between Anand and Dwarka are of 6 coaches then the
trains running between Anand and Chandni, and between Dwarka and Chandni must be of 8 coaches
because Anand and Dwarka both have trains of 4, 6 and 8 coaches running. The previous statement is also
valid, if we interchange 8 and 6.
• Using statement IV, the sum of the fares of trains running from Chandni to the other three stations is 90.
As the trains running from Chandni are of 4, 8 and 8 or 4, 6 and 6 coaches, possible fares are 90 = 30 + 30
+ 30 OR 20 + 30 + 40. But as it is given that no two routes with 6 or 8 coaches have same fare, the fares
must be 20, 30 and 40.
• Similarly, the sum of fares from Botanical is 100 i.e. 20 + 30 + 50 OR 20 + 40 + 40 OR 30 + 30 + 40. So,
the possible fares and coaches for the four stations can be tabulated as below. Here, A, B, C and D
represents Anand, Botanical, Chandni and Dwarka stations respectively.
Maximum fare of a 4-coach train is 50. In both the cases, required total fare of all 6 or 8 coach trains is 40
+ 30 + 20 =90.
FeedBack
Directions for questions 39 to 42: Answer the questions on the basis of the information given below.
XYZ institute scheduled two seminars, one each on “How to become an entrepreneur” and “Good business
sense”. The auditorium, they had chosen for the seminar, has sitting available only for 323 people with that
many chairs only arranged in the form of grid having dimension 19 × 17. So the rst 323 registered
students only are allowed to attend the seminars. Each student was given a different registration number
from 1 to 323 at the time of registration. Also, it was mandatory for everyone to attend both the seminars
and the same registration number is valid for both.
• Rows are numbered as row 1, row 2,..., row 19, and columns are numbered as column 1, column 2,...,
column 17.
• For “ How to become an entrepreneur”, students were asked to sit according to their registration number
in row-wise manner. For example, student with registration number 1 sits on the seat in row 1 and column
1; student with registration number 2 sits on the seat in row 1 and column 2; and so on. Then student with
registration number 18 sits on the seat in row 2 and column 1; student with registration number 19 sits on
the seat in row 2 and column 2; and so on. And hence followed the same pattern till all the students got
their seats.
• For “Good business sense”, students were asked to sit according to their registration number in column-
wise manner. For example, student with registration number 1 sits on the seat in column 1 and row 1;
student with registration number 2 sits on the seat in column 1 and row 2; and so on till registration
number 19. Then student with registration number 20 sits on the seat in column 2 and row 1; the student
with registration number 21 sits on the seat in column 2 and row 2; and so on. And hence followed the
same pattern till all the students got their seats.
Q.39
How many students got to sit on the same place in both the seminars?
1 17
2 19
3 2
4 3
Solution:
Bookmark
Correct Answer : 4
Sitting arrangement of students during the seminar titled as “How to become
Answer key/Solution
an entrepreneur” is as given below, where number mentioned in any cell is the
registration number of the student sitting on that seat.
If we observe the above table, we can see every row has consecutive numbers starting from 17 × (row - 1).
So, the general term for the above table can be written as Cij = 17(i – 1) + j, where Cij represents the seat
in ith row and jth column.
Similarly, sitting arrangement of students during the seminar titled as “Good business sense” is as given
below
So, the general term for the above table can be written as Cij = 19(j – 1) + i
The student having same Cij value for both the seminars, got to sit on the same place,
i.e., 17(i – 1) + j = 19(j – 1) + i
19j – 19 + i = 17i – 17 + j
18j – 16i = 2
9j – 8i = 1
Only possible positive integer solutions of the above equations are (1,1), (10,9) and (19,17).
Therefore, 3 students got to sit on same place.
FeedBack
Directions for questions 39 to 42: Answer the questions on the basis of the information given below.
XYZ institute scheduled two seminars, one each on “How to become an entrepreneur” and “Good business
sense”. The auditorium, they had chosen for the seminar, has sitting available only for 323 people with that
many chairs only arranged in the form of grid having dimension 19 × 17. So the rst 323 registered
students only are allowed to attend the seminars. Each student was given a different registration number
from 1 to 323 at the time of registration. Also, it was mandatory for everyone to attend both the seminars
and the same registration number is valid for both.
• Rows are numbered as row 1, row 2,..., row 19, and columns are numbered as column 1, column 2,...,
column 17.
• For “ How to become an entrepreneur”, students were asked to sit according to their registration number
in row-wise manner. For example, student with registration number 1 sits on the seat in row 1 and column
1; student with registration number 2 sits on the seat in row 1 and column 2; and so on. Then student with
registration number 18 sits on the seat in row 2 and column 1; student with registration number 19 sits on
the seat in row 2 and column 2; and so on. And hence followed the same pattern till all the students got
their seats.
• For “Good business sense”, students were asked to sit according to their registration number in column-
wise manner. For example, student with registration number 1 sits on the seat in column 1 and row 1;
student with registration number 2 sits on the seat in column 1 and row 2; and so on till registration
number 19. Then student with registration number 20 sits on the seat in column 2 and row 1; the student
with registration number 21 sits on the seat in column 2 and row 2; and so on. And hence followed the
same pattern till all the students got their seats.
Q.40
If a student got seat in row 11 and column 12 in the seminar "How to become an enterpreneur", and in row
'n' and column 'm' in the seminar "Good business sense", then nd the value of (m+n).
1 20
2 23
3 22
4 21
Solution:
Bookmark
Correct Answer : 4
Sitting arrangement of students during the seminar titled as “How to become
Answer key/Solution
an entrepreneur” is as given below, where number mentioned in any cell is the
registration number of the student sitting on that seat.
If we observe the above table, we can see every row has consecutive numbers starting from 17 × (row - 1).
So, the general term for the above table can be written as Cij = 17(i – 1) + j, where Cij represents the seat
in ith row and jth column.
Similarly, sitting arrangement of students during the seminar titled as “Good business sense” is as given
below
So, the general term for the above table can be written as Cij = 19(j – 1) + i
As the student sat in row 11 and column 12, i = 11 and j = 12.
So, registration number of the student = Cij = 17(11 – 1) + 12 =182
So this student in the other seminar will sit on
182 = 19(m – 1) + n
192 = 19m + n – 19
i.e., 19m + n = 201
As 1 ≤ n ≤ 19 and 1 ≤ m ≤ 17, the only possible solution for the above equation is n = 11, m = 10.
Therefore, n + m = 21
FeedBack
Directions for questions 39 to 42: Answer the questions on the basis of the information given below.
XYZ institute scheduled two seminars, one each on “How to become an entrepreneur” and “Good business
sense”. The auditorium, they had chosen for the seminar, has sitting available only for 323 people with that
many chairs only arranged in the form of grid having dimension 19 × 17. So the rst 323 registered
students only are allowed to attend the seminars. Each student was given a different registration number
from 1 to 323 at the time of registration. Also, it was mandatory for everyone to attend both the seminars
and the same registration number is valid for both.
• Rows are numbered as row 1, row 2,..., row 19, and columns are numbered as column 1, column 2,...,
column 17.
• For “ How to become an entrepreneur”, students were asked to sit according to their registration number
in row-wise manner. For example, student with registration number 1 sits on the seat in row 1 and column
1; student with registration number 2 sits on the seat in row 1 and column 2; and so on. Then student with
registration number 18 sits on the seat in row 2 and column 1; student with registration number 19 sits on
the seat in row 2 and column 2; and so on. And hence followed the same pattern till all the students got
their seats.
