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Sr. No. TOPICS Page No. 

       UNIT – I  

1 Time &Work  3-9

2    Pipe & Cisterns 10-11 

   UNIT – II  

3 Time Speed & Distance 12-19 

4 Problem on Trains 20-23

5 Boats & Streams  23-25 

   UNIT – III  
6 Syllogism 26-36 

7 Number ranking test 37-41 

   UNIT – IV  

8       Mensuration   42-46

9 Height & Distance  47-50 

   UNIT – V  

10 Seating arrangements 51-55

11 Calendars and Clocks  56-60

    UNIT – VI  

12 Data Interpretation 61-71 

13 Data Sufficiency 72-76

ANSWE
  77-81 
R KEY

Time & Work

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 ( Level-I ) days. A, B and C all working together
can do a piece of work in 6 days. In how
1. A and B together can do a specific many days A & C working together can
work in 8 days. B alone can do it in 10 do?
days, then time taken by A alone is? A. 3
A. 28 days B. 4
B. 36 days C. 6
C. 40 days D. 8
D. 32 days
6. A can do a piece of work in 12 days. B
2. A, B, C together can do a work in 6 can do same piece of work in 15 days.
days. A alone can do it in 12 days while After A had worked for 3 days B also
B alone can do it in 18 days, then time join A to finish the remaining work. In
taken by C is? how many days work will be finished?
A. 9 days A. 3
B. 18 days B. 5
C. 27 days C. 6
D. 36 days D. 8

3. A & B working together can do a 7. A can do a piece of work in 9 days. B

piece of work in 12 days. B & C working can do same piece of work in 10 days. C
together can do a piece of work in 15 can do same piece of work in 15 days. B
days. C & A working together can do a and C start working and left after 2
piece of work in 20 days. In how many days. In how many days remaining
days A can do the same work? work will be finished by A?
A. 20 A. 4
B. 30 B. 6
C. 40 C. 8
D. 60 D. 10

4. A and B can do a piece of work in 15 8. A can do a piece of work in 25 days

days. B and C can do the same work in and B in 20 days. They work together
10 days, A and C can do the same work for 5 days and then A goes away. In
in 12 days. Time taken by A, B and C how many days will B finish the
together to do the job is? remaining work? 
A. 4 days A. 17
B. 9 days B. 11
C. 8 days C. 12
D. 5 days D. 10
9. A can do a piece of work in 8 hours. B
can do same piece of work in 12 hours.
5. A & B working together can do a A starts working at 9AM and they
piece of work in 8 days. B & C working worked on alternative hours. At which
together can do a piece of work in 12 time work will be finished?

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 A. 3:30 pm
B. 6:30 pm 14. A, B and C can do a piece of work in
C. 3:30 am 24, 32 and 64 days respectively. They
D. 6:30 am starts working, A left the work after 6
days while B left the work before 6 days
10. A, B and C can do a piece of work in from the completion of work. In how
11, 20 and 55 days respectively. In how many days work will be finished?
many days work will be finished if A is A. 20
assisted by B and C on alternative day? B. 18
A. 4 C. 15
B. 6 D. None of these
C. 8
D. 16 15. A & B working together can do a job
in 30 days. They worked only for 20
11. A, B and C can do a piece of work in days and the rest job is done by A in
20, 30 and 60 days respectively. In how next 20 days. In how many days A can
many days work will be finished by A, do the complete job individually?
if he is assisted by B and C on every A. 30
third day? B. 40
A. 5 C. 60
B. 10 D. 120
C. 15
D. 20 16. A & B working together can do a
piece of work in 12 days. B & C working
12. A can do a work in same time in together can do same work in 16 days. A
which B & C can do it working together. worked for 5 days, B for 7 days and rest
A & B working together can do it in 10 work is finished by C in 13 days. In how
days. C can do same in 50 days. In how many days working alone C can do the
many days B can do the work same work?
individually? A. 48
A. 2 B. 24
B. 5 C. 18
C. 15 D. 12
D. 25 17. A is twice as good as B and together
13. A and B can do a piece of work in 20 they can finish the work in 18 days. In
and 30 days respectively. Both starts how many days A will finish the same
working on same time but B left the work?
work 5 days before the completion of A. 9
work. In how many days work will B. 24
complete? C. 54
A. 12 D. 27
B. 14
C. 16 18. Monica can do a job in 20 days.
D. 20 Tanya is 25% more efficient than

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Monica. In how many days Tanya will A. 6
finish the same work? B. 4
A. 14 C. 2
B. 15 D. 1
C. 16
D. 18 23. Twenty women can do a work in
sixteen days. Sixteen men can complete
19. A is 50% more efficient than B. C the same work in fifteen days. What is
does half of the work done by A & B the ratio between the capacity of a man
together. If C alone do the work in 40 and a woman?
days. In how many days all will finish A. 3 : 4
the same work together? B. 4 : 3
A. 10/3 C. 5 : 3
B. 20/3 D. 3 : 5
C. 30
D. 40/3 24. Ten men can finish a piece of work
in 10 days, whereas it takes 12 women
20. A is thrice as good as B and he is to finish it in 10 days. If 15 men and 6
able to finish the work 60 days less than women undertake the work, how any
B. In how many days they will finish the days will they take to complete it?
same work together? A. 3 days
A. 90/4 B. 4 days
B. 45/4 C. 5 days
C. 30/4 D. 6 days
D. 22/4
25. 40 men can do a job in 40 days. They
( Level-II ) start together but after every 10 days 5
men left the job. In how many days
21. 10 men can complete a piece of work work will be finished?
in 15 days and 15 women can complete A. 56 days
the same work in 10 days. If all the 10 B. 57 days
men and 15 women work together, in C. 56 and 1/3 days
how many days will the work get D. 56 and 2/3 days
completed?
A. 6 26. If 6 men and 8 boys can do a piece of
B. 5 work in 10 days and, 26 men and 48
C. 8 boys can do the same in 2 days. Then,
D. 9 the time taken by 15 men and 20 boys to
do the same type of work will be?
22. 12 men complete a work in 9 days. A. 5 days
After they have worked for 6 days, 6 B. 4 days
more men join them. How many days C. 6 days
will they take to complete the remaining D. 7 days
work?

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27. 12 men or 18 women can do a job in D. 42 hrs
14 days. In how many days work will be
finished by 8 men and 16 women? 32. A can do a job in 10 days and B in 15
A. 8 days days. They are working together and
B. 9 days charged ₹ 5000. What will be the share
C. 12 days of A?
D. 4 and half days A. 1000 ₹
B. 2000 ₹
28. If 10 men or 20 women or 40 children C. 3000 ₹
can do a piece of work in 7 months. D. 4000 ₹
Then, 5 men, 5 women and 5 children
together can-do half of the work in? 33. A can do a job in 10 days and B in 15
A. 6 months days. They charged ₹ 5000 together for
B. 4 months same job and A worked only for 4 days.
C. 5 months Rest work is done by B. what will be the
D. 8 months share of B?
A. 1000 ₹
29. 12 men or 15 women can do a job in B. 2000 ₹
4 days. 6 men start working and left C. 3000 ₹
after 2 days. How many women were D. 4000 ₹
put on the job to complete the
remaining work in next 3 days? 34. A can do a job in 10 days and B in 15
A. 12 days. They are working on a project of ₹
B. 15 1500. If A and B worked for 5 days and
C. 18 rest work is finished by C in 2 days.
D. 21 What will be the daily wages of C?
A. 100 ₹
30. 10 men and 15 women together can B. 125 ₹
complete a work in 6 days. It takes 100 C. 225 ₹
days for one man alone to complete the D. 250 ₹
same work. How many days will be
required for one woman alone to 35. A alone can do a piece of work in 6
complete the same work? days and B alone in 8 days. A and B
A. 90 undertook to do it for Rs. 3200. With the
B. 125 help of C, they completed the work in 3
C. 145 days. How much is to be paid to C?
D. 225 A. Rs. 375
B. Rs. 400
31. X can copy 80 pages in 20 hours; X C. Rs. 600
and Y together can copy 135 pages in 27 D. Rs. 800
hours. Then Y can copy 20 pages in
A. 20 hrs 36. Three people A, B and C can finish a
B. 24 hrs piece of work in 4, 9 and 12 days. Rs
C. 30 hrs 1600 is the total money allocated to

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complete that work. What amount will B. 25
each person get if all three are working C. 24
together? D. 30
A. 900, 400, 300
B. 400, 300, 900
C. 600, 300, 900 ( Level-III )
D. 900, 300, 600
41. 2 men and 5 women can do a work
37. A can do a particular work in 6 days. in 12 days. 5 men and 2 women can do
B can do the same work in 8 days. A and that work in 9 days. Only 3 women can
B signed to do it for Rs. 3200. They finish the same work in?
completed the work in 3 days with the A. 36
help of C. How much is to be paid to C? B. 21
A. Rs. 380 C. 30
B. Rs. 600 D. 42
C. Rs. 420
D. Rs. 400 42. 4 men and 6 women can do a work
in 8 days. 3 men and 7 women can do
38. Kim can do a work in 3 days while that work in 10 days. Only 20 women
David can do the same work in 2 days. will finish the same work in?
Both of them finish the work together A. 36
and get Rs. 150. What is the share of B. 32
Kim? C. 24
A. Rs. 30 D. 20
B. Rs. 60
C. Rs. 70 43. A can build 3 software packages in
D. Rs. 75 48 days and B can build 4 software
packages in 48 days. If, with the help of
39. A alone can do a piece of work in 6 C, they can build 5 software packages in
days and B alone in 8 days. A and B 20 days, then C alone can build 5
undertook to do it for Rs. 3200. With the software packages in?
help of C, they completed the work in 3 A. 42 days
days. How much is to be paid to C? B. 48 days
A. Rs. 375 C. 36 days
B. Rs. 400 D. 38 days
C. Rs. 600
D. Rs. 800 44. A builder decided to form a house in
45 days. He employed 150 workers in
40. 2 men and 3 women finish 25% of the beginning and 120 more workers
the work in 4 days, while 6 men and 14 after 30 days and finished the contract in
women can finish the whole work in 5 time. If he had not employed the extra
days. In how many days will 20 women workers, how many days behind the
finish it? schedule work has been finished?
A. 20 A. 57 days

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 B. 23 days B. 8 hrs.
C. 18 days C. 8 hrs. 15 min.
D. 12 days D. 8 hrs. 25 min
49. A machine P can print one lakh
45. A contractor undertakes a contract of books in 8 hours; machine Q can print
12 km long tunnel in 350 days with 45 the same number of books in 10 hours
workers. After 200 days he found that while machine R can print them in 12
only 4.5 km tunnel has been finished. hours. All the machines are started at 9
Find number of extra workers he must A.M. while machine P is closed at 11
employee to finish the tunnel in time. A.M. and the remaining two machines
A. 100 complete work. Approximately at what
B. 55 time will the work (to print one lakh
C. 45 books) be finished?
D. 145 A. 11:30 am
B. 12:00 noon
46. A contractor undertook to do a C. 12:30 pm
certain work in 75 days and employed D. 1:00 pm
60 men to do it. After 25 days he found
that only one-fourth of the work was 50. Sonu can do a piece of work in 20
done. How many more men must be days. He started the work and left after
employed in order that the work may be some days, when 25% work was done.
finished in time?  After that Abhijeet joined and
A. 34 completed it working for 10 days. In
B. 38 how many days Sonu and Abhijeet can
C. 35 do the complete work, working
D. 30 together?
47. Some carpenters promised to do a A. 6
job in 9 days but 5 of them were absent B. 8
and remaining men did the job in 12 C. 10
days. The original number of carpenters D. 12
was
A. 24 51. A takes three times as long as B and
B. 20 C together to do a job. B takes four times
C. 16 as long as A and C together to do the
D. 18 work. If all the three, working together
can complete the job in 24 days, then the
48. Ram and Shyam are working on an number of days, A alone will take to
Assignment. Ram takes 6 hours to type finish the job is:
32 pages on a computer, while Shyam A. 100
takes 5 hours to type 40 pages. How B. 96
much time will they take working C. 95
together on two different computers to D. 90
type an assignment of 110 pages?
A. 7 hrs. 30 min

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52. Jyothi can do 3/4 of a job in 12 days. A. 30days
Mala is twice as efficient as Jyothi. In B. 24days
how many days will Mala finish the job? C. 25days
A. 6 days D. 28days
B. 8 days
C. 12 days 57. In a camp, there is a food for 400
D. 16 days students for 30 days but after 20 days,
200 students left. For how many more
53. Lal singh can eat 50 laddoos in 4 days the food will last now?
hours and Pal singh can eat 42 laddoos A. 10 days
in 6 hours. If both of them start together, B. 30 days
then what is the total time required by C. 40 days
them to eat 507 laddoos? D. 20 days
A. 20 hours
B. 21 hours 58. Milinda takes 8 1/3 hours more when
C. 26 hours she works alone in comparison of when
D. 25 hours she works with Bill. While Bill takes 5 1/3
hours more when he work alone in
54. A can do a work in 15 days and B comparison of when he works with
can do it in 18 days. With the help of C, Milinda. How long it will take by Bill to
all of them complete the work In 6 days. complete the work alone?
A, B and C received total Rs.27,000 for A. 10 hrs
the whole work. What is the share of C, B. 15 hrs
If the money is distributed in the ratio of C. 18 hrs
amount of work done, individually? D. 12 hrs
A. Rs. 2700
B. Rs. 14400 59. Jay and Anup can do a job, each
C. Rs. 7200 working alone in 30 and 15 days
D. Rs. 6300 respectively. Jay started the work and
after a few days, Anup joined him. They
55. A can make 10000 papers in an hour completed the work in 18 days from the
B can make 8000 papers in an hour. Find start. After how many days did Anup
in how many days they both can make joind Jay?
5,90,000 papers, if A do work for 7 hours A. 6
and B do work for 6 hours? B. 10
A. 4days C. 12
B. 3days D. 14
C. 5days
D. 6days 60. If A and B work together, they will
complete a job in 7.5 days. However,
56. 1 man or 2 women or 3 children can if A works alone and completes half the
do a work in 55 days. Find in how many job and then B takes over and completes
days 1 man and 1 woman and 1 child the remaining half alone, they will be
can do the work? able to complete the job in 20 days. How

