Aptitude

1. A person bought a certain quantity of rice at the rate of Rs. 250 per quintal. 20% of the rice was spoiled.
At what price (per quintal) should he sell the remaining rice to earn 25% profit?
A Rs. 390.625 B Rs. 180.50 CRs. 225.50 D Rs. 375.525

Q. 2 Raman and Manoj attempted to solve a quadratic equation. Raman made a mistake in writing down
the constant term. He endedup with the roots (4,3). Manoj made a mistake in writing down the coefficient
of x. He got the roots as (3,2). What will be the exact roots of the original quadratic equation?
A (5,-1) B (6,1) C. (6,-1) D (1,5)

Q. 3 A trader fixes selling prices of commodities after increasing them by 10% and offers 10% rebate on
selling prices. The per cent gain or loss is
A 10% gain B 0.9% gain C 1.2% los D 1% loss

Q. 4 What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10
and 15 will leave in case the same remainder 7?
A 13 B 36 C 39 D30

Q.5The ratio of number of 2 rupees coins and 5 rupees coins that Maria has is 6:11. If the number of 5
rupees coins is halved, then she will have an amount of Rs. 790. How many 2 rupees coins does Maria
have?
A 84 B 108 C 120 D 220

Q. 6 In an examination, the average marks was found to be 40. For deducting marks due to computational
errors, the average marks of 100 candidates was changed from 80 to 40, hence the net average marks
came down to 30. The total number of candidates, who appeared in the examination, was -
A 200 B 400 c 300 D 150

Q. 7 Aarav gave an increment of 20% to the employees on their salary. Then, new salary of each employee
became Rs. 6,720. What was their salary per employee before increment?
[This test belongs to Paid Members of KNOWLEDGE GATE]
A Rs. 5760 B Rs. 5600 CRs. 8064 D Rs. 5376

Q. 8 15 men or 30 women can do a piece of work in 60 days. In how many days can 20 men and 10 women
do thrice the work?
A 98 B 100 C 108 D 112

Q. 9 In a mixture of 50 liters of alcohol, the ratio of alcohol and water is 3:2. What amount of water should
be added to make the ratio of 2:3?
A 15 liters B 20 liters C 25 liters D 30 liters

Q. 10 A bag contains 4 bananas and 3 apples. 3 fruits are taken out randomly. Find the probability of that
drawn fruits is either all apples or all bananas.
A 5/9 B 2/11 1/7 D 3/4

Q. 11 A sum of money amounts to Rs. 7719.8 at the rate of 10% compounded annually for 3 years. The sum
of money is
A RS. 5680 B Rs. 5860 c Rs. 5780 D Rs. 5800

Q. 11A sum of money amounts to Rs. 7719.8 at the rate of 10% compounded annually for 3 years. The sum
of money is
A RS. 5680 B Rs. 5860 c Rs. 5780 D Rs. 5800
Q. 13 The work done by a woman in 8 h is equal to the work done by a man in 6 h and by a boy in 12 h. If
working 6h/day 9 men can complete a work in 6 days, then in how many days 12 women and 12 boys
together finish the same work working 8 h/day?
A 9/4 days B 5/2 days 13/7 days D 8/3 days

Q. 14 If the radii of two circles be 6 cm and 3 cm and the length of the transverse common tangent be 8 cm,
then the distance between the two centers is
A √145 cm B √140 cm c√150 cm D √135 cm

Q. 15
Find the value of mnp, if the roots of the equation (mpx2-2mnpx + n = 0) are real and equal.
A0 B1 C -1 DX

Q. 16 A motorist goes at a speed of 30 km/h reaches his destination 40 minutes late. Next time he increases
his sped by 5 km/h but still he is late by 15 minutes. Find the distance of the office from his home.
A 75 km B 87.5 km C 55 km D67.5 km

Q. 17 The S.I. and C.I. on a certain sum of money in 2 years with same rate of interest are Rs.1300 &
Rs.1332.5 respectively. Find the sum.
A Rs.10000 B Rs.12300 C Rs.13000 D Can't be determined

Q. 18 of 25 Marks: 1.0, -0.0

A retailer purchased radio sets at the rate of Rs.4000 each from a wholesaler. He raised the price by 20%
and then allowed a discount of 10% on each set. His profit will be
A 10% B 8% c 5.5% D 19.6%