• For “Good business sense”, students were asked to sit according to their registration number in column-
wise manner. For example, student with registration number 1 sits on the seat in column 1 and row 1;
student with registration number 2 sits on the seat in column 1 and row 2; and so on till registration
number 19. Then student with registration number 20 sits on the seat in column 2 and row 1; the student
with registration number 21 sits on the seat in column 2 and row 2; and so on. And hence followed the
same pattern till all the students got their seats.
Q.41
If the grid was of dimension 13 × 11 and hence only 143 students were given registration numbers, then
how many of them got the chance to sit on the same place in both the seminars?
1 11
2 13
3 2
4 3
Solution:
Bookmark
Correct Answer : 4
Sitting arrangement of students during the seminar titled as “How to become
Answer key/Solution
an entrepreneur” is as given below, where number mentioned in any cell is the
registration number of the student sitting on that seat.
If we observe the above table, we can see every row has consecutive numbers starting from 17 × (row - 1).
So, the general term for the above table can be written as Cij = 17(i – 1) + j, where Cij represents the seat
in ith row and jth column.
Similarly, sitting arrangement of students during the seminar titled as “Good business sense” is as given
below
So, the general term for the above table can be written as Cij = 19(j – 1) + i
If grid is of dimension 13 × 11, then the two general term become, 11(i – 1)+j and 13(j – 1) + i.
So, 11(i – 1) + j = 13(j – 1) + i
11i – 11 + j = 13j – 13 + i
10i – 12j = –2
5i – 6j = –1
Only possible solutions are (1,1), (7,6), (13,11).
Therefore, 3 students got to sit on same place.
FeedBack
Directions for questions 39 to 42: Answer the questions on the basis of the information given below.
XYZ institute scheduled two seminars, one each on “How to become an entrepreneur” and “Good business
sense”. The auditorium, they had chosen for the seminar, has sitting available only for 323 people with that
many chairs only arranged in the form of grid having dimension 19 × 17. So the rst 323 registered
students only are allowed to attend the seminars. Each student was given a different registration number
from 1 to 323 at the time of registration. Also, it was mandatory for everyone to attend both the seminars
and the same registration number is valid for both.
• Rows are numbered as row 1, row 2,..., row 19, and columns are numbered as column 1, column 2,...,
column 17.
• For “ How to become an entrepreneur”, students were asked to sit according to their registration number
in row-wise manner. For example, student with registration number 1 sits on the seat in row 1 and column
1; student with registration number 2 sits on the seat in row 1 and column 2; and so on. Then student with
registration number 18 sits on the seat in row 2 and column 1; student with registration number 19 sits on
the seat in row 2 and column 2; and so on. And hence followed the same pattern till all the students got
their seats.
• For “Good business sense”, students were asked to sit according to their registration number in column-
wise manner. For example, student with registration number 1 sits on the seat in column 1 and row 1;
student with registration number 2 sits on the seat in column 1 and row 2; and so on till registration
number 19. Then student with registration number 20 sits on the seat in column 2 and row 1; the student
with registration number 21 sits on the seat in column 2 and row 2; and so on. And hence followed the
same pattern till all the students got their seats.
Q.42
Registration number with which a student got a chance to sit on the same place in both the seminars is
called as magic number. How many magic numbers are common in grid of size 19 × 17 and 13 × 11?
1 1
2 2
3 3
4 Cannot be determined
Solution:
Bookmark
Correct Answer : 1
Sitting arrangement of students during the seminar titled as “How to become
Answer key/Solution
an entrepreneur” is as given below, where number mentioned in any cell is the
registration number of the student sitting on that seat.
If we observe the above table, we can see every row has consecutive numbers starting from 17 × (row - 1).
So, the general term for the above table can be written as Cij = 17(i – 1) + j, where Cij represents the seat
in ith row and jth column.
Similarly, sitting arrangement of students during the seminar titled as “Good business sense” is as given
below
So, the general term for the above table can be written as Cij = 19(j – 1) + i
In the grid of dimension 19 × 17, the magic numbers are 1, 162 and 323.
In 11 × 13 grid, magic numbers are 1, 67, 133.
So, common magic number is only 1.
FeedBack
Directions for questions 43 to 46: Answer the questions on the basis of the information given below.
Sanjeev has an ATM card, which has a 4-letter Personal Identi cation Number (PIN). All the 4 letters in the
PIN are different and taken from the 26 letters of english alphabet. While withdrawing money using the
card from the ATM machine, Sanjeev must enter that 4-letter PIN correctly.
• In case, the PIN entered by Sanjeev has all 4 letters same as of the original PIN but not in the right order
OR has 3 letters correct also at right places but one wrong letter, the machine ash the message “Please
try again” on the screen.
• In case, the PIN entered by Sanjeev is having 3 letters as of the original PIN and one wrong letter, the
machine ash the message “Don’t try smart” on the screen.
Q.43
Sanjeev forgot his ATM card’s PIN completely and hence started putting letters intelligently to get the
correct PIN in minimum number of trials. What is the maximum number of trials he might have to put in to
take out the money if in his rst trial he received a message “Please try again”?
Solution:
Bookmark
Correct Answer : 27
If the message received is “Please try again” this means either all 4
Answer key/Solution
characters are right but the order is wrong or 3 letters are right and at right
place but there is 1 wrong letter.
Sanjeev will change the position of any two letters and again put in the PIN. If
it still shows “Please try again” it means all 4 letters are correct but not in right order. There are a total of
24 PIN’s that can be formed with these 4 letters so 24 attempts. If it shows “Don’t try smart” it means 3
letters of the original PIN were in right place and 1 was wrong. Try the PIN one by one every time changing
one of the letters to know which letter is wrong. Let us say rst three attempts gives wrong PIN this means
4th place letter is wrong. As the PIN has all distinct letters, the 4th place can have 22 possibilities. So it will
take a total of 25 attempts plus one attempt as in previous case.
Including the initial attempt, a total of 27 attempts will ensure that Sanjeev can withdraw money from
ATM.
FeedBack
Directions for questions 43 to 46: Answer the questions on the basis of the information given below.
Sanjeev has an ATM card, which has a 4-letter Personal Identi cation Number (PIN). All the 4 letters in the
PIN are different and taken from the 26 letters of english alphabet. While withdrawing money using the
card from the ATM machine, Sanjeev must enter that 4-letter PIN correctly.
• In case, the PIN entered by Sanjeev has all 4 letters same as of the original PIN but not in the right order
OR has 3 letters correct also at right places but one wrong letter, the machine ash the message “Please
try again” on the screen.
• In case, the PIN entered by Sanjeev is having 3 letters as of the original PIN and one wrong letter, the
machine ash the message “Don’t try smart” on the screen.
Q.44
Sanjeev puts in a random PIN and gets a message “Please try again”. If he knows all 4 letters are not
correct, then what is the minimum number of trials (including the one put initially) after which he will be
sure to take out the money?
Solution:
Bookmark
Correct Answer : 26
If the message received is “Please try again” this means either all 4
Answer key/Solution
characters are right but the order is wrong or 3 letters are right and at right
place but there is 1 wrong letter.
Sanjeev will change the position of any two letters and again put in the PIN. If
it still shows “Please try again” it means all 4 letters are correct but not in right order. There are a total of
24 PIN’s that can be formed with these 4 letters so 24 attempts. If it shows “Don’t try smart” it means 3
letters of the original PIN were in right place and 1 was wrong. Try the PIN one by one every time changing
one of the letters to know which letter is wrong. Let us say rst three attempts gives wrong PIN this means
4th place letter is wrong. As the PIN has all distinct letters, the 4th place can have 22 possibilities. So it will
take a total of 25 attempts plus one attempt as in previous case.