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long will B alone take to do the job
if A is more efficient than B?
A. 20 days
B. 40 days
C. 36 days
D. 30 days

Pipe & Cistern opened simultaneously, after how much

time second pipe should be closed so
that the tank is full in 18 minutes?
1. A can fill a tank in 10 minutes. B can
A. 4 min
empty it in 15 minutes. If both the taps
B. 8 min
operate simultaneously, how much time
C. 12 min
is needed to fill the tank?
D. 16 min
A. 10 min
B. 60 min
5. A cistern has a leak which would
C. 30 min
empty it in 8 hrs. A tap is turned ON
D. 15 min
which admits 6L/min into cistern, now
it would empty in 12 hrs. Find the
2. Three tapes A, B and C can fill an
capacity of cistern.
overhead tank in 4, 6 and 12 minutes
A. 144 L
respectively. How long would the three
B. 1440 L
taps take to fill the tank if all of them are
C. 4320 L
opened together?
D. 8640 L
A. 1 min
B. 2 min
6. A cistern has a leak which would
C. 4 min
empty it in 4 hrs. A tap is turned ON
D. 6 min
which admits 3 L/min into cistern, now
it would empty in 6 hrs. Find the
3. A water tank can filled by a tap in 30
capacity of cistern.
minutes and another tap can fill it in 60
A. 7200 L
minutes. If both the taps are kept open
B. 2160 L
for 5 minutes and then the first tap is
C. 720 L
closed. How much time 2nd tap will
D. 360 L
take to fill the remaining tank?
A. 15 min
7 : Two pipes can fill a tank in 15 and 12
B. 20 min
hrs resp. Third pipe can empty it in 4
C. 25 min
hrs. If the pipes are open in the order of
D. 45 min
8AM, 9AM and 11AM resp. How soon
the tank will be empty?
4. Two pipes P and Q can fill a tank in
A. 2 : 40 pm
24 minutes and 32 minutes
B. 3 : 40 pm
respectively. If both the pipes are

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 C. 4 : 40 pm 12. Pipe A can fill the tank in 8 hours
D. 3 : 20 pm and pipe B can fill it in 12 hours. If pipe
A is opened at 7:00 am and pipe B is
8. Two pipes can fill a tank in 3 and 4 opened at 9:00 am, then at what time
hrs resp. Third pipe can empty it in 1 will the tank be full?
hrs. If the pipes are open in the order of A. 12:00 PM
3, 4 and 5 pm resp. How soon the tank B. 12:30 PM
will be empty? C. 11:48 PM
A. 2:12 pm D. 12:36 PM
B. 5: 12 pm
C. 6:12 pm
D. 7:12 pm 13. Two pipes can independently fill a
9. There are 6 filling pipes each can fill a bucket in 20 minutes and 25 minutes.
tank in 16 minutes and 4 empty pipes Both are opened together for 5 minutes
each can empty same tank in 20 min . If after which the second pipe is turned
all pipes are open together and as a off. What is the time taken by the first
result tank is filled by 14 L/min. Find pipe alone to fill the remaining portion
capacity of tank. of the bucket?
A. 24 L A. 11 min
B. 40 L B. 16 min
C. 80 L C. 20 min
D. 84 L D. 15 min

10. A tank has two pipes, one can fill it 14. Having the same capacity 9 taps fill
in 45 min and other can empty it in 1 hr. up a water tank in 20 minutes. How
How soon the tank will be full, if the many taps of the same capacity are
pipes are open on alternate min. required to fill up the same water tank
A. 360 min in 15 minutes?
B. 353 min A. 10
C. 180 min B. 12
D. 176 min C. 15
D. 18
11. A, B and C pipes are connected to a
tank. A and B can fill it in 20 and 30 min 15. A cistern is provided with two pipes
resp. While C can empty it in 15 min. A and B. A can fill it in 20 minutes and B
How soon the tank will be full, if the can empty it in 30 minutes. If A and B be
pipes are open on alternate min. kept open alternatively for one minute
A. 55 min each, how soon will the cistern be filled?
B. 52 min A. 121 minutes
C. 165 min B. 110 minutes
D. 167 min C. 115 minutes
D. 120 minutes

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16. Two pipes A and B can fill a tank 20. 8 taps are fitted to a water tank.
with water in 30 minutes and 45 Some of them are water taps to fill the
minutes respectively. The third pipe C tank and the remaining are outlet taps
can empty the tank in 36 minutes. First used to empty the tank. Each water tap
A and B are opened. After 12 minutes C can fill the tank in 12 hours and each
is opened. Total time (in minutes) in outlet tap an empty it in 36 hours. On
which the tank will be filled up is: opening all the taps, the tank is filled in
A. 12 min 3 hours. Find the number of water taps.
B. 24 min A. 5
C. 30 min B. 4
D. 36 min C. 3
17. Two pipes A and B can fill a tank in D. 2
15 hours and 20 hours respectively
while a third pipe C can empty the full
tank in 25 hours. All the three pipes are
opened in the beginning. After 10 hours
C is closed. Find, in how much time will
the tank be full?
A. 12 hrs
B. 8 hrs
C. 10 hrs
D. 14 hrs

18. Three pipes A, B and C can fill a tank

in 6 minutes, 8 minutes and 12 minutes
respectively. The pipe C is closed 6 High Level Mixed Questions
minutes before the tank is filled. In what
time will the tank be full? 1. Number of units of a good that can be
A. 6 min produced by a factory is directly
B. 4 min proportional to the square of the
C. 5 min number of workers, square root of the
D. Data inadequate number of machines and to the number
of hours put in. The factory produces
19. Two pipes A and B can fill a tank in 200 goods when 4 people work for 8
36 minutes and 48 minutes respectively. hours each with 4 machines. When 3
If both the pipes are opened people work for 12 hours each with 9
simultaneously, after how much time machines, how many goods will be
should B be closed so that the tank is produced?
full in 27 minutes? A. K = 25/32
A. 10 min B. K = 100/163
B. 12 min C. K = 25/256
C. 14 min D. K = 16/29
D. 16 min

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2. A certain number of pages need to be 5. Anuj, Bibhuti and Chandu can lay 432
typed. A, B and C are assigned to do this m of wires together in 8 days. In a day,
job. However, C leaves after 4 days Chandu can lay as many more meters of
when 40% of the job was complete. In wire than Bibhuti as Bibhuti can lay
this way, it takes 13 days to finish the more than Anuj. Chandu’s 5 days of
job. Also, B can type twice as fast as A. work is equivalent to Anuj’s 7 days of
How much would the fastest worker work. How many meters of wire can
take to type the entire set of pages Anuj alone lay in a day?
alone? A. 9 m
A. 22.5 days B. 15 m
B. 45 days C. 18 m
C. 30 days D. 21 m
D. 20 days
6. Consider three friends A, B and C
3. A, B and C are to make 100 toys. In a who work at differing speeds. When the
day, they can together make 25 toys. A slowest two work together they take n
starts to work alone and makes 32 toys days to finish a task. When the quickest
in some days. A then leaves and B and C two work together they take m days to
works to make the remaining toys. It finish a task. One of them, if he worked
takes 8 days overall to make the 100 alone would take thrice as much time as
toys. How many days will it take for A it would take when all three work
to make 256 toys alone? together. How much time would it take
A. 16 days if all three worked together?
B. 32 days A. 3mn/2(m+n)
C. 64 days B. 2mn/(m+n)
D. 30 days C. 4mn/3(m+n)
D. 5mn/3(m+n)
4. Amar, Akbar and Anthony set out to
complete a work. Anthony being the 7. A drain pipe can drain a tank in 12
eldest would take 1 day less than Amar hours, and a fill pipe can fill the same
if he were to complete the work alone. tank in 6 hours. A total of n pipes –
All three together could complete the which include a few fill pipes and the
work in a day. However, Anthony was remaining drain pipes – can fill the
kidnapped by Shakal. Amar and Akbar entire tank in 2 hours. How many of the
began the work in his absence. After a following values could ‘n’ take?
day, Amar was also kidnapped. Akbar ● 24
took 3 more days to finish the work. ● 16
How much portion of the work ● 33
Anthony could do in a day? ● 13
A. 2/3 ● 9
B. 1/6 ● 8
C. 1/2
D. 1/3 A. 3
B. 4

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 C. 2 left and right inlets are used, it takes 12
D. 1 mins to charge. What is the fastest
possible time in which the iphone16 can
8. A fill pipe can fill a tank in 20 hours, a be fully charged?
drain pipe can drain a tank in 30 hours. A. 12 min
If a system of n pipes (fill pipes and B. 8 min
drain pipes put together) can fill the C. 11 min
tank in exactly 5 hours, which of the D. 10 min
following are possible values of n (More
than one option could be correct)? 10. A cistern of 475 litres is completely
1. 32 filled using pipes A and B, with Pipe A
2. 54 being open for 5 more hours than pipe
3. 29 B. If we are to interchange the operating
4. 40 hours of the two pipes than pipe A
would have pumped half the water as
A. 1 and 2 only much as pipe B, then find the time for
B. 1 and 3 only which pipe B was open. Also, given that
C. 2 and 4 only if the two pipes were open
D. 2 and 3 only simultaneously the tank would fill in 19
hours.
9. It’s year 2025 and iphone16 has just A. 10 hrs
been launched. Apple has claimed that B. 14 hrs
it is the best iPhone they have created so C. 16 hrs
far. It’s 4 charging inlets have D. 20 hrs
completely revolutionized the mobile
market. If only top and bottom inlets are
used, it takes 20 mins to fully charge. If
the right, left and bottom inlet are used,
it takes 15 mins to fully charge. If top,

2. A train is moving with a speed of 30

Time speed and distance m/s. Its speed is (in km/h)
A] 72 km/h
[LEVEL – 1] B] 100 km/h
C] 120 km/h
1. A train is moving with a speed of 90 D] 108 km/h
km/h. Its speed is (in m/s)
A] 25 m/s 3. A train travels at 40 km/hr. How
B] 30 m/s many meters will it travel in 18 seconds?
C] 40 m/s A] 210 m
D] 50 m/s B] 200 m
C] 250 m
D] 350 m

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4. An athlete runs 200 meters race in 24 9. 3 person A, B and C covers a distance
seconds. His speed is at 10 km/hr ,12 km/hr and 15 km/hr.
A] 20 km/hr the average speed is:
B] 24 km/hr A] 11 km/hr
C] 28.5 km/hr B] 12 km/hr
D] 30 km/hr C] 7 km/hr
D] 13 km/hr
5. A man riding his bicycle covers 150
meters in 25 seconds. What is his speed 10. A man completes 30 km of a journey
in km/hr? at 6 km/hr and the remaining 40 km of
A] 20 km/hr the journey in 5 hours. His average
B] 21.6 km/hr speed for the whole journey is
C] 23 km/hr A] 6 km/hr
D] 25km/hr B] 7 km/hr
6. In what time can Sonali cover a C] 7 km/hr
distance of 400 m, if she runs at a speed D] 8 km/hr
of 20 km/hr?
11. A car covers a distance of 720 km at
A] 1 min a constant speed. If the speed of the car
B] 1 min would have been 10 km/hr more, then
C] 2 min it would have taken 1 hr less to cover
D] 3 min the same distance. What is the original
speed of the car?
7. A person starting from his house A] 90 km/hr
covers a distance at 20 km/hr and B] 80 km/hr
returns to the starting place at 30 C] 85 km/hr
km/hr. His average speed during whole D] 75 km/hr
journey is
A] 25 km/hr 12. A car covers a distance of 715 km at
B] 24 km/hr a constant speed. If the speed of the car
C] 27 km/hr would have been 10 km/hr more, then
D] 22 km/hr it would have taken 2 hrs less to cover
the same distance. What is the original
8. A person starting from his house speed of the car?
covers a distance at 15 km/hr and A] 45 km/hr
returns to the starting place at 10 B] 50 km/hr
km/hr. His average speed during whole C] 55 km/hr
journey is D] 65 km/hr
A] 11 km/hr
B] 12 km/hr 13. A man covers 1/3 of his journey at
C] 7 km/hr 40 km/hr and the remaining at 20
D] 13 km/hr km/hr. He takes 15 hours in total
journey. The distance total journey is?