Q. 19 A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the
same number is divided by 5?
A1 B2 C3 D4

Q. 20 If 2x-3(2x-2) > x-1<2+2x; then x can take which of the following values?
A2 B -2 C4 D -4

Q. 21 of 25 Marks: 1.0, -0.0

The average of first four out of five given numbers is 15 and that of the last four is 16. If the last number is
20, the first one is?
A 15 B 16 18 D 19

Q. 22 Two copiers are being used to produce 2400 copies of a 1 page document. One copier runs at 150%
of the speed of the other. How many copies should be made on the faster copier so that both copiers will
finish the same time?
A 1450 B 960 C 1440 D 950

Q. 23 What will come in the place of the question mark '?' in the following question?
986 x 237 +986 x 863 = ?
A 1084600 B 1084800 c) 1084850 D. 986860

Q. 24 A cube of side 12 cm, is painted red on all the faces and then cut into smaller cubes, each of side 3cm.
What is the total number of smaller cubes having none of their faces painted?
A8 B 16 c 32 D 64
Q. 25 Abhishek and Sujay can together finish a work in 50 days. They worked together for 35 days and then
Sujay left. After another 21 days, Abhishek finished the remaining work. In how many days Abhishek alone
can finish the work? [Asked in Amcat 2019, Cognizant 2021]
A 60 days B 80 days C 75 days D 70 days

Logical Reasoning
Q.1 On what dates of July 2004 did Monday fall?
A 5, 12, 19, 26 B 4, 11, 18, 25 C 9, 16, 23, 30 D 7, 14, 21, 28

Q. 2 Directions: In each question below is given a statement followed by two assumptions numbered I and
II. You have to consider the statement and the following assumptions and decide which of the assumptions
is implicit in the statement.
Statement: Children these days are being highly influenced by the characters in the TV show they watch.
Assumption I: The children consider the character as their role model.
Assumption II: For many children, their favorite pastime is watching TV shows.
A Only assumption I is implicit BOnly assumption II is implicit
C Either I or II is implicit D Neither I nor II is implicit

Q. 3 of 35 Marks: 1.0, -0.0

Priyank ranks 6th from the bottom and 28th from the top in a class. How many students are there in the
class?
A 31 B 32 c 33 D 34

Q. 4 Raju moved to his North-West side for 2km. From there he turned 90° clockwise and moved 2km. From
there he turned 90° clockwise and travelled 2 km then he would be in which direction from the original
position?
A South East Region B North East Region C South West Region D Western Region

Q. 5 Naomi runs for 10 km in the eastern direction. She then turns left and starts walking for 6 km. Again,
she turns left and starts running for 6 km. Then she turns left and walks again for 6 km. How far is she from
the starting point?
A 4 km B 5 km C 6 km D 3 km

Q. 6 of 35 Marks: 1.0, -0.0

Directions: The given question consists of two sets of figures. In the first set both the boxes have been
related by some analogy. On the same pattern find the answer for the given figure box.

A. B. C. D.

Q. 7 of 35 Marks: 1.0, -0.0

In a certain code language, "RESTED" is written as "SDTSFC" and "POINTS" written as "QNJMUR". How is
"BANNED" Written in that code language?
A CZOMFC B ABMODE C ZMFODE D ABMMFC

Q. 8 of 35 Marks: 1.0, -0.0

In the following question, select the odd letters pair from the given alternatives.
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A ABDV B LJMQ C XFHL D GCEI

Q. 9 of 35 Marks: 1.0, -0.0

In the following question, select the missing number from the given series.
147, 149, 152, 156, 161, ?
A 168 B 167 c 166 D 165

Q. 10 Identify the pair of words which has a relationship similar to the pair in question.
Crime: Confederate
A Trip: Train B Legislation : Parliament
C.Repair: Mechanic D Novel: Co-author

Q. 11
Directions: The following question, consist of two words each that have a certain relationship to each other,
followed by four lettered pairs of words. Select the lettered pair that has the same relationship as the
original pair of words.
Yard: Inch :: Quart: ?
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A Oil B Bounce C milk D Liquid

Q. 12 In a certain code language, 134 means good and tasty, 478 means see good pictures; and 729 means
pictures are faint. Which of the following digits stands for see?
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A4 B7 C9 D8

Q. 13 On 8th Nov, 2007 Thursday falls. What day of the week was it on 8th Nov, 2006?
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A Monday B Sunday C Wednesday D Saturday