As discussed in the previous question, the total number of trials is 26 (subtracting the one in which letters
were interchanged).
FeedBack
Directions for questions 43 to 46: Answer the questions on the basis of the information given below.
Sanjeev has an ATM card, which has a 4-letter Personal Identi cation Number (PIN). All the 4 letters in the
PIN are different and taken from the 26 letters of english alphabet. While withdrawing money using the
card from the ATM machine, Sanjeev must enter that 4-letter PIN correctly.
• In case, the PIN entered by Sanjeev has all 4 letters same as of the original PIN but not in the right order
OR has 3 letters correct also at right places but one wrong letter, the machine ash the message “Please
try again” on the screen.
• In case, the PIN entered by Sanjeev is having 3 letters as of the original PIN and one wrong letter, the
machine ash the message “Don’t try smart” on the screen.
Q.45
Sanjeev puts in a random PIN and gets a message “Don’t try smart”. What is the minimum number of trials
after this after which he will be sure to have put in the right PIN?
Solution:
Bookmark
Correct Answer : 48
If the message received is “Please try again” this means either all 4
Answer key/Solution
characters are right but the order is wrong or 3 letters are right and at right
place but there is 1 wrong letter.
Sanjeev will change the position of any two letters and again put in the PIN. If
it still shows “Please try again” it means all 4 letters are correct but not in right order. There are a total of
24 PIN’s that can be formed with these 4 letters so 24 attempts. If it shows “Don’t try smart” it means 3
letters of the original PIN were in right place and 1 was wrong. Try the PIN one by one every time changing
one of the letters to know which letter is wrong. Let us say rst three attempts gives wrong PIN this means
4th place letter is wrong. As the PIN has all distinct letters, the 4th place can have 22 possibilities. So it will
take a total of 25 attempts plus one attempt as in previous case.
Since, the message that ashed is “don’t try smart’, therefore, 3 of the letters are right and one is wrong.
By putting different combinations of these letters we will get 3 right letters at right places and 1 wrong
place. A total of 24 combinations can be there. A maximum of 23 combinations will ensure one wrong
letter and the right position of 3 other letters. By changing each letter one by one and trying the PIN we get
to know which letter is wrong in 3 more trials. Now 22 more possibilities can exist to get the wrong letter
right. So, in total 48 trials are needed.
FeedBack
Directions for questions 43 to 46: Answer the questions on the basis of the information given below.
Sanjeev has an ATM card, which has a 4-letter Personal Identi cation Number (PIN). All the 4 letters in the
PIN are different and taken from the 26 letters of english alphabet. While withdrawing money using the
card from the ATM machine, Sanjeev must enter that 4-letter PIN correctly.
• In case, the PIN entered by Sanjeev has all 4 letters same as of the original PIN but not in the right order
OR has 3 letters correct also at right places but one wrong letter, the machine ash the message “Please
try again” on the screen.
• In case, the PIN entered by Sanjeev is having 3 letters as of the original PIN and one wrong letter, the
machine ash the message “Don’t try smart” on the screen.
Q.46
Sanjeev puts in a random PIN and gets a message “Don’t try smart”. What is the minimum number of trials
after this after which he will be sure to get the message “Please try again”?
Solution:
Bookmark
Correct Answer : 23
If the message received is “Please try again” this means either all 4
Answer key/Solution
characters are right but the order is wrong or 3 letters are right and at right
place but there is 1 wrong letter.
Sanjeev will change the position of any two letters and again put in the PIN. If
it still shows “Please try again” it means all 4 letters are correct but not in right order. There are a total of
24 PIN’s that can be formed with these 4 letters so 24 attempts. If it shows “Don’t try smart” it means 3
letters of the original PIN were in right place and 1 was wrong. Try the PIN one by one every time changing
one of the letters to know which letter is wrong. Let us say rst three attempts gives wrong PIN this means
4th place letter is wrong. As the PIN has all distinct letters, the 4th place can have 22 possibilities. So it will
take a total of 25 attempts plus one attempt as in previous case.
A message of “Don’t try smart” means 3 of the letters are correct and 1 letter is wrong. There are 24
possible combinations of these 4 letters. One of them will have 3 right letters at right places and one
wrong letter. Hence, after the initial attempt, 23 more attempts are needed to receive this message.
FeedBack
Directions for questions 47 to 50: Answer the questions on the basis of the information given below.
In a township called “Eldo County”, there are eight houses numbered from 2001 to 2008 . These houses
are numbered in such a way that each house must share its boundary with at least one such house which
has its house number consecutive to its number.
For example, house number 2003 must share its boundary with at least one of the houses having number
2002 or 2004. The gure given below provides the basic blueprint of the location of 8 houses, with the
exact places of house number 2001 and 2008, and the remaining 6 houses in the disguised name as A, B,
C, D, E and F.
Q.47
If houses C and E are numbered consecutively with C being the smaller number, then in how many ways
can all the houses be numbered?
1 3
2 2
3 4
4 1
Solution:
Bookmark
Correct Answer : 2
House A must be numbered 2002, as it is the only consecutive number to
Answer key/Solution
2001. Now house C and E can be numbered in four ways as 2003 and 2004,
2004 and 2005, 2005 and 2006 OR 2006 and 2007
Case I: C and E are numbered as 2003 and 2004.
This is not possible as in this case house B cannot be numbered.
Case II: C and E are numbered as 2004 and 2005.
B must be numbered 2003, D must be numbered 2007 and F must be numbered 2006.
Case III: C and E are numbered as 2005 and 2006.
B must be numbered 2003, D must be numbered 2007 and then F must be numbered as 2004.
Case IV: C and E are numbered 2006 and 2007.
B must be numbered 2005 but D and F cannot be numbered.
Hence, only case I and case III is possible.
FeedBack
Directions for questions 47 to 50: Answer the questions on the basis of the information given below.
In a township called “Eldo County”, there are eight houses numbered from 2001 to 2008 . These houses
are numbered in such a way that each house must share its boundary with at least one such house which
has its house number consecutive to its number.
For example, house number 2003 must share its boundary with at least one of the houses having number
2002 or 2004. The gure given below provides the basic blueprint of the location of 8 houses, with the
exact places of house number 2001 and 2008, and the remaining 6 houses in the disguised name as A, B,
C, D, E and F.
Q.48
If house D is numbered as 2007, then in how many possible ways can the other houses be numbered?
Solution:
Bookmark
Correct Answer : 13
D is numbered 2007 and A must be numbered 2002. Now B, C, E and F are
Answer key/Solution
numbered 2003, 2004, 2005 and 2006.
Case I: House B is numbered 2003.
The other three are adjacent to each other and also consecutive, so they can
be numbered in any of the 6 ways.
Case II: House C is numbered 2003.
B must be numbered 2004 and E and F can be numbered 2005 and 2006 in any order. So, 2 ways.
Case III: House E is numbered 2003.
Either C or F must be numbered 2004. Also if C is 2004, neither B nor F can be 2006 so only 2 ways.
Case IV: House F is numbered 2003.
Either C or E must be numbered 2004. Also if C is 2004, B cannot be 2006 so only 3 ways.
Hence, possible ways are (6 + 2 + 2 + 3) = 13.
FeedBack
Directions for questions 47 to 50: Answer the questions on the basis of the information given below.