15 | Page
A] 300 km 18. The speed of A and B are in the ratio
B] 360 km 3:4. A takes 20 minutes more than B to
C] 240km reach the destination. How much time
D] 120 km will take A?
A] 1 hrs
14. A man covers 1/4 of his journey at B] 2 hrs
20 km/hr and the remaining at 30
km/hr. He takes 15 hours in total C] 1 hrs
journey. The distance total journey is? D] 2 hrs
A] 400 km
B] 460 km 19. The distance between two stations A
C] 440km and B is 440 km. A train starts at 4 p.m.
D] 420 km from A and move towards B at an
average speed of 40 km/hr. Another
15. A student walks from his house at 10 train starts B at 5 p.m. and moves
km/hr and reaches his school late by 6 towards A at an average speed of 60
minutes. Next day, he increases his km/hr. How far from A will the two
speed by 15 km/hr and reaches 4 trains meet and at what time?
minutes before school time. How far is A] 200, 8 p.m.
the school from his house? B] 300, 9 p.m.
A] 12 km C] 200, 9 p.m.
B] 8 km D] 300, 8 p.m.
C] 5 km
D] 10 km 20. The distance between two stations A
and B is 365 km. A train starts at 10 a.m.
16. If a student walks from his house to from A and move towards B at an
school at 5km/hr, he is late by 30 average speed of 65 km/hr. Another
minutes. However, if he walks at 6 train starts B at 11 a.m. and moves
km/hr, he is late by 5 minutes only. The towards A at an average speed of 35
distance of his school from his house is km/hr. How far from B will the two
A] 2.5 km trains meet and at what time?
B] 3.6 km A] 105, 2 p.m.
C] 5.5 km B] 100, 4 p.m.
D] 12.5 km C] 100, 2 p.m.
D] 105, 5 p.m.
17. Walking at 7/8 of its usual speed, a
train is 10 minutes too late. Find its
usual time to cover the journey. [LEVEL – 2]
A] 60 min
B] 70 min 1. Excluding stoppages, the speed of a
C] 50 min bus is 54 kmph and including
D] 40 min stoppages, it is 45 kmph. For how many
minutes does the bus stop per hour?
A] 8 minutes

16 | Page
B] 10 minutes 6. In a flight of 600 km, an aircraft was
C] 12 minutes slowed down due to bad weather. Its
D] 14 minutes average speed for the trip was reduced
by 200 km/hr and the time of flight
2. A train without stoppages travels at increased by 30 minutes. The duration
the rate of 50 km/hr and stoppages it of the flight is:
travels at 45 km/hr. How many minutes A] 1 hour
does train stop on an average per hour? B] 2 hours
A] 5 min C] 3 hours
B] 6 min D] 4 hours
C] 8 min
D] 10 min 7. A man completes a journey in 10
hours. He travels first half of the journey
3. An aeroplane covers a certain at the rate of 21 km/hr and second half
distance at a speed of 240 kmph in 5 at the rate of 24 km/hr. Find the total
hours. To cover the same distance in 1 journey in km.
hour, it must travel at a speed of: A] 220 km
A] 300 kmph B] 224 km
B] 360 kmph C] 230 km
C] 600 kmph D] 234 km
D] 1200 kmph
8. A Man travelled a distance of 61 km
4. If a person walks at 14 km/hr instead in 9 hours. He travelled partly on foot at
of 10 km/hr, he would have walked 20 4 km/hr and partly on bicycle at 9
km more. The actual distance travelled km/hr. What is the distance travelled
by him is: on foot?
A] 50 km A] 16 km
B] 56 km B] 4 km
C] 70 km C] 12 km
D] 80 km D] 10 km

5. A train can travel 50% faster than a 9. A man on tour travels first 160 km at
car. Both start from point A at the same 64 km/hr and the next 160 km at 80
time and reach point B 75 kms away km/hr. The average speed for the first
from A at the same time. On the way, 320 km of the tour is:
however, the train lost about 12.5 A] 35.55 km/hr
minutes while stopping at the stations. B] 36 km/hr
The speed of the car is: C] 71.11 km/hr
A] 100 kmph D] 71 km/hr
B] 110 kmph
C] 120 kmph 10. A car travelling with 2/3 of its actual
D] 130 kmph speed covers 42 km in 1 hr 40 min 48
sec. find the actual speed of the car.
A] 11 km/hr

17 | Page
B] 25 km/hr D] 17 km
C] 55 km/hr
D] 37.5 km/hr 15. A man covered a certain distance at
some speed. Had he moved 3 kmph
11. In covering a distance of 30 km, faster, he would have taken 40 minutes
Abhay takes 2 hours more than Sameer. less. If he had moved 2 kmph slower, he
If Abhay doubles his speed, then he would have taken 40 minutes more. The
would take 1 hour less than Sameer. distance (in km) is:
Abhay's speed is: A] 35
A] 5 kmph B] 36
B] 6 kmph C] 37
C] 6.25 kmph D] 40
D] 7.5 kmph
16. Robert is travelling on his cycle and
12. Robert is travelling on his cycle and has calculated to reach point A at 2 P.M.
has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach
if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph.
there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A
At what speed must he travel to reach A at 1 P.M.?
at 1 P.M.? A] 9 km/hour
A] 8 kmph B] 10 km/hour
B] 11 kmph C] 11 km/hour
C] 12 kmph D] 12 km/hour
D] 14 kmph
17. A person travels from P to Q at a
13. It takes eight hours for a 600 km speed of 40 km/hr and returns by
journey, if 120 km is done by train and increasing his speed by 50%. What is his
the rest by car. It takes 20 minutes more, average speed for both the trips?
if 200 km is done by train and the rest A] 44 km/hour
by car. The ratio of the speed of the train B] 46 km/hour
to that of the cars is: C] 48 km/hour
A] 2: 3 D] 50 km/hour
B] 3: 2
C] 3: 4 18. The distance between two cities A
D] 4: 3 and B is 330 Km. A train starts from A at
8 a.m. and travel towards B at 60 km/hr.
14. A farmer travelled a distance of 61 Another train starts from B at 9 a.m. and
km in 9 hours. He travelled partly on travels towards A at 75 Km/hr. At what
foot @ 4 km/hr and partly on bicycle @ time do they meet?
9 km/hr. The distance travelled on foot A] 10 am
is: B] 11 am
A] 14 km C] 12 pm
B] 15 km D] 1pm
C] 16 km

18 | Page
19. A man in a train notices that he can C] 14 m/s
count 41 telephone posts in one minute. D] 13.2 m/s
If they are known to be 50 meters apart,
then at what speed is the train 3. Three cars leave A for B in equal time
travelling? intervals. They reach B simultaneously
A] 60 km/hr and then leave for Point C which is 240
B] 100 km/hr km away from B. The first car arrives at
C] 110 km/hr C an hour after the second car. The third
D] 120 km/hr car, having reached C, immediately
turns back and heads towards B. The
20. A train travelled at an average speed first and the third car meet a point that
of 100 km/hr, stopping for 3 minutes is 80 km away from C. What is the
after every 75 km. How long did it take difference between the speed of the first
to reach its destination 600 km from the and the third car?
starting point? A] 60 kmph
A] 6 hours 24 mins B] 20 kmph
B] 6 hours 21 mins C] 40 kmph
C] 6 hours 18 mins D] 80 kmph
D] 6 hours 15 mins
4. Bus B left town P for town Q at 6
a.m.@ 36kmph. While another bus C left
[LEVEL –3] town Q for town P at 7: 30 a.m.
@24kmph. At what would they be 12
1. Two friends A and B simultaneously km apart of distance between P and Q is
start running around a circular track. 72km?
They run in the same direction. A A] 7:32 a.m.
travels at 6 m/s and B runs at b m/s. If B] 7:36 a.m.
they cross each other at exactly two C] 7:40 a.m.
points on the circular track and b is a D] 7:48 a.m.
natural number less than 30, how many
values can b take? 5. A has covered 1/3 of total distance
A] 3 when his scooter failed. he parked it and
B] 4 cover the remaining distance by foot
C] 7 walking 22 times as much time as
D] 5 riding. How many times his riding
speed more than his walking speed?
2. Two guns were fired from the same place A] 9
at an interval of 13 minutes but a person in B] 20
a train approaching the place hears the C] 19
second report 12 minutes 30 seconds after D] 10
the first. Find the speed of the train in m/s,
supposing that sound travels 330 metres per
6. Three friends A, B and C decide to
second?
run around a circular track. They start at
A] 12 m/s
the same time and run in the same
B] 13 m/s

19 | Page
direction. A is the quickest and when A they crossed each other how long in
finishes a lap, it is seen that C is as much minutes police will catch the thief?
behind B as B is behind A. When A A] 30
completes 3 laps, C is the exact same B] 36
position on the circular track as B was C] 42
when A finished 1 lap. Find the ratio of D] 45
the speeds of A, B and C?
A] 5 : 4 : 2 10. Two men A and B started walking
B] 4 : 3 : 2 towards each other’s starting point
C] 5 : 4 : 3 simultaneously from two points X and Y
D] 3 : 2 : 1 which are 12 km apart. They meet after
1 hr. After meeting A increased his
7. A father starts from home at 3:00 p.m. speed by 6kmph. B reduced his speed
to pick his son from school at 4 pm. One by 6 kmph. They arrived at their
day the school got over early, at 3:00 destinations simultaneously. Find the
p.m. The son starts walking home. He initial speed of A?
met his father on the way and both A] 2 kmph
returned 15 minutes early then the usual B] 3 kmph
time. If speed of father is 35kmph then C] 4 kmph
find speed of son in kmph? D] 5 kmph
A] 4
B] 5 11. Mr. X decides to travel from Delhi to
C] 6 Gurgaon at a uniform speed and
D] 7 decides to reach Gurgaon after T hr.
After 30 km, there is some engine
8. PQ is a tunnel. A dog sits at the malfunction and the speed of the car
distance of 5/ 11 of PQ from P. The train becomes (4/5)th of the original speed. So,
whistle coming from any end of the he travels the rest of the distance at a
tunnel would make the dog run. If a constant speed (4/5)th of the original
train approaches P and dog runs speed and reaches Gurgaon 45 minutes
towards P the train would hit the dog at late. Had the same thing happened after
P. If the dog runs towards Q instead, it he travelled 48 km; he would have
would hit the dog at Q. Find ratio of reached only 36 minutes late. What is
speed of train and dog? the distance between Delhi and
A] 5:2 Gurgaon?
B] 16:5 A] 90 km
C] 11:1 B] 120 km
D] 34:3 C] 20 km
D] 40 km
9. A police man was travelling @
90kmph. He crosses a thief travelling @ 12. A thief is spotted by a policeman
60kmph in opposite direction. He had to from a distance of 100 m. When the
travel for another 6 minutes before he policeman starts the chase, the thief also
would U turn and chase the thief? After starts running. If the speed of the thief 8

20 | Page
km/hr and that of the policeman 10 15. A train reaches a station at a certain
km/hr, how far the thief will have run time and at a fixed speed. If the train
before he is overtaken? had been 6 km/hr faster, it would have
A] 200 m taken 4 hours less than the scheduled
B] 300 m time. And, If the train were slower by 6
C] 400 m km/hr, then would have taken 6 hours
D] 500 m more than the scheduled time. The
length of journey is:
13. Tom, Jerry and Bill start from A] 700
point A at the same time in their cars to B] 720
go to B. Tom reaches point B first and C] 740
turns back and meets Jerry at a distance D] 760
of 9 miles from B. When Jerry reaches B,
he too turns back and meets Bill at a 16. If the train had been 10 km/hr faster,
distance of 7 miles from B. If 3 times the it would have taken 2 hours less than
speed with which Tom drives his car is the scheduled time. And, If the train
equal to 5 times Bill’s speed, what could were slower by 12 km/hr, then would
be the distance between the points A have taken 3 hours more than the
and B? scheduled time. The length of journey is:
A] 40 miles A] 2000
B] 24 miles B] 2200
C] 31 miles C] 2400
D] 63 miles D] 2600

14. A bus starts from a bus stop P and 17. A train after running 100 km meet
goes to another bus stop Q. In between with an accident and then run at 3/5th
P and Q, there is a bridge AB of certain of its former speed and reaches the
length. A man is standing at a point C destination late by 48 min. If the
on the bridge such that AC: CB = 1:3. accident had happened 30 km further it
When the bus starts at P and if the man will be late by 24 min. Find speed of
starts running towards A, he will meet train.
the bus at A. But if he runs towards B, A] 125 km/hr
the bus will overtake him at B. Which of B] 150 km/hr
the following is true? C] 100 km/hr
A] Bus travels 3x times faster than the D] 50 km/hr
man
B] Bus travels 2x times faster than the 18. Cities M and N are 600km apart. Bus
man A starts from city M towards N at 9AM
C] The bus and the man travel at the and bus B starts from city N towards M
same speed at the same time. Bus A travels the first
D] 4x the speed of the man is equal to 3x one-third of the distance at a speed of
the speed of the bus 40kmph, the second one-third at
50kmph and the third one-third at
60kmph. Bus B travels the first one-third

21 | Page
of the total time taken at a speed of 20. A train leaves Delhi at 6 AM and
40kmph, the second one-third at reaches Agra at 10 AM. Another train
50kmph and the third one-third at leaves Agra at 8 AM and reaches Delhi
60kmph. When and where will the two at 11:30 AM. At what time the trains will
buses cross each other? cross each other?
A] 300 kms from M A] 8 : 32 AM
B] 280 kms from M B] 8 : 48 AM
C] 305 kms from M C] 8 : 52 AM
D] 295 kms from M D] 8 : 56 AM

19. Distance between two stations A and

B is 208 km. A train starts from station A
at 10 AM with 30 km/h and another
starts from B at 1:20 noon with 24 km/h.
When the train will meet and how far
from station A?
A] 2:20 PM, 120 km
B] 3:20 PM, 160 km
C] 2:20 PM, 160 km
D] 3:20 PM, 120 km