Q. 14 Rakesh walks 30 metres towards south. Then, turning to his right, he walks 30 metres. Then turning
to his left, he walks 20 metres. Again, he turns to his left and walks 30 metres. How far Rakesh is from his
initial position?
A 25 B 20 C 30 D 50

Q. 15 A man goes to the house of Malati who is the neighbour of Vaiju who has a daughter Nita. Nita
studies in First year. Ashu is the father of Aman and is married to Meena whose sister is Vaiju. What is the
relation ofVaiju and Aman?
A Cousin B Niece C Grandson D Nephew

Q. 16 Directions: Question is followed by two statements, I and II, giving certain data.
Five girls stand in a row. What is the weight of the third girl?
(i) The third girl is 75% of the average weight.
(ii) Their total weight is 150 kgs
A A The question can be answered using one of the statements alone but cannot be answered using the
other statement
B The question can be answered by using either statement alone.
12.15 of 35 Marks
C The question can be answered by using both the statements together but cannot be answered by using
either statements alone.
D The question cannot be answered even by using both the statements together.

Q. 17 of 35 Marks: 1.0, -0.0

Which of the following is not a leap year?
A 1600 B 1200 C 800 D 500

Q. 18 of 35 Marks: 1.0, -0.0

When a watch shows 5:15. if minute hand points towards the east, then in which direction will the hour
hand point at 6:00?
A North B South C North-West D South-west

Q. 19A and B are sisters. P is the son of Q and B is the mother of Q. If C is the son of A, which of the
following relations is correct?
AA is the grand mother of P B C and Q are cousins
C There are two grand sons of B D Nothing can be said

Q. 20 In a certain code language 'pit nae tom' means apple is green; 'nae ho tap' means green and white
and 'ho tom ka' means shirt is white. Which of the following represents 'apple' in that language?
A nae B tom C pit D ho
Q. 21 Directions: Question is followed by two statements, I and II, giving certain data.What is the average
weight of the class?
(i) The average weight of the boys is greater than the average weight of the girls.
(ii) The number of students in the class is 30 and their total weight is 1200 kg.
A The question can be answered by using either statement alone.
B The question can be answered by using either statement alone.
С The question can be answered by using both the statements together but cannot be answered by using
either statements alone.
D The question cannot be answered even by using both the statements together.

Q. 22 In the following diagram Rectangle represents men, Triangle represents educated, Circle represents
urban and Square represents government employees.

Which one of the following represents the educated men but not urban?
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A9 B5 C4 D 11

Q. 23 In question below,there are two or three statements followed by four conclusions numbered I, II, III
and IV. Take the given statements to be true even if they seem to be at variance with commonly known
facts and then decide which of the given conclusions logically follow(s) from the given statements.
Statements:
A. All pins are staplers.
B. Some staplers are sharpeners.
C. Some sharpeners are stands.
Conclusions:
1. Some staplers are stands.
II. Some sharpeners are pins.
III. Some pins are stands.
IV. Some stands are sharpeners.
A Only I and II follow B Only II and IV follow
C Only III follows D Only IV follows

Q. 24 Replace the question mark with a term from the options which follows the same relationship as
shown by the first two terms
25:37:49:?
A 41 B 56 C 60 D 65

Q. 25 In the following diagram Rectangle represents men, Triangle represents educated, Circle represents
urban and Square represents government employees.

Which one of the following represents a woman who is urban as well as government employee?
A7 B 13 c 10 D6

Q. 26 A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left
and walks 5 km. Now in which direction is he from the starting place?
A West B South C North-East D South-West

Q. 27 In each question below is given a statement followed by two courses of action numbered I and II. You
have to assume everythingin the statement to be true and on the basis of the information given in the
statement, decide which of the suggested courses of action logically follow(s) for pursuing.
Statement: Since its launching in 1981, Vayudoot has so far accumulated losses amounting to Rs 153 crore.
Courses of Action:
I. Vayudoot should be directed to reduce wasteful expenditure and to increase passenger fare.
II. An amount of about Rs 300 crore should be provided to Vayudoot to make the airliner economically
viable.
A Only I follows B Only II follows C Either I or II follows
D Neither I nor II follows E Both I and II follow

Q. 28 In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in
the middle of the series or end of the series.
CMM, EOO, GQQ, ———, KUU
A GRR B GSS C ISS D ITT