In a township called “Eldo County”, there are eight houses numbered from 2001 to 2008 . These houses
are numbered in such a way that each house must share its boundary with at least one such house which
has its house number consecutive to its number.
For example, house number 2003 must share its boundary with at least one of the houses having number
2002 or 2004. The gure given below provides the basic blueprint of the location of 8 houses, with the
exact places of house number 2001 and 2008, and the remaining 6 houses in the disguised name as A, B,
C, D, E and F.
Q.49
If the house numbers of A and C differ by 4, then in how many ways can the houses be numbered?
1 2
2 3
3 4
4 1
Solution:
Bookmark
Correct Answer : 3
As A is de nitely numbered 2002, C must be numbered 2006.
Answer key/Solution
Now house B can be numbered 2003 or 2005 but not 2007 as 2007 must be
adjacent to 2008. If house B is numbered 2003, D should be numbered 2007
and E and F must be numbered 2004 and 2005, in any order. So, 2 ways.
Also, if house B is numbered 2005, D should be numbered 2007 and E and F must be numbered 2003 and
2004 in any order. So, 2 ways.
Hence, total 4 ways are there.
FeedBack
Directions for questions 47 to 50: Answer the questions on the basis of the information given below.
In a township called “Eldo County”, there are eight houses numbered from 2001 to 2008 . These houses
are numbered in such a way that each house must share its boundary with at least one such house which
has its house number consecutive to its number.
For example, house number 2003 must share its boundary with at least one of the houses having number
2002 or 2004. The gure given below provides the basic blueprint of the location of 8 houses, with the
exact places of house number 2001 and 2008, and the remaining 6 houses in the disguised name as A, B,
C, D, E and F.
Q.50
What is the absolute difference between the maximum and the minimum possible number of house F?
Solution:
Bookmark
Correct Answer : 3
As house A is numbered as 2002 and house F cannot be numbered as 2007,
Answer key/Solution
the difference between maximum and minimum value of house F’s number is
3 i.e. 2006 – 2003.
FeedBack
Direction for questions 51 to 54: Answer the questions on the basis of the information given below.
A chemical scientist wanted to design a machine to do the mixes and then deliver him a required
byproduct. So, he designed a machine, which delivers the required chemical byproduct at the destination
point while started from the source in accurate quantities, the outlay of which is as shown below.
• All circular gures represent concentrators namely A, B, C, D and E. Each concentrator increases the
concentration of the mixture, which passes through it, by 10 percentage points.
• All rectangular gures represent mixers namely 1 and 2. Each mixer reduces the concentration of the
mixture, which passes through it, by 5 percentage points. Every mixer has one inlet and two outlets.
• When there are two inlets the concentration taken, upon which the change in concentration point is
carried out by the mixer or concentrator, will be the average of the two inlet’s concentrations.
• When there are two outlets, the output concentration is the same in each of them as it would be with just
one outlet.
• The byproduct obtained from destination will be the average of the outlet concentrations of concentrator
D and E.
• The ow of the machine is from left to right unless stated otherwise.
Q.51
If a mixture named ‘Cad B’ enters the machine from the source point with 30% concentration, what will be
the concentration of the byproduct available at the destination?
1 91.25%
2 77.5%
3 62.5%
4 48.75%
Solution:
Bookmark
Correct Answer : 4
The mixture enters from the source with 30% concentration.
Answer key/Solution
At mixer 1, it’s concentration will be reduced to 25%.
At concentrators A and B the output concentration will be 35%.
The output of A will reach C and D with 35% concentration each, while the
output of B will reach C with 35% concentration.
At C, the two inputs will be averaged (35+35)/2 = 35 and the concentrator will increase the concentration
to 45%.
This output will then go to the mixer 2, and its concentration will be reduced to 40% which will be taken to
concentrators D and E.
Also, D receives the 35% output of A, So output of D will be = (35 + 40)/2 + 10 = 37.5 + 10 = 47.5.
At E, the output of mixer 2, will be increased in concentration by 10% points giving a resultant
concentration of 50%.
At destination we have two inputs, one of 47.5% and one of 50%. Therefore, their average will be = (47.5 +
50)/2 = 97.5/2 = 48.75, which is the concentration of the byproduct.
FeedBack
Direction for questions 51 to 54: Answer the questions on the basis of the information given below.
A chemical scientist wanted to design a machine to do the mixes and then deliver him a required
byproduct. So, he designed a machine, which delivers the required chemical byproduct at the destination
point while started from the source in accurate quantities, the outlay of which is as shown below.
• All circular gures represent concentrators namely A, B, C, D and E. Each concentrator increases the
concentration of the mixture, which passes through it, by 10 percentage points.
• All rectangular gures represent mixers namely 1 and 2. Each mixer reduces the concentration of the
mixture, which passes through it, by 5 percentage points. Every mixer has one inlet and two outlets.
• When there are two inlets the concentration taken, upon which the change in concentration point is
carried out by the mixer or concentrator, will be the average of the two inlet’s concentrations.
• When there are two outlets, the output concentration is the same in each of them as it would be with just
one outlet.
• The byproduct obtained from destination will be the average of the outlet concentrations of concentrator
D and E.
• The ow of the machine is from left to right unless stated otherwise.
Q.52
If the function of mixers and concentrators was interchanged, what would be the concentration of the
byproduct available at the destination from a mixture ‘Cad B’ which entered the source with 40%
concentration?
1 43.75%
2 33.75%
3 44.25%
4 32.5%
Solution:
Bookmark
Correct Answer : 1
The mixture enters from the source with 40% concentration.
Answer key/Solution
At mixer 1, it’s concentration will be increased to 50%.
At concentrators A and B the output concentration will be 45%.
The output of A will reach C and D with 45% concentration each, while the
output of B will reach C with 45% concentration.
At C, the two inputs will be averaged (45+45)/2 = 45 and the concentrator will decrease the concentration
to 40%.
This output will then go to the mixer 2, and its concentration will be increased to 50% which will be taken to
concentrators D and E.
Also D receives the 45% output of A, So output of D will be = (45 + 50)/2 –5 = 47.5-5 = 42.5
At E, the output of mixer 2, will be decreased in concentration by 5% points giving a resultant
concentration of 45%.
At destination we have two inputs, one of 42.5% and one of 45%.
Therefore, the average will be = (42.5 + 45)/2 = 87.5/2 = 43.75.
FeedBack
Direction for questions 51 to 54: Answer the questions on the basis of the information given below.
A chemical scientist wanted to design a machine to do the mixes and then deliver him a required
byproduct. So, he designed a machine, which delivers the required chemical byproduct at the destination
point while started from the source in accurate quantities, the outlay of which is as shown below.
• All circular gures represent concentrators namely A, B, C, D and E. Each concentrator increases the
concentration of the mixture, which passes through it, by 10 percentage points.
• All rectangular gures represent mixers namely 1 and 2. Each mixer reduces the concentration of the
mixture, which passes through it, by 5 percentage points. Every mixer has one inlet and two outlets.
• When there are two inlets the concentration taken, upon which the change in concentration point is
carried out by the mixer or concentrator, will be the average of the two inlet’s concentrations.
• When there are two outlets, the output concentration is the same in each of them as it would be with just
one outlet.
• The byproduct obtained from destination will be the average of the outlet concentrations of concentrator
D and E.
• The ow of the machine is from left to right unless stated otherwise.
Q.53
With what concentration should a mixture named ‘Cad B’ enters the source so as to have a byproduct of
concentration 50% delivered at the destination?