Problems on Trains, Boats and Steams

3. A train 240 m long passes a pole in 24
[Problems on Trains] seconds. How long will it take to pass a
platform 650 m long?
1. A train running at the speed of 60 A] 65 sec
km/hr crosses a pole in 9 seconds. What B] 89 sec
is the length of the train? C] 100 sec
A] 120 m D] 150 sec
B] 180 m
C] 324 m 4. A train passes a station platform in 36
D] 150 m seconds and a man standing on the
platform in 20 seconds. If the speed of
2. The length of the bridge, which a train the train is 54 km/hr, then what is the
130 metres long and travelling at 45 length of the platform?
km/hr can cross in 30 seconds, is: A] 200 m
A] 200 m B] 240 m
B] 225 m C] 300 m
C] 245 m D] 864 m
D] 250 m

22 | Page
5. A train 125 m long passes a man, platform of length 180 m in 18 sec. then
running at 5 km/hr in the same find the length of the train?
direction in which the train is going, in A] 175 m
10 seconds. The speed of the train is: B] 180 m
A] 45 km/hr C] 185 m
D] 170 m

10. The two trains of lengths 400 m, 600

B] 50 km/hr m respectively, running at same
C] 54 km/hr directions. The faster train can cross the
D] 55 km/hr slower train in 180 sec, the speed of the
slower train is 48 km. then find the
6. A train 110 metres long is running speed of the faster train?
with a speed of 60 kmph. In what time A] 58 Kmph
will it pass a man who is running at 6 B] 68 Kmph
kmph in the direction opposite to that in C] 78 Kmph
which the train is going? D] 55 Kmph
A] 5 sec
B] 6 sec 11. Two trains, each 100 m long, moving
C] 7 sec in opposite directions, cross each other
D] 10 sec in 8 seconds. If one is moving twice as
fast the other, then the speed of the
7. A 300-meter-long train crosses a faster train is:
platform in 39 seconds while it crosses a A] 30 Kmph
signal pole in 18 seconds. What is the B] 45 Kmph
length of the platform? C] 60 Kmph
A] 150 m D] 75 Kmph
B] 200 m
C] 350 m 12. Two trains are running in opposite
D] 400 m directions with the same speed. If the
length of each train is 120 metres and
8. The length of a train and that of a they cross each other in 12 seconds, then
platform are equal. If with a speed of 90 the speed of each train (in km/hr) is:
k/hr, the train crosses the platform in A] 10 Kmph
one minute, then the length of the train B] 18 Kmph
(in meters) is: C] 36 Kmph
A] 850 D] 72 Kmph
B] 525
C] 550 13. A jogger running at 9 kmph
D] 750 alongside a railway track in 240 metres
ahead of the engine of a 120 metres long
9. A train crosses a platform of 120 m in train running at 45 kmph in the same
15 sec; same train crosses another direction. In how much time will the
train pass the jogger?

23 | Page
A] 3.6 sec D] None of these
B] 18 sec
C] 36 sec 18. A train overtakes two persons who
D] 72 sec are walking in the same direction in
which the train is going, at the rate of
14. Two trains running in opposite 2 kmph and 4 kmph and passes them
directions cross a man standing on the completely in 9 and 10 seconds
platform in 27 seconds and 17 seconds respectively. The length of the train is:
respectively and they cross each other in A] 45m
23 seconds. The ratio of their speeds is: B] 50m
A] 1 : 3 C] 54m
B] 3 : 2 D] 72m
C] 3 : 4
D] None of these 19. A train travelling with 54kmph
takes 20 sec to cross the bridge.
15. Two trains travel in the same Another train 70 metre shorter crosses
direction at 56 kmph and 29 kmph the same bridge at 36kmph. Find the
respectively. The faster train passes a time taken by the second train to cross
man in the slower train in 16 seconds. the bridge.
Find the length of the faster train. (all in A] 23 sec
meter) B] 24 sec
A] 432 C] 25 sec
B] 80 D] 26 sec
C] 150
D] 120 20. Two trains are moving in opposite
direction having speed in the ratio 5:7.
16. The length of two trains is 250m and First train crosses a pole in 12 sec and
300m respectively. Their speeds are 70 the second train crosses the same pole in
kmph and 79 kmph and both are 15 sec. Find the in which they can cross
running in same direction then find the each other completely.
time in which faster moving train can A] 55/4 sec
cross a person who is sitting in slow B] 53/4 sec
moving train. C] 57/4 sec
A] 120 sec D] 59/4 sec
B] 90 sec
C] 110 sec 21. A 270m long train running at the
D] None of these speed of 120 kmph crosses another train
running in opposite direction at the
17. A train can cross 162m long platform speed of 80 kmph in 9 second. What is
in 18 sec and 120m long platform in 15 the length of other train?
sec then find the length of train. A] 180m
A] 100m B] 230m
B] 90m C] 245m
C] 120m D] 235m

24 | Page
 26. A train has 20 compartments and an
22. Two, trains, one from Howrah to engine. Length of each compartment is
Patna and the other from Patna to 10m and length of engine is 15m. The
Howrah, start simultaneously. After gap between engine and compartment
they meet, the trains reach their and between each compartment is 1m;
destinations after 9 hours and 16 hours the speed of train is 60 kmph and can
respectively. The ratio of their speeds is: cross a platform in 90 sec. find the
A] 2: 3 length of platform.
B] 4: 3 A] 1265m
C] 6: 7 B] 1250m
D] 9: 16 C] 1320m
D] None of these
23. A train running at 45 kmph takes 36
sec to pass a platform. Next, the train 27. A train can cross a person who is
takes 12 sec to pass a man walking at the running with a speed of 6 kmph in the
speed of 15 kmph in the same direction. same direction. The person can see the
Find the length of platform. train for 2 minutes and after that the
A] 250m train becomes out of sight and at that
B] 300m moment the distance between train and
C] 350m that person is 1.2 km then find the speed
D] 400m of train.
A] 52 kmph
24. Two trains of length 100m and 125m B] 40 kmph
are travelling at a speed of 45kmph and C] 42 kmph
60kmph respectively in same direction. D] None of these
In what time they will completely cross
each other. 28. Two stations P and Q are 400 km
A] 52 sec apart from each other. One train starts
B] 54 sec from P at a speed of 60 kmph towards Q
C] 56 sec and after 2 hr another train starts from
D] 58 sec Q towards P at 45 kmph. At what
distance from P the train will meet.
25. Two stations A and B are 110 km A] 220 km
apart on a straight line. One train starts B] 240 km
from A at 7 a.m. and travels towards B C] 260 km
at 20 kmph. Another train starts from B D] 280 km
at 8 a.m. and travels towards A at a
speed of 25 kmph. At what time will 29. Two trains A and B start from
they meet? Howrah and Patna towards Patna and
A] 9 a.m. Howrah respectively at the same time.
B] 10 a.m. After passing each other they take 4 h 48
C] 10.30 a.m. min and 3 h 20 min to reach Patna and
D] 11 a.m. Howrah respectively. If the train from

25 | Page
Howrah is moving at 45 km/h, then the B] 16 hr
speed of the other train is C] 8 hr
A] 60 km/h D] 20 hr
B] 45 km/h
C] 35 km/h 4. The current of a stream at 1 kmph. A
D] 54 km/h motor boat goes 35 km upstream and
back to the starting point in 12 hours.
30. A train passes two persons walking The speed of the motor boat in still
in the same direction at a speed of 3 water is?
km/hr and 5 km/hr respectively in 10 A] 8 kmph
seconds and 11 seconds respectively. B] 6 kmph
The speed of the train is C] 7.5 kmph
A] 28 kmph D] 5.5 kmph
B] 27 kmph
C] 25 kmph 5. A man goes down stream with a boat
D] 24 kmph to some destination and returns
upstream to his original place in 5
hours. If the speed of the boat in still
[Boats and Streams] water and the stream are 10km/hr and
4km/hr respectively, the distance of the
1. In one hour, a boat goes 11 km/hr destination from the string place is 
along the stream and 5 km/hr against A] 16 km
the stream. The speed of the boat in still B] 18 km
water (in km/hr) is: C] 21 km
A] 3 kmph D] 25 km
B] 5 kmph
C] 8 kmph 6. A man swims downstream 72 km and
D] 9 kmph upstream 45 km taking 9 hours each
time; what is the speed of the current?
2. A boat running downstream covers a A] 1 kmph
distance of 16 km in 2 hours while for B] 3.2 kmph
covering the same distance upstream, it C] 1.5 kmph
takes 4 hours. What is the speed of the D] 2 kmph
boat in still water?
A] 4 kmph 7. A man's speed with the current is 15
B] 6 kmph km/hr and the speed of the current is
C] 8 kmph 2.5 km/hr. The man's speed against the
D] Data inadequate current is:
A] 8.5 kmph
3. A motor boat takes 12 hours to go B] 9 kmph
downstream and it takes 24 hours to C] 10 kmph
return the same distance. what is the D] 12.5 kmph
time taken by boat in still water? 8. A man takes twice as long to row a
A] 15 hr distance against the stream as to row the

26 | Page
same distance in favour of the stream. C] 2 kmph
The ratio of the speed of the boat (in still D] 2.5 kmph
water) and the stream is:
A] 2 : 1 13. Choose the most appropriate
B] 3 : 1 answer: A boat travels upstream from B
C] 3 : 2 to A and downstream from A to B in 3
D] 4 : 3 hours. If the speed of the boat in still
water is 9 Km/h and the speed of the
9. A motorboat, whose speed in 15 current is 3 Km/h, the distance between
km/hr in still water goes 30 km A and B is
downstream and comes back in a total A] 9 km
of 4 hours 30 minutes. The speed of the B] 10 km
stream (in km/hr) is: C] 11 km
A] 4 D] 12 km
B] 5
C] 6 14. A boat running upstream takes 8
D] 10 hours 48 minutes to cover a certain
distance, while it takes 4 hours to cover
10. A motorboat takes half time to cover the same distance running downstream.
a certain distance downstream than What is the ratio between the speed of
upstream. What is the ratio between rate the boat and speed of the water current
of current and rate of boat in still water? respectively?
A] 1 : 3 A] 2 : 1
B] 3 : 2 B] 3 : 2
C] 2 : 3 C] 8 : 3
D] 3 : 1 D] Cannot be determined
15. A river runs at 4 km/hr. if the time
11. Find the speed of stream if a boat taken by a man to row is boat upstream
covers 36 km in downstream in 6 hours is thrice as the time taken by him to row
which is 3 hours less in covering the it downstream then find the speed of the
same distance in upstream? boat in still water.
A] 1.5 kmph A] 16 kmph
B] 1 kmph B] 8 kmph
C] 0.75 kmph C] 6 kmph
D] 0.5 kmph D] 12 kmph
16. A man can row downstream at 12
12. A man rows to a place 48 km distant Kmph and upstream at 8 Kmph. Find
and come back in 14 hours. He finds the ratio of the speed of the current to
that he can row 4 km with the stream in the speed of the man in still water?
the same time as 3 km against the A] 1 : 5
stream. The rate of the stream is: B] 5 : 24
C] 25: 16
A] 1 kmph D] 16 : 25
B] 1.5 kmph

27 | Page
17. A man can row 40 km upstream and Directions (Questions 1-10): Given two
55 km downstream in 13 hours. Also, he statements, verify the conclusions and mark the
can row 30 km upstream and 44 km answer as given below:
downstream in 10 hours. Find the speed Mark (A) if only conclusion I follows.
of the man in still water?
A] 3 kmph Mark (B) if only conclusion II follows.
B] 8 kmph Mark (C) if both conclusions I & II follow.
C] 5 kmph
D] 11 kmph Mark (D) if no conclusion follows.

1. Statements: All locks are keys.

18. A boat can cover 48 km upstream
and 72 km downstream in 12 hours. All keys are bats.
Also, boat can row 72 km upstream and
48 km downstream in 13 hours. Find the Conclusions:
speed of current? I. Some bats are locks
A] 3 kmph
B] 8 kmph II. Some locks are keys
C] 2 kmph 2. Statements: Some cups are pots.
D] 12 kmph
All pots are tubes.
19. A boat took 8 hr less to travel a
Conclusions:
distance downstream than to travel the
same distance upstream. If the speed o a I. Some pots are cups.
boat in steel water is 9 km/hr and speed
of stream is 3 km/hr. In total how much II. Some tubes are cups.
distance travelled by boat? 3. Statements: All bags are books.
A] 96 km
B] 144 km Some purses are bags.
C] 164 km Conclusions:
D] 192 km
20. A boat can travel 15 km downstream I. Some books are purses.
in 18 min. The ratio of speed boat in
II. Some books are bags
steel water to the speed of stream is 4:1.
How much time will the boat take to 4. Statements: Some cars are jeeps.
cover 10 km upstream?
All pens are cars.
A] 22 min
B] 25 min Conclusions:
C] 20 min
D] 33 min I. No pen is jeep

Syllogism II. Some jeeps are cars.

Level 1 5. Statements: Some cats are dogs.

No dog is cow.

28 | Page
Conclusions: Directions (Questions 11-13): Two statements
are given in each of the following questions,
I. No cow is cat. followed by two conclusions numbered I and II.
You have to take the given two statements to be
II. No dog is cat. true even if they seem to be at variance from
6. Statements: Some Goats are Birds. commonly known facts. Read the conclusions
and then decide which of the given conclusions
All Cars are Goats. logically follows from the two disregarding
known facts.
Conclusions:
Give answer: (A) If only conclusion I follows
I. Some Cars are Birds.
(B) If only conclusion II follows
II. No Bird is Goat.
(C) If either conclusion I or II follows
7. Statements: All Grapes are Bananas.
(D) If neither I nor II follows
All Bananas are Potatoes.
(E) If both conclusions I and II follow
Conclusions:
11. Statements: Some notebooks are books. All
I. Some Potatoes are Bananas. books are papers.