Q. 29 of 35 Marks: 1.0, -0.0

A good way to figure out the relationship in a given question is to make up a sentence that describes the
relationship between
the first two words. Then, try to use the same sentence to find out which of the answer choices completes
the same relationship with the third word.
Sponge is to porous as rubber is to
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A massive B solid C elastic D inflexible

Q. 30 Look at this series: (1/9), (1/3), 1, ———, 9, ... What number should fill the blank?
A (2/3) B3 C6 D 27

Q. 31 of 35 Marks: 1.0, -0.0

Three of the words will be in the same classification, the remaining one will not be. Your answer will be the
one word that does NOT belong in the same classification as the others.
Which word does NOT belong with the others?
A rye B Sourdough (c) pumpernickel d loaf

Q. 32 Look at this series: V, VIII, XI, XIV,, XX, ... What number should fill the blank?
A IX B XXIII CXV D XVII

Q. 33 of 35 Marks: 1.0, -0.0

Find the number that fits somewhere into the middle of the series. Some of the items involve both
numbers and letters Look at this series:
664, 332, 340, 170, 89, ... What number should fill the blank?
A 85 B 97 c 109 D 178

Q. 34 Select a figure from amongst the Answer Figures which will continue the same series as established
by the five Problem Figures.
A1 B2 c3 D4 E5

Q.35 Data Sufficiency:

Question: Which direction is Sunny facing now?
Statements:
(1) If Sunny turns to his right and again turns to his right, he will be facing North.
(II) If Sunny walks some distance and turns left and again walks some distance, then his face will be towards
left of Dinesh who is facing South.
AI alone is sufficient while II alone is not sufficient
B II alone is sufficient while I alone is not sufficient
C Either I or II
D Neither I nor II
E Both I and II

Verbal Ability
Direction [1-3] Read the passage given below and then answer the questions given below the passage.
Some words may be highlighted for your attention. Read carefully.
A psychologist walked around a room while teaching stress management to an audience. As she raised a
glass of water, everyone expected they'd be asked the question, "Half empty or half full?" Instead, with a
smile on her face, she inquired: "How heavy is this glass of water?"
Answers called out ranged from 8 oz. to 20 oz.
She replied, "The absolute weight doesn't matter. It depends on how long I hold it. If I hold it for a minute,
it's not a problem. If I hold it for an hour, I'll have an ache in my arm. If I hold it for a day, my arm will feel
numb and paralyzed. In each case, the weight of the glass doesn't change, but the longer I hold it, the
heavier it becomes."
She continued, "The stresses and worries in life are like that glass of water. Think about them for a while
and nothing happens. Think about them a bit longer and they begin to hurt. And if you think about them all
day long, you will feel paralyzed- incapable of doing anything."
It's important to remember to let go of your stresses. As early in the evening as you can, put all your
burdens down. Don't carry them through the evening and into the night. Remember to put the glass down!

Q. 1
The longer the glass (problems) is held, the tougher it becomes for the
A Students B Psychologist C People D Mind

Q. 2 What does the author wish to convey through this story?

A The glass of water is very heavy when held for a longer period of time
B By holding the glass of water, one can identify the weight of the glass.
C One should not hold on or stick on to one's problems for a long period of time.
DBy putting down the glass of water, we can let go of all our problems

Q3 Which word among the following is the most suitable synonym for the word 'incapable' in this context?
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A Susceptible B Efficient C Incompetent D Equal

Q 4 The question below consists of a set of labelled sentences. Out of the four options given, select the
most logical order of the sentences to form a coherent sentence.
a. one universal correct method of parenting
b. parenting requires conscious efforts and
c. that it will come with mistakes as there is no
d. at the same time it must be known
Which word among the following is the most suitable synonym for the word 'incapable' in this context?
A Susceptible
B Efficient
C Incompetent
Aabdc B bdca C badc D dabc

Q5
The question below consists of a set of labelled sentences. Out of the four options given, select the most
logical order of the sentences to form a coherent sentence.
a. acknowledgment lacks in our society and
b. being deep into their own life and
c. not bothering about another's existence
d. a reason could be people
A cdba B bdca C adbc D acbd

Q6 In the following question, out of the four alternatives, select the alternative which is the best substitute
of the phrase. Proud and arrogant
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A Hypocrite B Impertinent C Haughty D Elated