1 20.75%
2 28.25%
3 31.25%
4 36.75%
Solution:
Bookmark
Correct Answer : 3
Let ‘X’% be the concentration of the mixture that enters the source.
Answer key/Solution
At mixer 1, the concentration will be reduced to (X – 5)%.
At concentrators A and B the output concentration will be (X + 5)%.
The output of A will reach C and D with (X + 5)% concentration each, while the
output of B will reach C with (X + 5)% concentration.
At C, the two inputs will be averaged (X + 5 + X + 5)/2 = X + 5 and the concentrator will increase the
concentration to (X + 15)%.
This output will then go to the mixer 2, and its concentration will be reduced to X+10% which will be taken
to concentrators D and E.
Also D receives the (X + 5)% output of A. So, output of D will be: = (X + 5 + X + 10)/2 + 10 = X + 7.5 + 10 = X
+ 17.5
At E, the output of mixer 2, will be increased in concentration by 10% giving a resultant concentration of (X
+ 20)%.
At destination we have two inputs one of (X + 17.5)% and one of (X + 20)%.
Their average will be = (X + 17.5 + X + 20)/2 = (2X + 37.5)/2 = (X + 18.75)%.
But this concentration is given to be equal to 50, hence X + 18.75 = 50 i.e, X = 31.25%.
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Direction for questions 51 to 54: Answer the questions on the basis of the information given below.
A chemical scientist wanted to design a machine to do the mixes and then deliver him a required
byproduct. So, he designed a machine, which delivers the required chemical byproduct at the destination
point while started from the source in accurate quantities, the outlay of which is as shown below.
• All circular gures represent concentrators namely A, B, C, D and E. Each concentrator increases the
concentration of the mixture, which passes through it, by 10 percentage points.
• All rectangular gures represent mixers namely 1 and 2. Each mixer reduces the concentration of the
mixture, which passes through it, by 5 percentage points. Every mixer has one inlet and two outlets.
• When there are two inlets the concentration taken, upon which the change in concentration point is
carried out by the mixer or concentrator, will be the average of the two inlet’s concentrations. • When there
are two outlets, the output concentration is the same in each of them as it would be with just one outlet.
• The byproduct obtained from destination will be the average of the outlet concentrations of concentrator
D and E.
• The ow of the machine is from left to right unless stated otherwise.
Q.54
Designer tries to improve his design and hence make the following two amendments,
(i) Each concentrator increases the concentration of the mixture, which passes through it, by 10 percent.
(ii) Each mixer reduces the concentration of the mixture, which passes through it, by 5 percent.
If the designer passes ‘Cad X’, having concentration 50%, once with the original machine and once with the
improved version, then what is the approximate difference between the percentage points of the two
outputs at destination?
1 9.3%
2 12.3%
3 8%
4 10.8%
Solution:
Bookmark
Correct Answer : 1
Answer key/Solution
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Directions for questions 55 to 58: Answer the questions on the basis of the information given below.
A cricket match was played between India and Australia on 24th May 2018. Only ten players – Virat, Rohit,
Shikhar, Hardik, Dinesh, David, Glenn, Chris, Aaron and Steve – taken together from both the teams got a
chance to bat and therefore scored – 73, 53, 59, 43, 37, 31, 23, 19, 17 and 11– runs in the match, not
necessarily in the given order. Out of these ten players – Virat, Rohit, Shikhar, Hardik and Dinesh are from
Indian team, while the remaining ve are from Australian team. No other run was scored by any other
batsmen or by any other means i.e, wide ball, no ball etc. Further, it is known that:
(i) Rohit made a half century but was not the highest scorer among the ten batsmen.
(ii) The highest scorer with 73 runs was not from the Australian team.
(iii) Virat scored more runs than that of scored by any Australian batsman.
(iv) The match ended in a tie i.e., both teams had scored the equal number of total runs.
Q.55
If the least run scoring batsman was neither Steve nor Shikhar, then the lowest score could belong to
which of the following batsman?
1 Aaron
2 Chris
3 Dinesh
Solution:
Bookmark
Correct Answer : 3
Answer key/Solution
Since lowest score i.e, 11 belongs to an Indian batsman, so it could be Dinesh only out of the given
options.
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Directions for questions 55 to 58: Answer the questions on the basis of the information given below.
A cricket match was played between India and Australia on 24th May 2018. Only ten players – Virat, Rohit,
Shikhar, Hardik, Dinesh, David, Glenn, Chris, Aaron and Steve – taken together from both the teams got a
chance to bat and therefore scored – 73, 53, 59, 43, 37, 31, 23, 19, 17 and 11– runs in the match, not
necessarily in the given order. Out of these ten players – Virat, Rohit, Shikhar, Hardik and Dinesh are from
Indian team, while the remaining ve are from Australian team. No other run was scored by any other
batsmen or by any other means i.e, wide ball, no ball etc. Further, it is known that:
(i) Rohit made a half century but was not the highest scorer among the ten batsmen.
(ii) The highest scorer with 73 runs was not from the Australian team.
(iii) Virat scored more runs than that of scored by any Australian batsman.
(iv) The match ended in a tie i.e., both teams had scored the equal number of total runs.
Q.56
Which of the following is the maximum runs scored by an Australian batsman?
1 43
2 59
3 53
4 Cannot be determined
Solution:
Bookmark
Correct Answer : 3
Answer key/Solution
A cricket match was played between India and Australia on 24th May 2018. Only ten players – Virat, Rohit,
Shikhar, Hardik, Dinesh, David, Glenn, Chris, Aaron and Steve – taken together from both the teams got a
chance to bat and therefore scored – 73, 53, 59, 43, 37, 31, 23, 19, 17 and 11– runs in the match, not
necessarily in the given order. Out of these ten players – Virat, Rohit, Shikhar, Hardik and Dinesh are from
Indian team, while the remaining ve are from Australian team. No other run was scored by any other
batsmen or by any other means i.e, wide ball, no ball etc. Further, it is known that:
(i) Rohit made a half century but was not the highest scorer among the ten batsmen.
(ii) The highest scorer with 73 runs was not from the Australian team.
(iii) Virat scored more runs than that of scored by any Australian batsman.
(iv) The match ended in a tie i.e., both teams had scored the equal number of total runs.
Q.57
If ‘X’ be the maximum possible difference between the runs scored by an Indian batsman and the runs
scored by an Australian batsman, and ‘Y’ be the minimum possible such difference, then the value of |X-Y|
is
1 46
2 52
3 40
4 None of these
Solution:
Bookmark
Correct Answer : 2
Answer key/Solution
X = maximum difference between run of any two batsmen of the two teams = 73 - 19
Y = minimum difference between run of any two batsmen of the two teams = 19 - 17
Therefore, value of |X – Y| = |(73 – 19) – (19 – 17)| = 52
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Directions for questions 55 to 58: Answer the questions on the basis of the information given below.
A cricket match was played between India and Australia on 24th May 2018. Only ten players – Virat, Rohit,
Shikhar, Hardik, Dinesh, David, Glenn, Chris, Aaron and Steve – taken together from both the teams got a
chance to bat and therefore scored – 73, 53, 59, 43, 37, 31, 23, 19, 17 and 11– runs in the match, not
necessarily in the given order. Out of these ten players – Virat, Rohit, Shikhar, Hardik and Dinesh are from
Indian team, while the remaining ve are from Australian team. No other run was scored by any other
batsmen or by any other means i.e, wide ball, no ball etc. Further, it is known that:
(i) Rohit made a half century but was not the highest scorer among the ten batsmen.