II. Some Grapes are Potatoes. Conclusions:

8. Statements: Some Cats are Rats. I. Some notebooks are papers.

Some Rats are Ants. II. No paper is a notebook.

Conclusions: 12. Statements: All huts are mansions. All

mansions are temples.
I. No Rat is Ant.
Conclusions:
II. No Cat is Ant.
I. Some temples are huts.
9. Statements: All chalks are Dusters.
II. Some temples are mansions.
Some Chalks are Boards.
13. Statements: All pens are pencils. No pencil
Conclusions: is a cap.
I. Some Dusters are Boards. Conclusions:
II. Some Chalks are Dusters. I. All caps are pencils.
10. Statements: Some Bags are Books. II. Some caps are pencils.
All Books are Boxes. 14. Statements: I. All fish are tortoise.
Conclusions: II. No tortoise is a crocodile.
I. All Bags are Boxes. Conclusions: I. No crocodile is fish.
II. No Book is Boxes. II. No fish is a crocodile.

29 | Page
15. Statements: I. All trucks fly. II. All Tuesday are Monday

II. Some scooters fly. 19. Statements: I. All writers are lawyers.

Conclusions: II. All readers are lawyers.

I. All trucks are scooters. Conclusions: I. Some lawyers are readers.

II. Some scooters do not fly. II. Some readers are writers.

16. Statements: 20. Statements: I. All players are doctors.

I. All leaders are good team workers. II. Some doctors are actors.

II. All good team workers are good orators. Conclusions: I. some doctors are players as well
as actors.
Conclusions: I. Some good team workers are
leaders. II. All actors are doctors.

II. All good orators are leaders.

17. Statements: I. Some papers are pens.

Level-2
II. Angle is a paper.
21. Statements: Some Cats are Rats. All bats
Conclusion I. Angle is not a pen. are tables. All Rats are Bats.
II. Angle is a pen. Conclusion: I. Some Cats are bats
Directions (Q. Nos. 18 – 20) two statements are II. All bats are rats
given in each of the following questions,
followed by two conclusions I and II. You have III. All tables are cats
to take the two statements to be true even if they
seem to be at variance from commonly known IV. All bats are cats
facts. Read the conclusions and then decide
A. Only I & II follow
which of the given conclusion logically follows
the given two statements, disregarding the B. Only II follows
known facts.
C. Only I & IV follow
Give answer
D. None of these
(A) If only conclusion I follows
22. Statements: Some ships are boats. All boats
(B) If only conclusion II follows are submarines. Some submarines are
yatches.
(C) If both conclusions I and II follow
Conclusion: I. Some yatches are boats
(D) If none of the conclusion follows
II. Some submarines are boats
18. Statements: I. All Sunday are Monday
III. Some submarines are ships
II. All Monday are Tuesday
IV. Some yatches are ships
Conclusions
A. All follow
I. No Tuesday is Sunday

30 | Page
B. Only II and III follow IV. All Barfi are Jalebi

C. Only III follows A. Only I and II follow

D. Only IV follows B. Only I and III follow

23. Statements: All Carrots are birds. Some C. Only II and III follow
telephones are Carrots. All bedsheets are
telephone. D. All follow

Conclusion: 26. Statements: Some eyes are ears. Some ears

are lungs. All lungs are hands
I. All bedsheet are birds
Conclusion:
II. Some bedsheet are birds
I. Some hands are eyes.
III. Some birds are telephone
II. Some hands are ears
IV. All telephone are birds
III. Some lungs are eyes
A. Only I follows
IV. No hand is eye
B. Only II follows
A. None follow
C. Only I and III follow
B. Only IV follows
D. Only III follows
C. Only II follows
24. Statements: Most CPUs are keyboards. No
keyboard is a Mouse. All Mouses are CPU. D. Only III follows

Conclusion: I. Some keyboards are CPU 27. Statements: All liquids are solids. Some
solids are gases. All gases are clouds
II. All CPU’s are Mouse
Conclusion: I. Some clouds are solids
III. No Mouse is a keyboard
II. Some clouds are liquids
IV. Some Mouse are keyboard
III. Some gases are liquids
A. Only I follows
IV. Some solids are clouds
B. Only II and III follow
A. None follows
C. Only I and III follow
B. Only I and II follow
D. Only II follows
C. Only III and IV follow
25. Statements: Samosas are Jalebi. All Jalebis
are Tikki. All Tikkis are Barfi D. Only I and IV follow

Conclusion: I. All Jalebis are Barfi 28. Statements: All Gold are Platinum. No
Platinum is silver. Some Diamonds are
II. All Tikkis are Samosas silver.

III. All Samosas are Barfi Conclusion: I. Some Diamonds are Gold

31 | Page
 II. Some Diamonds are Platinum 31. Statements: (I) Some Potatoes are onions

III. Some Gold are Silver (II) All onions are peanuts

IV. No Silver is Gold (III) All peanuts are samosas

A. Only I follow Conclusion: (I) Some potatoes are peanuts

B. Only III follows (II) Some peanuts are potatoes

C. Only IV follows (III) All onions are samosas

D. Only II and IV follow A. All follow

29. Statements: Some messages are WhatsApp. B. Only I, III follow

All Hikes are WhatsApp.
All WhatsApp are Facebook. C. Only I, II follow

Conclusion: D. Only II, III, follow

I. Some Facebook are messages 32. Statements:

II. All hikes are Facebook (I) some red are blue.

III. Some messages are hikes (II) Some blue are grey.

IV. Some message are Facebook (III) All grey are white.

A. All follow (IV) No white is black.

B. Only I, II and III follow Conclusions:

C. Only I, II and IV follow (I) No black is grey.

D. Only III and IV follow (II) Some blue are white.

30. Statements: No watch is cycle. No cycle is (III) Some black are red.
Motorbike. Some auto are motorbike
(IV) No black is red.
Conclusion:
A. Only I and II follow
I. No Motorbike is watch
B. Only either III or IV follows
II. No motor bike is cycle
C. Only I, II and either III or IV follow
III. Some cycles are watches
D. Only I and either III or IV follow
IV. All Motorbikes are watches
33. Statements: Some tumblers are plates.
A. None follows
Some bottles are tumblers.
B. Only I follows
All plates are spoons.
C. Only I and III follow
Conclusions:
D. None of these
I. Some spoons are tumblers

32 | Page
II. Some spoons are plates C. Only either I or IV follows

III. Some bottles are plates D. All follows

IV. No bottle is a plate 36. Statements: All roots are stems.

A. Only I & II follows Some branches are trees.

B. Either III or IV follow Some stems are branches.

C. All follow Conclusions:

D. None of these I. Some trees are stems

34. Statements: All speeches are translations. II. Some trees are branches

All essays are speeches. III. All trees are stems

No essays are reviews. IV. Some trees are not branches

Conclusions: A. Only I, II & III follow

I. Some reviews are speeches B. Only I & II follow

II. No reviews are essays C. Only I follows

III. No reviews are translation D. Only II follow

IV. No review are speeches 37. Statements: All clouds are stars.

A. All follow No stars are planets.

B. None of these Some clouds are satellites.

C. Either I or II follow. Conclusions:

D. Either I or IV and II follows I. No planet is cloud

35. Statements: No navies are air forces. II. Some satellites are stars

All armies are navies. III. Some planets are not satellites

All air forces are defences. IV. Some satellites are not planets

Conclusions: A. Only II follows

I. No air forces are navies B. Only I & II follows

II. Some defences are airforces C. Only I, II & IV follows

III. Some defences are not navies D. All follows

IV. No armies are air forces 38. Statements: No mat is fan. Some fans are
cars.
A. Only either I or II follows
All cars are shirts.
B. Only II follows

33 | Page
Conclusions: I. All mats are cars B. Only I, II & III follow

II. All shirts are cars C. Only II, III & IV follow

III. Some shirts are fans D. Only I, III & IV follow

IV. No shirt is a mat

A. Only either II or IV and III follow Level-3

B. Only I and II follow
41. Statements: All Even are Odd.
C. Only IV follow
All Composite are Prime.
D. Only III follow
No Odd is Prime.
39. Statements: Some clips are copies.
Some Odd are Whole.
Some copies are magazines.
Conclusions:
No magazines is a dictionary
I. All even are not Composite.
Conclusions: I. No copies are dictionary
II. No Prime is Even.
II. Some copies are dictionary
III. Some Whole are Composite.
III. Some copies are not dictionary
IV. All Odd are not Prime.
IV. No clips are magazines
A) Only I, II and III follow
A. Only III follows
B) Only I, II and IV follow
B. Only either I or II & III follow
C) All follow
C. Only I follows
D) Only I and IV follow
D. Only either I or II follows
42. Statements: All rivers are water.

Some water is pond.

40. Statements: Some headphones are
No pond is tree.
earphones
All trees are jungle.
All earphones are telephones.
Conclusion:
No telephones are television
I. Some rivers are pond.
Conclusions: I. No earphones are television
II. Some water is not tree.
II. Some headphones are not television
III. All rivers being jungle is a possibility.
III. Some headphones are telephones
A. Only I.
IV. Some telephones are not television
B. Only III.
A. All follow

34 | Page
C. II and III. All dogs are blue.

D. I and II. No dog is monkey.

43. Statements: Some triangles are square. All monkeys are tall.

All squares are cube. Conclusion:

No cube is circle. I. Some tall is not dog.

Some circles are rectangle. II. Some cat is dog.

Conclusion: I. All triangles being circle is a III. All blue being monkeys is a possibility.
possibility.
A. Only I.
II. No square is circle.
B. I and III.
III. Some triangle is cube.
C. II and III.
A. Only II.
D. Only II.
B. Only III.
46. Statements:
C. I and III.
All pens are pencil.
D. II and III.
All pencils are eraser.
44. Statements:
Some erasers are colour.
No black is orange.
Some colours are brush.
All yellow is orange.
Conclusion:
Some yellow is green.
I. All erasers are pen.
All green is pink.
II. Some brush is pencil.
Conclusion:
III. Some erasers are not colour.
I. Some orange are pink.
A. I and III.
II. All orange being yellow is a possibility.
B. Only III.
III. Some green is not black.
C. II and III.
A. Only I.
D. None follows
B. Only III.
47. Statements:
C. I and III.
Some Hen are Peacock.
D. All follow
Some Peacock are Crow.
45. Statements: Some cats are white.
No Crow is parrot.
Some white are dog.
Conclusions:

35 | Page
I. All Hen being parrot is a possibility. All Money is Pocket.

II. At least some peacock is parrot. Some Pocket is Rupees.

A. Neither I nor II follow. No Rupees is Note.

B. I and II follow. Conclusions:

C. Only I follow. I. Some Rupees is Wallet.

D. Either I or II follow. II. Some Pocket is not Note.

48. Statements: III. All Wallet being Note is a possibility.

No A is C. IV. Some Money is Rupees.

All B is C. A. If only conclusion II follows.

No B is D. B. If conclusion II and conclusion III follows.

Conclusions: C. None conclusion follows.

I. Some C is definitely not D. D. If Either conclusion I or conclusion III

follows.
II. All B is not A.
51. Statements:
A. Neither I nor II follow.
All Laptop is Camera.
B. I and II follow.
Some Camera is Speaker.
C. Only I follow.
All Music is Speaker.
D. Either I or II follow.
Some Speaker is Photo.
49. Statements:
Conclusions:
Some Shirts are Skirts.
I. All Laptop being Photo is a possibility.
Some Skirts are Buttons.
II. Some Speaker is Photo.
All Trousers are Buttons.
III. All Camera is Music.
Conclusions:
IV. No Laptop is Photo.
I. Some Skirt are Trousers.
A. If only conclusion III follows.
II. All Trousers being Shirt is a possibility.
B. If only conclusion I and conclusion III
A. Neither I nor II follow. follows.
B. I and II follow. C. If conclusion follows.
C. Only I follow. D. If conclusion I and conclusion II follows.
D. Only II follow 52. Statements:
50. Statements: All Wallet is Pocket.

36 | Page
All Song is Lyrics. 54. Statements:

No Lyrics is Machine. No Ink is Key.

All TV is Tablet. All Key is Lock.

All Tablet is Machine. Some Lock is Iron.

Conclusions: All Oil is Iron.

I. No Song is TV. Conclusions:

II. Some Machine is Tablet. I. All Ink being Lock is a possibility.

III. No Tablet is Lyrics. II. Some Oil is Key.

IV. Some TV is Machine. III. Some Iron is Key.

A. If only conclusion II follows. IV. All Key being oil is a possibility.

B. If conclusion II and conclusion III follows. A. If All conclusion follows.

C. None conclusion follows. B. If only conclusion II and III follow.

D. All conclusion follows. C. If conclusion I and conclusion IV follows.

53. Statements: D. If conclusion II and conclusion III follows.

Some Dog is Cat. Direction (Q.55-60): In each of the questions

below, three statements are given followed by
All Jocker is Cat. two conclusions numbered (I) and (II) are given.
You have to consider the statements to be true
No Jocker is Donkey. even if they seem to be at variance with
Some Donkey is Horse. commonly known facts. You have to decide
which of the following conclusions logically
Conclusions: follows from the given statements. Give answer.

I. Some Cat is Donkey. (A) If only conclusion I follows.

II. All Dog is Horse. (B) If only conclusion II follows.

III. All Jocker being Horse is a possibility. (C) If either conclusion I or conclusion II
follows.
IV. No Dog is Horse.
(D) If neither conclusion I nor conclusion II
A. If only conclusion II and conclusion III follows.
follows.
(E) If both conclusion I and II follow.
B. If only conclusion I, conclusion II and
conclusion III follows. 55. Statements:

C. If none conclusion follows. All gold is silver.

D. If Either conclusion II or conclusion IV No silver is stone.

follow.
All metal is silver.