Q7 In the following question, the sentence given with blank to be filled in with an appropriate word. Select
the correct alternative out of the four and indicate it by selecting the appropriate option.
Aryabhatta was the first astronomer to state.
that the earth is round and it rotates on its axis.
A sympathetically B automatically C emphatically D accidentally
Q8 In the following question, out of the four alternatives, choose the word which is opposite in meaning to
the given word and click the button corresponding to it.
Exasperate
A Provoke B Initiate C Control D Pacify

Q9 In the following question, out of the four alternatives, choose the word which is opposite in meaning to
the given word and click the button corresponding to it.
Despise
A Kill B Hate Cherish D Inspire

Q10
In the following question, one part of the sentence may have an error. Find out which part of the sentence
has an error and click the option corresponding to it. If the sentence is free from error, click the "No error"
option.
International Mother Earth Day is celebrated (1)/ each year to remind us that the Earth provides us with life
(2)/ and we should be grudgeful for the same. (3)/ No error (4)
A1 B2 C3 D4

11. Below are some alternatives which may be used to improve the sentence by replacing the word in
bold/bracketed. You may choose option 1, 2, or 3. In case 'No Improvement' is needed, choose 4.
Nobody trusts a liar, even when he is telling the lie.
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A telling something. B telling the truth.
C telling the original story. D No improvement.

12. Select the correct passive voice.

He has broken the radio.
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A The radio has been broken by him.
B The radio had been broken by him.
C The radio was broken by him.
DThe radio has been broke by him.

13.
The sentence(s) given with blanks are to be filled with an appropriate word(s). Four alternatives are
suggested for each question. For each question, choose the correct alternative and click the button
corresponding to it.
Jane
to take art classes during the summer breaks.
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A Has decided B Will decide C Have decided D Requires

14. A sentence/a part of the sentence is underlined. Four alternatives are given to the underlined part
which will improve the meaning of the sentence. Choose the correct alternative and click the button
corresponding to it. In case no improvement is needed, click the option corresponding to 'No improvement!
I would like to lodge a complaint of the head manager for sexual harassment.
A complaint against the head B The complaint for the head
C A complaints of the head D No improvement
15.
In the following questions, one part of the sentence may have an error. Find out which part of the sentence
has an error and click the option corresponding to it. If the sentence is free from error, click the 'No error'
option.
Their (A)/ have been a lot of complaints (B)/ regarding his behaviourlately.(C)/ No error (D)
AB BB CC DD

16.
In the following questions, one part of the sentence may have an error. Find out which part of the sentence
has an error and click the option corresponding to it. If the sentence is free from error, click the 'No error'
option.
The children have (A)/ completed their homework (B)/, have they? (C)/ No error (D)
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AB BB CC DD

17.
By sheer
force, the men pushed the truck to the side of the road and out of danger.
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A virile B persnickety C meticulous D Suave

18.
Answer the questions based on the information given.
Mass transit authorities in large cities are struggling with deficits. Riders complain about delays and
breakdowns, cuts in service and fares being higher than they are accustomed to paying. For all these
reasons and because the price of gasoline is still not prohibitive, the number of passengers using public
transportation has fallen, thus adding to the deficits.
Which of the following statements about the relationship between the number of riders using public
transportation and the price of gasoline is best supported by the passage?
A As the price of gasoline rises, the number of riders using public transportation rises.
BEven if the price of gasoline rises, the number of riders using public transportation will continue to decline
C If the price of gasoline rises to a prohibitive level, the number of riders using public transportation will
rise.
The majority of riders using public transportation do not use gasoline; therefore,
D fluctuations in gasoline prices are unlikely to affect the number of riders using public transportation.

19. Arrange the following sentences in logical order to form a coherent paragraph.
1. What came out was very large garland made out of currency notes.
2. The unsuspecting governor opened the box in full view of the gathering
3. When the RBI governor came to inaugurate the new printing press, the local unit of the BJP handed him
a gift wrapped box
4. There was a twist - the notes were all as tattered as notes could get
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A 4132 B 3124 C 3214 D 4312

20.
In the following question, the sentence given with blank to be filled in with an appropriate word. Select he
correct alternative out of the four and indicate it by selecting the appropriate option.
A ruthless serial killer still.
in the woods.
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A Dance B Lurked C Lurk D Smile