(ii) The highest scorer with 73 runs was not from the Australian team.
(iii) Virat scored more runs than that of scored by any Australian batsman.
(iv) The match ended in a tie i.e., both teams had scored the equal number of total runs.
Q.58
Which of the following can be a possible sum of scores of Shikhar and Steve?
1 96
2 42
3 37
4 40
Solution:
Bookmark
Correct Answer : 2
Answer key/Solution
Possible sum of scores of Shikhar and Steve could be (23 + 19) = 42 runs.
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Direction for questions 59 to 62: Answer the questions on the basis of the information given below.
Shows based on seven cartoon characters – Flintstones, Tom, Scooby Doo, Popeye, Richie Rich, Jerry and
Yogi Bear – are telecast in a week on seven different days – Sunday, Monday, Tuesday, Wednesday,
Thursday, Friday and Saturday - not necessarily in the same order. Each of these characters eats one food
out of the seven different foods – honey, cactus, radish, carrot, bread, biscuit and cheese - in any order.
Sunday being the day 1 and Saturday being the day 7 of the week.
Q.59
Which cartoon character eats cheese?
1 Popeye
2 Yogi Bear
3 Scooby Doo
4 Flintstones
Solution:
Bookmark
Correct Answer : 2
Using the data given in the question, we can form the following table:
Answer key/Solution
Shows based on seven cartoon characters – Flintstones, Tom, Scooby Doo, Popeye, Richie Rich, Jerry and
Yogi Bear – are telecast in a week on seven different days – Sunday, Monday, Tuesday, Wednesday,
Thursday, Friday and Saturday - not necessarily in the same order. Each of these characters eats one food
out of the seven different foods – honey, cactus, radish, carrot, bread, biscuit and cheese - in any order.
Sunday being the day 1 and Saturday being the day 7 of the week.
Q.60
Which cartoon’s show appears on TV on the day immediately preceding the day on which Popeye appears?
1 Flintstones
2 Yogi Bear
3 Scooby Doo
4 Richie Rich
Solution:
Bookmark
Correct Answer : 3
Using the data given in the question, we can form the following table:
Answer key/Solution
Scooby Doo’s show telecast on the day preceding the Popeye’s show day.
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Direction for questions 59 to 62: Answer the questions on the basis of the information given below.
Shows based on seven cartoon characters – Flintstones, Tom, Scooby Doo, Popeye, Richie Rich, Jerry and
Yogi Bear – are telecast in a week on seven different days – Sunday, Monday, Tuesday, Wednesday,
Thursday, Friday and Saturday - not necessarily in the same order. Each of these characters eats one food
out of the seven different foods – honey, cactus, radish, carrot, bread, biscuit and cheese - in any order.
Sunday being the day 1 and Saturday being the day 7 of the week.
Q.61
Which are the characters appearing on odd numbered days of week, with days in ascending order?
Solution:
Bookmark
Correct Answer : 3
Using the data given in the question, we can form the following table:
Answer key/Solution
Flintstones, Scooby Doo, Richie Rich, Yogi Bear is the correct order.
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Direction for questions 59 to 62: Answer the questions on the basis of the information given below.
Shows based on seven cartoon characters – Flintstones, Tom, Scooby Doo, Popeye, Richie Rich, Jerry and
Yogi Bear – are telecast in a week on seven different days – Sunday, Monday, Tuesday, Wednesday,
Thursday, Friday and Saturday - not necessarily in the same order. Each of these characters eats one food
out of the seven different foods – honey, cactus, radish, carrot, bread, biscuit and cheese - in any order.
Sunday being the day 1 and Saturday being the day 7 of the week.
Q.62
Whose show telecasts on TV on a day immediately after the day on which Jerry’s show telecasts?
1 Popeye
2 Tom
3 Yogi Bear
4 Flintstones
Solution:
Bookmark
Correct Answer : 3
Using the data given in the question, we can form the following table:
Answer key/Solution
There are twelve taps connected to a tank to ll it with water. Rate (in liters per hour) at which the taps lls
water in the tank is different for all the twelve taps, where the minimum and the maximum rate is 5 liters
per hour and 60 liters per hour respectively. Rate of any of the taps is a multiple of 5. In a day, any of the
pipes can work for a maximum of two hours, and also that two hours work of a pipe can be done at a single
stretch only. No two taps are opened at the same time. Sequence of the twelve taps for lling the tank
remains same for all the days, and all the taps ll the tank on their scheduled timing everyday till the tank
is full. Total capacity of the tank is 800 liters.
Q.63
If it takes exactly 26 hours to ll the tank completely, nd the rate (in liters per hour) of the tap which lls
the tank lastly.
1 10
2 20
3 5
4 15
Solution:
Bookmark
Correct Answer : 1
Since the rate of all the twelve taps is multiple of 5, for which the minimum
Answer key/Solution
and maximum value is 5 and 60, it can be deduced that the 12 taps are having
a rate of 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60 liters/hour. Also, if
each of the taps is opened for two hours in a day, the capacity of the tank
which got lled is 780 liters.
In the rst day i.e, 24 hours all the taps lled a total of 780 liters of water in the tank.
Therefore, in the last two hour total water to be lled is 20 liters.
Therefore the capacity of the tap which worked in the last two hours is 10 liters per hour.
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Direction for questions 63 to 66: Answer the questions on the basis of the information given below.
There are twelve taps connected to a tank to ll it with water. Rate (in liters per hour) at which the taps lls
water in the tank is different for all the twelve taps, where the minimum and the maximum rate is 5 liters
per hour and 60 liters per hour respectively. Rate of any of the taps is a multiple of 5. In a day, any of the
pipes can work for a maximum of two hours, and also that two hours work of a pipe can be done at a single
stretch only. No two taps are opened at the same time. Sequence of the twelve taps for lling the tank
remains same for all the days, and all the taps ll the tank on their scheduled timing everyday till the tank
is full. Total capacity of the tank is 800 liters.
Q.64
If it takes exactly 27 hours to ll the tank completely, nd the rate (in liters per hour) of the tap which lls
the tank secondly in a day.
1 5
2 10
3 20
4 15
Solution:
Bookmark
Correct Answer : 2
Since the rate of all the twelve taps is multiple of 5, for which the minimum
Answer key/Solution
and maximum value is 5 and 60, it can be deduced that the 12 taps are having
a rate of 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60 liters/hour. Also, if
each of the taps is opened for two hours in a day, the capacity of the tank
which got lled is 780 liters.
In the rst day i.e, 24 hours all the taps lled a total of 780 liters of water in the tank.
Therefore, in the last three hour total water to be lled is 20 liters.
So in the rst two hour of the second day water lled is 10 liters by the tap having rate of 5 liters per hour,
and in the 27th hour water lled is 10 liters.
Therefore, capacity of the tap which works secondly in a day is 10 liters, as the schedule remains same for
all the days.
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Direction for questions 63 to 66: Answer the questions on the basis of the information given below.
There are twelve taps connected to a tank to ll it with water. Rate (in liters per hour) at which the taps lls
water in the tank is different for all the twelve taps, where the minimum and the maximum rate is 5 liters
per hour and 60 liters per hour respectively. Rate of any of the taps is a multiple of 5. In a day, any of the
pipes can work for a maximum of two hours, and also that two hours work of a pipe can be done at a single
stretch only. No two taps are opened at the same time. Sequence of the twelve taps for lling the tank
remains same for all the days, and all the taps ll the tank on their scheduled timing everyday till the tank
is full. Total capacity of the tank is 800 liters.