37 | Page
Conclusion: I. Some ring is door

I. Some stones being metal is a possibility. II. No ring is door

II. Some silver is gold. 60. Statements:

56. Statements: Some cloud is bird

No pearl is paper No bird is car

Some diamond is water All car is banana

All diamond is paper Conclusion:

Conclusion: I. Some banana are not bird.

I. No diamond is pearl II. All cloud being banana is a possibility

II. Some pearl being water is a possibility

57. Statements:

Some circle is square

Some cone is square

No square is cube

Conclusion:

I. Not every circle is cube

II. Some cones are not cube

58. Statements:

All tables is chair

All balloons is biscuit

Some chair is balloon

Conclusion:

(I) A few chair is biscuit

(II) All tables is biscuit

59. Statements:

No ring is money

All pocket is money

No pocket is door

Conclusion:

38 | Page
 eighteenth from the left end. How many children
are towards the right of Mohan in that row?
NUMBER RANKING TEST
A) 12 B) 16 C)
17 D) Can't' be determined
EASY
7. In a row of children A is 13th from the left
BM%R3J@K©DF69W4*NEP2$A and D is 17th from the right. If in this row A is
Y5IQZ#7UG 11th from the right, then what. is the position of
D from left?
1. Which of the following is the sixth to the left
of the twentieth from the left end of the above A) 12th B) 6th C) 7th D) 10th
arrangement?
8. In a row of boys, Mohan is twentieth from
(A) J (B) Q (C) W (D) E the left and twelfth from the right end. Pratap is
fifteenth from the right end in that row. How
2. Which is the third number to the left of the
many boys are there between Mohan and
number which is exactly in the middle of the
Pratap?
following sequence of numbers?
A) 4 (B) 2 (C) 3 (D) None of these
12345678924689753198765432
1 9. In a row of students, Ramesh is 12th from the
left and Kashi is 17th from the right. When
A)3 B)4 C)5 D)6
Ramesh and Kashi interchange their positions
3. Which of the following is exactly in the Kashi becomes 27th from the right. How many
midway between the ninth from left end and the students are there between Kashi and Ramesh?
seventh from the right end?
A) 9 B) 12 C) 7 D) I 0
EG4BH75@K8DN£QZ$W3C19*
10. B M % R 3 J @ K © D F 6 9 W 4 * N E P 2
LB2S6
$AY5IQZ#7UG
A) Z B) B C) $ D) W
11. Which of the following is the sixth to the left
4. Nitin ranks eighteenth in a class of 49 of the twentieth from the left end of the above
students. What is his rank form the last? arrangement?

(A) 18 B) 19) C) 31 D) 32 (A) J (B) Q (C) W (D) E

5. Manoj and Sachin are ranked seventh and

eleventh respectively from the top in a class of 12. How many such consonants are there in the
31 students. What will be their respective ranks above arrangement, each of which is
from the bottom in the class? immediately preceded by a symbol and
immediately followed by a number?
A) 20 and 24 B) 24` and 20 C)
25 and 21 D) 26 and 22 (A) None (B) One (C) Two (D) Three

6. Mohan is thirteenth from the left end in a row

of children. Prabir is twelfth from the right and

39 | Page
13. If all the symbols and all the vowels are 20. 12. A class of boys stands in a single line. A
dropped from the above arrangement, which of boy is nineteenth in order from both the ends.
the following will be twelfth from the right end? How many boys are there in the class?

(A)9 (B)6 (C) P (D) Y A) 27 B) 37 C) 39 D) None of these

MODERATE
14. How many such numbers are there in the
above arrangement, each of which is
immediately preceded by a letter but not
R43%M@KEF5A#JNI8U©DBP6I
immediately followed by a letter?
W7ƍQ*Z
(A) None (B) One (C) Two (D) Three
21. If all the symbols are dropped from the
above arrangement, which of the following will
15. What should come in the place of question be fourth to the left of ninth from the left end?
mark (?) in the following series based on above
(A) K (B) E (C) M (D) 3
arrangement?

MRJ ©F9 *E2 ?

22. If all the numbers are dropped from the
(A) Y5l (B) YIQ (C) A5Q (D) YIZ above arrangement, which of the following will
be seventh to the right of eighteenth from the
right end?
16. . In a group of six children, Q is taller than P
but not as tall as L. M is taller than N and 0, but (A) J (B) # (C) U (D) N
not as tall as P. Who is the shortest among
23. How many such consonants are there in the
them?
above arrangement, each of which is
A) N B) 0 C) P D) Data inadequate immediately preceded by a symbol and
immediately followed by a letter?
17. In a queue of 20 boys, D is fourteenth from
the top and F is ninth from the bottom, how (A) None (B) One (C) Two (D) Three
many boy are there between and F?

A) 2 B) 3 C) 4 D) Data inadequate 24. Four of the following five are alike in a

certain way based on their positions in the above
18. 7. In a row of forty students R is fifth from arrangement and so form a group. Which is the
the right end and there are ten between R and D. one that does not belong to that group?
What is D’s positioŶ from the left end of the
row? (A) JAl (B) 3R% (C) 8©l (D) #NA

A) 26th B) 23rd C) 25th D) Data inadeqate

25. How many such numbers are there in the
19. 11. Sam ranked ninth from the top and above arrangement, each of which is
thirtyeighth from the bottom in a class. How immediately followed by a letter but not
many students are there in the class? immediately preceded by a symbol?

A)45 B) 46 C) 47 D)48

40 | Page
(A) None (B) One (C) Two (D) Three A)3 B)4 C)5 D)6

26. A class of boys stands in a single line. One 32. Which of the following is exactly in the
boy is nineteenth in order from both the ends. midway between the ninth from left end and the
How many boys are there in the class? seventh from the right end? E G 4 B H 7 5 @ K
8DN£QZ$W3C19*LB2S6
A)27 B ) 37 C) 38 D) 39
A)Z B) B C) $ D)W
Ques (102 to 105) 832 719 654 967 481
33. Which of the following is neither
27. If the positions of the second and the third immediately preceded by a letter nor
digits within each number are interchanged, immediately followed by a letter? M K 3 $ R E 5
which of the following will be the sum of the F%TUJ*8PHBN2IS#A37D4
first and the second digits of the third highest
number? A)None B) B C) $ D) 7

(A) 16 (B) 10 (C) 9 D) 15 34 . How many such numbers are there in the
series which are immediately followed by its
28. Which of the following is the sum of the first multiple? 6 7 5 4 3 7 4 8 9 3 2 5 4 7 9 8 6 8 7 1 2
and the third digits of the second lowest 53768936
number?
A)4 B) 3 C) 2 D) 1
(A) 16 (B) 10 (C) 18 (D) 5
35. If the order of the digits in each of the
following numbers is reversed and then newly
29 If the positions of the first and the second formed numbers are arranged in ascending
digits within each number are interchanged, order, what will be the middle digit of the fourth
which of the following will be the difference number from the top? 845, 632, 489, 398, 817,
between the highest and the second highest 546, 279, 638
number?
A)1 B) 3 C) 4 D) 8
(A) 203 (B) 133 (C) 385 (D) 144
36. below:- 235 762 198 438 623 911

30. If the positions of the first and the third 36. If the position of the first and second digits
digits within each number are interchanged, are interchanged then what is the difference
which of the following will be the sum of the between the highest and second lowest number?
second and third digits of the lowest number?
A) 555 B) 655 C) 455 D) 755
(A) 8 (B) 11 (C) 15 (D) 12
37. If all the digit in the numbers are written in
reverse order then which number is the third
31. Which is the third number to the left of the largest number?
number which is exactly in the middle of the
following sequence of numbers? 1 2 3 4 5 6 7 8 A) 762 B) 135 C) 235 D) 623
9246897531987654321

41 | Page
38. If the digits of all numbers are added then 44. If the order of the digits in each of the
which number is the largest among them? following numbers is reversed and then newly
formed numbers are arranged in ascending
A) 235 B) 762 C) 198 D) 911 order, what will be the middle digit of the fourth
number from the top?
39. If 100 is subtracted from all the numbers and
then the number obtained are written in reverse 845, 632, 489, 398, 817, 546, 279, 638
order, then the lowest number is
A)1 B) 3 C) 4 D) 8
A) 235 B) 198 C) 911 D) 623
45. If all the numbers are dropped from the
series and the order of letters is reversed, which
40. Some boys are sitting in a row. P is sitting
letter will be 6th to the right to fifth letter from
fourteenth from the left and Q is seventh from
left?
the right. If there are four boys between P and Q,
how many boys are there in the row ? F6Z71T3UXR529P4BA78D46F
GH2P3QR
A)25 B) 23 C) 21 D) 19
A)F B) X C) R D) G

HIGH 46. below:- 235 762 198 438 623 911 19. If 100
is subtracted from all the numbers and then the
41. Count each 7 which is not immediately
number obtained are written in reverse order,
preceded by 5 but is immediately followed by
then the lowest number is
either 2 or 3. How many such 7's are there ? 5 7
265738373257273482678 A) 235 B) 198 C) 911 D) 623
47. In a row of students, Ramesh is 12th from
A)2 B)3 C) 4 D) 5
the left and Kashi is 17th from the right. When
42. In the following sequence, if the positions of Ramesh and Kashi interchange their positions
the letters in the sequence remain unchanged Kashi becomes 27th from the right. How many
and the positions of the numbers in the sequence students are there between Kashi and Ramesh?
are reversed then which of the following
A) 9 B) 12 C) 7 D) I 0
letter/number is fifth to right of ninth
letter/number from the right? Q D T P 5 2 3 F G 48. . In a row of boys, A is fifteenth from the left
54B7HJ9K6MN8 and B is fourth from the right. There are three
boys between A and B. C is just left of A. What
A)P B) 6 C) 3 D) None of these
is C's position from the right?
43. . If letter of above given series are written in
A) 9th B) 10th C) 12th D) None of these.
reverse order then which letter will be third to
the left of eighteenth letter from your right? N 49. 19 . Richard is fifteenth from the front in a
OPQYBZARSHIJKLMTUVGFE column of boys. There were thrice as many boys
WXDC behind him as there were in front. How many
boys are there between Richard and the seventh
A)Z B)F C)I D)L
boy from the end of the column?

A) 33 B) 34 C) 35 D) Data inadequate

42 | Page
50. Forty boys are standing ow facing the North. and D, B has not scored the highest marks
Amit is eleventh from the left and Deepak is among them. Who among them scored second
thirty-first from the right end of the row. How highest marks?
far will Shreya who is third to the right of Amin
the row, be from Deepak? (A) B (B) C (C) E (D) Data inadequate

A) 2nd B) 3rd C) 4th D) 5th 56. Amongst five friends, each got a different
percentage of marks in the examination. Poonam
51. In a class, among the passed students, scored more than Ben but less than Ajay. Ajay
Amisha is twenty-second from the top and Sajal scored 70% marks. Shreya scored less marks
who is 5 ranks below Amisha, is thirty-fourth only than Kim. The one who scored the
from the bottom. All the students from the class minimum marks scored 65% marks and the one
have appeared for the exam. If the ratio of the who scored the highest, scored 87% marks.
Number Ranking Test 57 Department of
Analytical Skills, School of Professional 56. Who amongst the following scored the
Enhancement students who passed in the exam second lowest marks?
to those who failed is 4:1 in that class, how (A) Ben B) Kim (C) Shreya (D) Poonam
many students are there in the class?
57. Who amongst the following is the most
A) 60 B) 75 C) 90 (D) Data inadequate. likely to have scored 82% marks?
52. In a.row of girls, there are 16 girls between (A) Ben (B) Poonam (C) Shreya (D) Kim
Priya and Natasha. Priya is thirty-second from
the left end of the row. If Priya is nearer than 58-60. There are five men, Anuj, Kunal, Sourav,
Natasha from the right end of the row, then how Rahul and Harish. The one who is tallest is not
far away is Natasha from the left end of the row? the youngest. Kunal is older than only Harish.
Sourav is older than Rahul but shorter than him.
A) Data inadequate B) 14th C) 15 D)16 th Only one person is taller than Rahul. Anuj is
53. In a queue, Shikhar is ninth from the back. shortest while younger than only Sourav and
AruŶ’s place is eighth froŵ the froŶt. Nikhil is Rahul. Only two men are shorter than Sourav.
standing between the two. What be the 58. Which of following men is third tallest of the
minimum number of boys standing in the five?
queue.?
(A) Sourav (B) Rahul (C) Harish (D) Kunal
A) 8 B ) 10 C) 12 D) 14 59. Who among the following men is tallest?
54. In a row of girls facing North, Reena is 10th,
to the left of Pallavi who is 21 st from the right (A) Sourav (B) Rahul (C) Kunal (D) Harish
end. If Malini who is 17 th from the left end, is
fourth to the right of Reena . How many girls are 60 . If the five men are made to stand in a line
there in the row.? according to the height, first in ascending order,
then in descending order, then whose position
A) 37 B) 43 C) 44 D) Data inadequate will remain the same in both the arrangements?