Q.65
If one of the last ve working taps in a day, as per the sequence of the rst day, gets blocked for some
time, then instead of taking 26 hours it took exactly 28 hours to ll the tank completely. Which of the
following cannot be the time for which the given tap was blocked?
1 15 minutes
2 75 minutes
3 90 minutes
4 120 minutes
Solution:
Bookmark
Correct Answer : 4
Since the rate of all the twelve taps is multiple of 5, for which the minimum
Answer key/Solution
and maximum value is 5 and 60, it can be deduced that the 12 taps are having
a rate of 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60 liters/hour. Also, if
each of the taps is opened for two hours in a day, the capacity of the tank
which got lled is 780 liters.
As because of blockage in any of the last ve working taps total extra time taken is 2 hours, therefore, if
the blocked pipe was blocked for two hours, compensated time can’t be 2 hours. Either it should be more
than 2 hours or less than two hours.
Therefore, 120 minutes cannot be the time for which the given tap was blocked.
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Direction for questions 63 to 66: Answer the questions on the basis of the information given below.
There are twelve taps connected to a tank to ll it with water. Rate (in liters per hour) at which the taps lls
water in the tank is different for all the twelve taps, where the minimum and the maximum rate is 5 liters
per hour and 60 liters per hour respectively. Rate of any of the taps is a multiple of 5. In a day, any of the
pipes can work for a maximum of two hours, and also that two hours work of a pipe can be done at a single
stretch only. No two taps are opened at the same time. Sequence of the twelve taps for lling the tank
remains same for all the days, and all the taps ll the tank on their scheduled timing everyday till the tank
is full. Total capacity of the tank is 800 liters.
Q.66
If the tank is to be lled completely in ‘x’ hours where ‘x’ is an integer, then the rate (in liters per hour) of
the tap which starts after (x-1)th hour such that value of ‘x’ is minimum possible is
1 10
2 15
3 20
4 None of these
Solution:
Bookmark
Correct Answer : 3
Since the rate of all the twelve taps is multiple of 5, for which the minimum
Answer key/Solution
and maximum value is 5 and 60, it can be deduced that the 12 taps are having
a rate of 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60 liters/hour. Also, if
each of the taps is opened for two hours in a day, the capacity of the tank
which got lled is 780 liters.
If the tank got lled in ‘x’ hours, the minimum possible integral value for x would be 25.
Now tap which starts after (25 - 1)th hour i.e, during 25th hour had to ll 20 liters in the tank in 1 hour.
So, the rate of tap which is opened during 25th hour is 20 liters/hour.
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Sec 3
Q.67
‘abcde’ is a ve digit number, with all distinct digits, such that a + c + e = 17 and b + d = 10. If value of (a × c
× e) + (b × d) is minimum, then which of the following can be the ve digit number?
1 94167
2 92781
3 31896
4 89712
Solution:
Bookmark
Correct Answer : 2
The best way to solve such problems is to go through each option.
Answer key/Solution
First check whether the given options satisfy the conditions: a + c + e =17 and
b + d = 10.
Then, further look for the minimum value
For 94167, the required sum = (9 × 1 × 7) + (4 × 6) = 87
For 92781, the required sum = (9 × 7 × 1) + (2 × 8) = 79
For 31896, the required sum = (3 × 8 × 6) + (1 × 9) = 153
For 89712, the required sum = (8 × 7 × 2) + (9 × 1) = 121
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Q.68
If all the roots of cubic equations x3 + ax ± 70 = 0 are integers, then which of the following is true?
Q.69
An equilateral triangle ABC is inscribed in a regular hexagon as shown in the gure below. Find the ratio of
the length of inradius of ΔABC to that of the side of the hexagon.
1 1:2
2 2:1
3 1 : √3
4 √3 : 1
Solution:
Bookmark
Correct Answer : 1
Answer key/Solution
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Q.70
Solution:
Bookmark
Correct Answer : 0
Answer key/Solution
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Q.71
Find the remainder when F(a) = a15 + a14 + a13 +.....+ a2 + a is divided by (a2 – 1).
1 7a + 8
2 8a + 7
3 9a + 6
4 5a + 8
Solution:
Bookmark
Correct Answer : 2
Answer key/Solution
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Q.72
1 x+y=4
2 x2 + y2 = 8
3 x2 + y2 = 10
4 x+y=2
Solution:
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Correct Answer : 4
Answer key/Solution
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Q.73
The sum of all the real roots of the equation |x – 4|2 + |x – 4| – 6 = 0 is
1 6
2 8
3 10
4 12
Solution:
Bookmark
Correct Answer : 2
Answer key/Solution
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Q.74
A bus arrives at Tintin bus stop in every 5 minutes starting from 6:30 am. Arya is equally likely to reach
Tintin bus stop at any time between 7:45 am to 8:05 am, and hence boards the next bus that arrives after
reaching. Sansa is equally likely to reach the bus stop at any time between 7:55 am to 8:10 am and
therefore boards the next bus after reaching. What is the probability that both of them board the same
bus?
1 1/4
2 1/12
3 1/6
4 1/8
Solution:
Bookmark
Correct Answer : 3
Answer key/Solution
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Q.75
A person can complete a job in 128 days. He started working alone on Monday. On Tuesday, he was joined
by another person who can complete the same job in 64 days. On Wednesday, these 2 were joined by a 3rd
person who can complete the same job in 32 days, and so on. If Sunday is a holiday, on which day would
the job get completed?
1 Tuesday
2 Monday
3 Saturday
4 None of these
Solution:
Bookmark
Correct Answer : 2
Answer key/Solution
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Q.76
The square of the fourth term of an AP is equal to half of the product of its second and sixteenth term.
Which of the following can be the ratio of the rst term and the common difference of the AP?
1 1:1
2 3:1
3 4:3
Answer key/Solution
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Q.77
A boat has a maximum capacity to carry 1200 kg. There are 20 children and 20 adults waiting on the river
bank to cross the river in the boat. Each child weighs 30kg and each adult weighs 50kg. Ten of the children
are also carrying a school bag weighing 5kg. If every child on the boat must be accompanied by an adult,
what is the maximum number of people who can board the boat?
Solution:
Bookmark
Correct Answer : 29
Answer key/Solution
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Q.78
Lala Hari invests 60% of his monthly savings in mutual funds, 20% of the remaining in life insurance and
the rest in his savings account. If the total amount in his mutual funds and saving accounts taken together
is Rs. 46000, then nd the monthly savings (in Rs.) of Lala Hari.
Solution:
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Correct Answer : 50000
Answer key/Solution
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Q.79
ABC is a triangle inscribed in a semicircle with BC as its diameter. If further two semicircles are drawn
taking AB and AC as their diameters as shown below, then which of the following represents the area of
the shaded region?
1 Area of ΔABC
4 None of these
Solution:
Bookmark
Correct Answer : 1
Answer key/Solution
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Q.80
Sanjay bought 250 pens at the rate of Rs.15 per pen. He sold 100 pens at a gain of 10%. By how much
percent above the cost price he must sell the remaining pens to earn a pro t of 20% on the whole lot?
1 25%
2
Solution:
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Correct Answer : 3
Answer key/Solution
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Q.81
In a Carom competition, involving some boys and some girls, every person had to play exactly one game
with every other person. It was found that in 45 games both the players were girls and in 190 games both
were boys. The number of games in which both, a girl and a boy, were present is (assume competition had
to be held only between two players at a time)
Solution:
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Correct Answer : 200
Answer key/Solution
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Q.82
How many three digit numbers, having all distinct digits, are there such that the ratio of hundred digit to
unit digit is same as that of the unit digit to tens digit?
Solution:
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Correct Answer : 8
Answer key/Solution
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Q.83
Surya has to pay back the total loan plus interest, where the interest is of Rs. 441 earned at the rate of 10%
compounded annually in 2 years, on the loan. Had Surya decided to pay it in two equal installments at
same rate of interest then he would have saved Rs. x. Find the value of x.
1 121
2 210
3 41
4 110
Solution:
Bookmark
Correct Answer : 1
Answer key/Solution
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Q.84
When a rectangular sheet is trisected along its length, the new length and breadth has the same ratio as of
the original rectangle and the same process continues in nitely. If the area of the original rectangle is 36
sq. units, then nd the sum of areas of all such rectangles (including the original rectangle).
Solution:
Bookmark
Correct Answer : 54
Answer key/Solution
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Q.85
How many 3-digit perfect square are there in base 7, which are also equivalent to a 4-digit perfect square
while converted in base 5?
1 7
2 9
3 12
4 Cannot be determined
Solution:
Bookmark
Correct Answer : 1
The minimum and maximum value of a three digit number in base 7 is (100)7
Answer key/Solution
and (666)7. On converting these values in base 10, we get the minimum value
as 49 and maximum as 342.
Similarly, the minimum and maximum value of a 4-digit number in base 5 is
(1000)5 and (4444)5, which on converting in base 10 take values as 125 and 624.
So we need to look for those perfect squares which lies between 125 and 342. A total of 7 such values i.e,
144, 169, 196, 225, 256, 289 and 324, are there.
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Q.86
4 men and 6 women can complete a task in 14 days whereas 3 men and 4 women can do the same task in
20 days. In how many days 5 men and 5 women together can complete the twice of the same task?
Solution:
Bookmark
Correct Answer : 28
Answer key/Solution
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Q.87
Find the maximum value of (A + B + C) such that A, B, C are prime numbers and AB + BC + CA = 360.
1 24
2 30
3 45
4 Not possible
Solution:
Bookmark
Correct Answer : 4
As A, B, C are prime numbers, two cases arise either all three are odd number
Answer key/Solution
or one of them is 2 and other two are odd numbers. In both the cases (AB + BC
+ CA) will be odd and cannot be equal to 360, which is an even number.
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Q.88
In a right angled triangle ABC, right angled at B, angular bisector and median drawn from B intersect AC at
X and Y respectively. If the distance between X and Y is 7/2 cm, and AC is 49 cm, nd the approximate area
of triangle ABC.
1 35
2 576
3 525
4 23
Solution:
Bookmark
Correct Answer : 2
Answer key/Solution
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Q.89
If p is a non negative integer such as (p2 – 18p + 80) (p2 – 20p + 99) =7920, then nd the value of p.
1 0
2 19
3 12
Solution:
Bookmark
Correct Answer : 4
Factorizing the given expression, we get
Answer key/Solution
(p – 8) (p – 10) (p– 9) (p– 11) = 7920 = 8 × 9 × 10 × 11
So, only p= 0 and p= 19 will satisfy the equation.
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Q.90
An isosceles cyclic trapezium is circumscribed around a circle with integral sides. Parallel sides of the
trapezium are in ratio 1:5. If perimeter of the trapezium is 12 cm, then which of the following could be the
area of trapezium?
1 6√5
2 2√5
3 3√5
4 √5
Solution:
Bookmark
Correct Answer : 3
Answer key/Solution
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Q.91
A man cheats while buying as well as selling an item. At the time of buying he takes x% more than what he
pays for ,while selling he uses a weight of 800 gms at the place of 1000 gms. If he sells the item at 10%
above the cost price and earn an overall pro t of 65%, then nd the value of x.
1 25
2 20
3 35
4 30
Solution:
Bookmark
Correct Answer : 2
Answer key/Solution
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Q.92
1 343
2 1/343
3 1/49
4 1/7
Solution:
Bookmark
Correct Answer : 2
Answer key/Solution
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Q.93
Find the number of integral solutions of the equation 2x – y + z = 20, where x ≥ 1, z ≥ 1 and y ≤ 18.
1 380
2 306
3 342
4 190
Solution:
Bookmark
Correct Answer : 3
Answer key/Solution
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Q.94
If f(x) = x2 + 1 and g(x) = 2x – 3 be two functions, then nd value of f[g(f(g(f(x))))] + g[f(g(f(g(x))))] at x = 1.
Solution:
Bookmark
Correct Answer : 3
Firstly, f(g(f(g(f(x))))) at x = 1 is f(g(f(g(2)))), as f(1) = 2.
Answer key/Solution
Now as g(2) = 1, f(g(f(1))) = f(g(2)) = f(1) = 2.
Similarly, g(f(g(f(g(x))))) = 1.
So, the required result = 2 + 1 = 3
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Q.95
The average salary of marketing department, having 22 employees working, of ABC company is 3.7 lac
more than the average salary of operations department, having 15 employees working, of same company.
If the average salary of all 37 employees is 5.6 lacs, nd the average salary (in lac) of marketing
department.
1 5.6
2 4.1
3 7.1
4 7.8
Solution:
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Correct Answer : 3
Let average salary of operations department be x lac.
Answer key/Solution
Then, average salary of marketing department becomes (x + 3.7) lac.
So, 22(x + 3.7) + 15x = 37 × 5.6
⇒x= 3.4
Hence, average salary of marketing department = 7.1 lac
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Q.96
‘n’ is a positive integer which has at least two prime factors. If the product of all the unique positive
divisors of n is n3, then the product of all the unique positive divisors of n2 is
1 n3
2 n6
3 n12
4 n15
Solution:
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Correct Answer : 4
Answer key/Solution
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Q.97
John, while going from home to work, travels rst hour at 20 km/hr, second hour at 40 km/hr and third
hour at 60 km/hr, and reaches his o ce. While coming back from work, he travels rst hour at 20 km/hr
and every subsequent hours at 2 km/hr more than the previous hour and reaches home.
Find John’s average speed (in km/hr) for the entire journey.
Solution:
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Correct Answer : 30
Answer key/Solution
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Q.98
How many litres of water needs to be added to 14 litres of solution, having milk and water in ratio 4 : 3,
such that the resultant solution has milk and water in ratio 1 : 2?
Solution:
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Correct Answer : 10
Answer key/Solution
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Q.99
A thief absconded a prison at 3 am with speed 30 km/hr. Police realised his escape after some time and
hence started chasing him at the speed of 45 km/hr. Thief was caught at 10.30 am, the same day. Find out
the duration (in hours) after which police started chasing the thief?
1 2
2 1.5
3 2.5
4 3
Solution:
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Correct Answer : 3
As the thief and the police travelled the same distance with their speeds in
Answer key/Solution
ratio 2 : 3, so time taken by them will be in ratio 3 : 2.
So, difference of their time = 2.5 hr
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Q.100
A clock was 10 minutes behind the actual time at 1 pm on Monday. It was 20 minutes ahead the actual
time in the next 144 hrs. When would it be 5 minutes ahead of actual time?
1 Tuesday, 1 pm
2 Wednesday, 1 pm
3 Thursday, 1 pm
4 Friday, 1 pm
Solution:
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Correct Answer : 3
As per data, 30 minutes gain is happening in 144 hrs. It would have taken 72
Answer key/Solution
hours for 15 minutes gain. On Thursday at 1 pm, it would be 5 mins ahead.
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