55. Among A, B, C, D and E each having scored (A) Harish (B) Rahul (C) Kuna (D) Sourav
different marks, B has scored more marks than E

43 | Page
Questions on Mensuration Q6. The capacity of a cylindrical vessel is
25.872 litres. If the height of the cylinder is
Level -1 three times the radius of its base, what is the
area of the base?
Q1. The diameter of the base of a cylindrical
(a) 616cm square
drum is 35 dm and its height is 24 dm. It is
(b) 612cm square
full of kerosene. How many tins, each of
(c) 600cm square
size 25 cm × 22 cm × 35 cm can be filled
(d) 588cm square
with kerosene from the drum?
(a) 1000
Q7. A tank is 7 m long and 4 m wide. At
(b) 1200
what speed should water run through a
(c) 1400
pipe 5 cm broad and 4 cm deep so that in 6
(d) 1800
hours and 18 minutes, the water level in the
tank rises by 4.5 m?
Q2. A wooden box measures 20 cm × 12 cm
(a) 12 kmph
× 10 cm. the thickness of the wood is 1 cm.
(b) 10 kmph
The volume of the wood required to make
(c) 14 kmph
the box is:
(d) 18 kmph
(a) 960 cm cube
(b) 900cm cube
Q8. The water in a rectangular reservoir
(c) 1000cm cube
having a base 80 m by 60 m is 6.5 m deep. In
(d) 1100 cm cube
what time can the water be emptied by a
pipe of which the cross-section is a square
Q3. If the areas of the three adjacent faces of
of side 20 cm, if the water runs through the
a cuboidal box are 120 cm square, 72 cm
pipe at the rate of 15 km per hour?
square and 60 cm square respectively, then
(a) 40 hrs.
the volume of the box is:
(b) 58hrs.
(a) 800 cm cube
(c) 54hrs.
(b) 680 cm cube
(d) 52 hrs.
(c) 700 cm cube
(d) 720 cm cube
Q9. A cistern of capacity 8000 litres
measures externally 3.3 m by 2.6 m by 1.1 m
Q4. The size of a wooden block is (15 cm ×
and its walls are 5 cm thick. The thickness of
12 cm × 20 cm). How many such blocks will
the bottom is:
be required to construct a solid wooden
(a) 22dm
cube of minimum size?
(b) 1 dm
(a) 50
(c) 42 dm
(b) 40
(d) 2dm
(c) 60
(d) 55
Q10. A right-angle triangle having base 6.3
m and height equal to 10 m is turned
Q5. The ratio of the radius and height of a
around the height. Find the volume of the
cone is 5: 12. Its volume is 2200/7 cm. Its
cone thus formed. 
slant height is:
(a) 410 m cube
(a) 15cm
(b) 415.8 m cube
(b) 12.5cm
(c) 512.6m cube
(c) 14cm
(d) 504m cube
(d) 13 cm

44 | Page
Q11. The surface area of cube is 864 cm are recast into cylindrical disc of thickness 1
square. Find its volume.  cm. The radius of the disc is 
(a) 1728 cm cube (a) 7 cm 
(b) 1628 cm cube (b) 14 cm 
(c) 1748 cm cube (c) 21 cm  
(d) 1720 cm cube (d) 28 cm

Q12. The perimeter of a square is equal to Q17. The outer circumference of a 1 cm

twice the perimeter of a rectangle of length thick pipe is 44 cm. How much water will 7
of 8 cm and breadth 7 cm. What is the cm of the pipe hold?
circumference of a semicircle whose (a) 1078 cm cube
diameter is equal to the side of the square? (b) 1792 cm cube
(a) 38.57 cm  (c) 303 cm cube
(b) 23.57 cm  (d) 792 cm cube
(c) 42.46 cm 
(d) 47.47 cm
Q18. The areas of three consecutive faces of
Q13. A path of uniform width surrounds a a cuboid are 12 cm square, 20cm square and
circular park. The difference of internal and 15 cm square, then the volume (in cm
external circumferences of this circular path square) of the cuboid is 
is 132 m. Its width is (take π=22/7) (a) 3600 
(a) 22 m  (b) 100 
(b) 20 m  (c) 80 
(c) 21 m  (d) 60
(d) 24 m 
Q19. Each dimension in metres of a
Q14. A person observed that he required 30 rectangular solid is an integer less than 17,
s time to cross a circular ground along its the volume of the solid is 3120 cubic metre.
diameter than to cover it once along the If the height of the solid is 16m and length
boundary. If his speed was 30 m/min, then of the solid is 15 metre, what is the surface
the radius of the circular ground is (take area (in sq. metre) of the solid? 
π=22/7).  (a) 1826 
(a) 10.5 m (b) 1268
(b) 3.5 m  (c) 1395 
(c) 5.5 m  (d) 1286
(d) 7.5 m 
Q.20. The radius of a circular field is equal
Q15. The area of a triangle is 216 cm2 and its to the side of a square field. If the difference
sides are in the ratio 3 : 4 : 5. The perimeter between the perimeter of the circular field
of the triangle is   and that of the square field is 32m, what is
(a) 6 cm  the perimeter of the square field?
(b) 12 cm  (a) 84 m
(c) 36 cm  (b) 95 m
(d) 72 cm  (c) 56 m
(d) 28 m
Q16. Two solid cylinders of radii 4 cm and 5
cm and lengths 6 cm and 4 cm, respectively Level -2

45 | Page
 Q26. The inner circumference of a circular
Q21. Two goats are tethered to diagonally field is 704 m. A road 7 m wide is
opposite vertices of a field formed by constructed on the outside. Find the area of
joining the mid-points of the adjacent sides the path. 
of another square field of side 20√2m. What A. 5082 m²
is the total grazing area of the two goats if B. 5060 m²
the length of the rope by which the goats C. 5060.5 m²
are tethered is 10√2 m? D. 5000 m²
A. 100π m²
B. 50(√2-1)π m² Q. 27. A square park has each side of 100 m.
C. 100π(3-2√2) m² At each corner of the park, there is a flower
D. 200π(2-√2) m² bed in the form of a quadrant of radius 14
m. Find the area of the remaining part of the
Q22. Two equal maximum sized circular park. 
plates are cut-off from a circular paper-sheet A. 9184 m²
of circumference 352 cm. The circumference B. 9284 m²
of each circular plate is. C. 9834 m²
A. 176 cm D. 9384 m²
B. 180 cm
C. 165 cm Q.28. An equilateral triangle of side 6 cm
D. 150 cm has its corners cut off to form a regular
hexagon. Area (in cm2) of this regular
Q23. Find the ratio of the diameter of the hexagon will be 
circles inscribed in an equilateral triangle, A. 3√3
the diameter circumscribing that equilateral B. 3√6
triangle and the height of the same C. 6√3
equilateral triangle? D. (5√3)/2
A. 1 : 2 : 1
B. 2 : 4 : 3 Q.29. A wire, when bent in the form of a
C. 1 : 3 : 4 square, encloses a region having area 121
D. 3 : 2 : 1 cm2. If the same wire is bent into the form
of a circle, then the area of the circle is?
Q. 24. Find the area of a right-angled A. 144 cm²
triangle if the radius of its circumcircle is 5 B. 180 cm²
cm and the altitude drawn to the C. 154 cm²
hypotenuse is 4 cm.  D. 176 cm²
A. 20 cm²
B. 22 cm² Q.30. ABC is an equilateral triangle of side 2
C. 20√2  cm² cm. With A, B, C as centers and radius 1 cm
D. 22√2  cm² three arcs are drawn. The area of the region
within the triangle bounded by the three
Q25. Find the area of a circle whose arcs is?
circumference is 44 cm.  A. 3(√3-π/2)cm²
A. 154 cm² B. (√3-3π/2)cm²
B. 150 cm² C. (π/2)cm²
C. 145 cm² D. (π/2-√3)cm²
D. 140 cm²

46 | Page
Q.31. A rectangular block of metal has made by utilizing the maximum of a
dimensions 21 cm, 77 cm and 24 cm. The rectangular block of lead with 11 metre
block has been melted into a sphere. The length, 10 metre breadth and 5 metre width
radius of the sphere is. is
A. 21 cm A. 8800
B. 7 cm B. 8500
C. 14 cm C. 8400
D. 28 cm D. 9000

Q.32. The radius of cross-section of a solid Q.37. If a metallic cone of radius 30 cm and
cylindrical rod of iron is 50 cm. The cylinder height 45 cm is melted and recast into
is melted down and formed into 6 solid metallic spheres of radius 5 cm, find the
spherical balls of the same radius as that of number of spheres.
the cylinder. The length of the rod (in A. 81
metres) is B. 41
A. 0.8 C. 80
B. 2 D. 40
C. 3
D. 4 Q.38. A metallic sphere of radius 10.5 cm is
melted and then recast into small cones each
Q.33. Two right circular cones of equal of radius 3.5 cm and height 3 cm. The
height of radii of base 3 cm and 4 cm are number of cones thus formed is
melted together and made to a solid sphere A. 140
of radius 5 cm. the height of a cone is B. 132
A. 10 cm C. 112
B. 20 cm D. 126
C. 30 cm Q.39. A right circular cone is 3.6 cm height
D. 40 cm and radius of its base is 1.6 cm. It is melted
and recast into a right circular cone with
Q.34. The radius of the base and the height radius of its base as 1.2 cm. Then the height
of a right circular cone are doubled. The of the cone (in cm) is
volume of the cone will be A. 3.6 cm
A. 8 times of the previous volume B. 4.8 cm
B. 3 times of the previous volume C. 6.4 cm
C. 3√2 times of the previous volume D. 7.2 cm
D. 6 times of the previous volume
Q.40. If surface area and volume of sphere
Q.35. If h, c, v are respectively the height, are S and V respectively, then value of
curved surface area and volume of a right S^3/V^2  is
circular cone then the value of 3πvh³ – c²h² + A. 36 π units
9v² is B. 9 π units
A. 2 C. 18 π units
B. –1 D. 27 π units
C. 1
D. 0
Level -3
Q.36. The total number of spherical bullets,
each of diameter 5 decimeter, that can be

47 | Page
Q.41. Four circles having equal radii are D. ((4π-6√3))/6
drawn with centres at the four corners of a
square. Each circle touches the other two
adjacent circle. If remaining area of the Q.46. Water flows at the rate of 10 m per
square is 168 cm square, what is the size of minute from a cylindrical pipe 5 mm in
the radius of the circle? diameter. A conical vessel whose diameter
A. 1.4 cm is 40 cm and depth 24 cm is filled. The time
B. 14 cm taken to fill the conical vessel is:
C. 35 cm A. 50 min
D. 21 cm B. 50 min. 12 sec
C. 51 min. 12 sec
Q.42. The radius of the base and the height D. 51 min. 15 sec
of a right circular cylinder are 3.5 cm and
7.5 cm respectively. The ratio of the total Q.47. A cone, a hemisphere and a cylinder
surface area to the curved surface area of stand on equal bases of radius R and have
the cylinder will be equal heights H. Their whole surfaces are in
A. 22 : 5 the ratio:
B. 22 : 15 A. (√3+1) : 3 : 4
C. 22 : 7 B. (√2+1) : 7 : 8
D. 22 : 17 C. (√2+1) : 3 : 4
D. None of these

Q.43. From a solid sphere of radius 15 cm, a Q.48. A cylinder is circumscribed about a
right circular cylindrical hole of radius 9 cm hemisphere and a cone is inscribed in the
whose axis passing through the centre is cylinder so as to have its vertex at the centre
removed. The total surface area of the of one end and the other end as its base. The
remaining solid is: volumes of the cylinder, hemisphere and
A. 1188π cm² the cone are respectively in the ratio of:
B. 108π cm² A. 3 : √3 : 2
C. 1170π cm² B. 3 : 2 : 1
D. 144π cm² C. 1 : 2 : 3
D. 2 : 3 : 1
Q.44. A conical circus tent is to be made of
canvas. The height of the tent is 35 m and Q.49. A large solid sphere of diameter 15 m
the radius of the base is 84 m. If π = 22/7, is melted and recast into several small
then the canvas required is: spheres of diameter 3 m. What is the
A. 24000 m² percentage increase in the surface area of
B. 24004 m² the smaller spheres over that of the large
C. 24014 m² sphere?
D. 24024 m² A. 200%
B. 400%
Q.45. Two circles of unit radii, are so drawn C. 500%
that the centre of each lies on the D. can’t be determined
circumference of the other. The area of the
region, common to both the circles, is: Q.50. A hemispherical basin 150 cm in
A. ((4π-3√3))/12 diameter holds water one hundred and
B. ((4π-6√3))/12 twenty times as much a cylindrical tube. If
C. ((4π-3√3))/6

48 | Page
the height of the tube is 15 cm, then the 4. The angle of elevation of the sun, when
diameter of the tube (in cm) is: the length of the shadow of a tree is
A. 23 equal to the height of the tree, is:
B. 24 A. 30° B. 45°
C. 25 C. 60° D. None of these
D. 26
5. The angle of elevation of a ladder
leaning against a wall is 60º and the
foot of the ladder is 12.4 m away from
the wall. The length of the ladder is:
A. 14.8 m B. 6.2 m
C. 12.4 m D. 24.8 m

6. A ladder 10 m long just reaches the top

of a wall and makes an angle of 60° with
the wall. Find the distance of the foot of
the ladder from the wall (√3=1.73).
A. 4.32 m B. 17.3 m
C. 5 m D. 8.65 m

7. From a point P on a level ground, the

angle of elevation of the top of a tower
is 300 If the tower is 100 m high, the
distance of point P from the foot of the
Height and Distance tower is:
A. 149 m B. 156 m
[Level-I] C. 173 m D. 200 m
1. Find the angle of elevation of the sun
when the shadow of a pole of 18 m 8. From a point 20 m away from the foot
height is 6√3 m long? of a tower, the angle of elevation of the
A. 30° B. 60° top of the tower is 30°. The height of
B. C. 45° D. None of these the tower is:
A. 10√3 m B. 20√3 m
2. The angle of elevation of the sun, when C. 10/√3 m D. 20/√3 m
the length of the shadow of a tree is √3
times the height of tree, is : 9. An observer 1.6 m tall is 20√3 away
A. 30 degree B. 45 degree from a tower. The angle of elevation
C. 60 degree D. 9 degree from his eye to the top of the tower is
30°. The heights of the tower is:
3. The angle of elevation of a ladder A. 21.6 m B. 23.2
leaning against a wall is 60° and the foot C. 24.72 m D. None of these
of the ladder is 4.6 m away from the
wall. The length of the ladder is: 10. From a tower of 80 m high, the angle of
A. 2.3 m B. 4.6 m depression of a bus is 30°. How far is
C. 7.8 m D. 9.2 m the bus from the tower?
A. 40 m B. 138.4 m
C. 46.24 m D. 160 m

49 | Page
 11. The thread of a kite is 120 m long and it 18. The altitude of the sun at any instant is
is making 30° angular elevation with the 60º. Find the height of the vertical pole
ground .What is the height of the kite? that will cast a shadow of 30 m.
A. 60 m B. 20 m A. 10√3 m B. 20√3 m
C. 40 m D. 10 m C. 30√3 m D. 40√3 m

12. The shadow of a building is 20 m long 19. A vertical toy 18 cm long casts a shadow
when the angle of elevation of the sun 8 cm long on the ground. At the same
is 60º. Find the height of the building. time a pole casts a shadow 48 m. long
A. 34.64 m B. 38.64 m on the ground. Then find the height of
C. 42.64 m D. 49.64 m the pole?
A. 1080 cm B. 180 m
13. A tower is 100√3 metres high. Find the C. 108 m D. 118 cm
angle of elevation of its top from a point
100 metres away from its foot. 20. A flagstaff 17.5 m high casts a shadow
A. 50º B. 40º of length 40.25 m. What will be the
C. 80º D. 60º height of a building, which casts a
shadow of length 28.75 m under similar
14. An observer 2 m tall is 10 √ 3 m away conditions?  
from a tower. The angle of elevation A. 14 cm B. 13.5 cm
from his eye to the top of the tower is C. 12.5 cm D. 11.4 cm
30º. The height of the tower is:
A. 10 m B. 12 m
C. 14 m D. 16 m [Level II]
15. When the sun's altitude changes from 21. If the angle of elevation of the sun
30° to 60°, the length of the shadow of changes from 300 to 450, the length of
a tower decreases by 70m. What is the the shadow of a pillar decreases by 20
height of the tower? meters. The height of the pillar is:
A. 55.6 m B. 60.6 m A. 20 (√3-1) m B. 20 (√3+1) C.
C. 65.6 m D. 70.6 m 10 (√3-1) m D. 10 (√3+1)
16. The angle of elevation of a ladder 22. The shadow of the tower becomes 60
leaning against a wall is 60º and the meters longer when the altitude of the
foot of the ladder is 12.4 m away from sun changes from 450 to 300 .Then the
the wall. The length of the ladder is: height of the tower is:
A. 20.8 m B. 22.8 m A. 20(√3+1) m B. 24 (√3+1) m
C. 24.8 m D. None of these C. 30 (√3+1) m. D. 30 (√3-1) m
17. The angle of elevation of the top of a
tower from a certain point is 30°. If the 23. On the same side of a tower, two
observer moves 40 m towards the objects are located. Observed from the
tower, the angle of elevation of the top top of the tower, their angles of
of the tower increases by 15°. The depression are 45° and 60°. If the height
height is: of the tower is 600 m, the distance
A. 44.6 m B. 54.6 m between the objects is approximately
C. 64.6 m D. 74.6 m equal to :

50 | Page
 A. 272 m B. 284 m
C. 288 m D. 254 m 29. From the top of a hill 100 m high, the
angles of depression of the top and
24. The angle of elevation of the top of a bottom of a pole are 30° and 60°
lighthouse 60 m high, from two points respectively. What is the height of the
on the ground on its opposite sides are pole?
45° and 60°. What is the distance A. 46.67 m B. 56.67 m
between these two points? C. 66.67 m D. None of these
A. 45 m B. 30 m
C. 103.8 m D. 94.6 m
30. The angle of elevation of the top of a
25. The angle of elevation of the top of a tower from the point P and Q at
tower from a point A on the ground is distance of ‘a’ and ‘b’ respectively from
300. On moving a distance of 20 metres the base of the tower and in the same
towards the foot the tower to a point B, straight line with it are complementary.
the angle of elevation increases to 60 0. The height of the tower is:
The height of the tower is: A. √ab B. a/b
A. √3 m B. 5√3 m C. ab D. a^2 b^2
C. 10√3 m D. 20√3 m
31. The length of the shadow of a vertical
26. A vertical post 15 ft. high is broken at a tower on level ground increases by 10
certain height and its upper part, not metres when the altitude of the sun
completely separated meets the ground changes from 45° to 30°. Then the
angle of 300. Find the height at which height of the tower is:
the post is broken. A. 5√3 m B. 10(√3 + 1) m
A. 10 ft. B. 5 ft. C. 5(√3 + 1) m D. 10√3 m
C. 15√3 (2-√3) ft. D. 5√3 ft.
32. A man standing at a point P is watching
27. A man standing at a point P is watching the top of a tower, which makes an
the top of a tower, which makes an angle of elevation of 30°. The man
angle of elevation of 30º with the man's walks some distance towards the tower
eye. The man walks some distance and then his angle of elevation of the
towards the tower to watch its top and top of the tower is 60°. If the height of
the angle of the elevation becomes 60º. tower is 30 m, then the distance he
What is the distance between the base moves is:
of the tower and the point P? A. 22 m B. 22√3 m
A. Data inadequate B. 8 units C. 20 m D. 20√3 m
C. 12 units D. None of these
33. The angle of elevation of the top of a
28. Two ships are sailing in the sea on the tower from a point on the ground is 30°
two sides of a lighthouse. The angle of and moving 70 meters towards the
elevation of the top of the lighthouse is tower it becomes 60°. The height of the
observed from the ships are 30° and 45° tower is:
respectively. If the lighthouse is 100 m A. 10 meter B. 10/√3 meter
high, the distance between the two C. 10√3 meter D. 35√3 meter
ships is:
A. 173 m B. 200 m
C. 273 m D. 300 m

51 | Page
 34. A tree breaks and falls to the ground D. 150 m/sec
such that its upper part is still partially
attached to its stem. At what height did 39. Two pillars of equal height are on
it break, if the original height of the tree either side of a road, which is 120m
was 24 cm and it makes an angle of 30° wide. The angles of elevation of the
with the ground? top of the pillars are 600 and 300 at
A. 12 cm B. 8 cm C.
a point on the road between the
9.5 cm D. 7.5 cm
pillars. Find the height of the pillars.
35. The top of a 15 m. high tower makes an A. 10√3 m B. 30√3 m
angle of elevation of 60 degree with the C. 20√3 m D. None of
bottom of an electric pole and an angle these
of 30 degree with the top of the pole.
What is the height of the pole? 40. Two pillars of equal height are on
A. 12 m B. 10 m
either side of a road, which is 100m
C. 11 m D. 5 m
wide. The angles of elevation of the
36. From the top of a temple near a river top of the pillars are 600 and 300 at
the angles of depression of both the a point on the road between the
banks of river are 45° & 30°. If the pillars. Find the height of the pillars.
height of the temple is 100 m then find
A. 25√3 m B. 30√3 m
out the width of the river.
A. 50(√3-1)m C. 10√3 m D. None of
B. 100(√3-1)m these
C. 200(√3-1)m
D. 300(√3-1)m

37. A toy leaves the earth at a point A

and rises vertically at uniform
speed. After two minutes of vertical
rise boy finds the angular elevation
of the balloon as 60°. If the point at
which boy is standing is 150 m
away from point A, what is the
speed of the toy?

A. 98 m/s B. 1.08 m/s

C. 1.16 m/s D. 2.16 m/s

38. The angle of elevation of an

aeroplane from a point on the
ground is 60°. After 15 second
flight, the elevation changes to 30°,
If the aeroplane is flying at a height
of 1500√3 m, find the speed of the
plane:
A. 300 m/sec B. 200
m/sec C. 100 m/sec

52 | Page
 1.What is position of G with respect to E?
A) Immediate left B) 2nd to the left
C) 3rd to the left D) 3rd to the right
E) None of these
2.Which of the following pairs represent
people standing at the extreme ends?
A) FH B) CE
C) DE D) CH
E) None of these
3. Who is standing 2nd to the right of C?
A) F B) D
C) G D) E
E) None of these
4. Four out of five are alike in a certain way
based on their positions in the arrangement.
One that does not belong to the group is?
A) CG B) GE
C) GH D) ED
E) None of these
5. If all the people are asked to stand in an
alphabetical order from left to right, positions
of how many will remain unchanged?
A) one B) Two
C)three D)None
E) None of these
(6 – 10) ABCXYZ are seated in a straight
line facing North. C is third to the right of Z
and B sits second to the right of C. X sits to
the immediate right of A.
Q. 6 Which of the following represents the
pairs of persons sitting exactly in the middle of
the line?
A) XB B) ZB
C) BX D) XC
E) XY
Q. 7 What is X`s position with respect to
Z?
A Immediate right of Z B)Second to the left
C) Third to the right D)Second to the right
E) None of these
Q. 8 Four out of five are alike bases on
Seating arrangement their seating positions, find the one which does
Practice Questions on linear arrangements: not belong to the group?
Q (1 – E)Six people – C,D,E,F,G, and H are A ZA B) ZB
standing in a straight line facing North not C) XA D) XC
necessarily in the same order. D is standing E) CY
second to the right of F. C is standing fourth to Q. 9 How many persons are seated between
the left of H and H is not standing on the A and C?
extreme end of the line. E is standing second A) one B)two
to0 the right of D C)Three D)Four

53 | Page
E) None (C)QPK (D)KPR
Q10. If A:X and Z:A , then Y : (E)None of these
(A) Y B)B Q 16. Who is sitting in the centre of the row?
(C) X (D) A (A)L B) J
(E)None of these C) O D) Q
(11– 1C): Six trees namely Lemon, Ashoka, E) None of these
Banana, Mango, Apple and Papaya are planted Q 17. Who are sitting next to L?
in a line. Lemon is third to the left of Papaya (A) A and O (B) M and J
tree. Ashoka is at the right end. Banana and (C) M and O (D) P and J
Mango trees are immediate neighbours of E) None of these
Lemon. Banana tree is also neighbour of Q 18. Who is at the other end of the row?
Apple tree. (A) R (B) J
Q 11. Which of the following trees is at the (C) P (D)N
left end of the row? (E) None of these
(A Mango B)Apple ( 19 – 2C)Ten people are sitting in two parallel
(C) Banana (D)Papaya rows containing five people each, in such a
(E)Lemon way that there is an equal distance between
Q 12. Which among the following trees are adjacent person. In row 1 P, Q, R , S and T are
not neighbours? seated and all of them are facing South. In row
(A Banana and Apple B)Papaya and Ashoka 2 A, B C , D and E are seated and all of them
(C) Mango and Banana (D) Mango and Lemon are facing North. Therefore, in the given
(E) Lemon and Banana seating arrangement each member seated in a
Q13. Which pair of trees represent the trees row faces another member of the other row. D
in the middle of the row? sits third to the left of A. P faces immediate
(A Lemon and Banana B)Banana and Apple neighbor of D. R sits second to the right of P.
(C) Ashok and Papaya (D) Mango and Apple S sits second to the left of Q. B and E are
(E) Ahoka and Banana immediate neighbors and E does not face P.
Directions for Q(14 – 18):Read the paragraph Q 19. How many persons are seated between
carefully and answer the questions below it. Q and T ?
I. Nine family members are A) None B) One
sitting in a theatre in one row. C) Two D) Three
II. They are J, K, L, M, N, O, P, E) None of these
Q and R. L is at the right of M Q 20. Four of the following five are alike in a
and at third place at the right certain way and, thus, form a group. Which is
of N. the one that does not belong to that group ?
III. K is at one end of the row. A) R B)S C) C D) T
IV. Q is immediately next to O E) None of these
and P. Q 21. Who amongst the following represent
V. O is at the third place at the the people sitting exactly in the middle of the
left of K. rows ?
VI. J is right next to the left of O. A) P , E B) S , D
Q 14. Which of the following statement is C) S, A D) P, B
true? E) None of these
A) There is one person between L and O Q 22. Which of the following is true regarding
B) R and P are neighbours B?
C) M is at one extreme end A A and C are immediate neighbors of B
D) N is at two seats away from J B) B sits at one of the extreme ends of the line
E) None of these C) Q faces B
Q 15. The family members sitting on the D) D sits to the immediate left of B
right of O are E) None of these
(A).RML (B)JQP Q23.. Four of the following five are alike in a

54 | Page
certain way and thus, form a group. Which is E) Q sits second to the right of T
the one that does not belong to that group ?A Q 29. Four of the following five are alike in
A)T-E B) Q-C a certain way based on the given arrangement
C) S-B D) R-A and so from a group. Which is the one that
E) None of these does not belong to that group ?
Directions – (Q. 24 – 29 ) Study the following A) A-T B) B-T
information to answer the given questions – C) F-P D) C-V
Twelve people are sitting in two parallel rows E)E-Q
containing six people each, in such a way that (30 – 3C). Six chemicals L,M,N,O,P and Q are
there is an equal distance between adjacent kept in bottles of different colours viz. green,
person. In row – 1 P, Q, R, S, T and V are red , blue, white, pink and violet, not
seated and all of them are facing South. In row necessarily in this order. These bottle are
– 2A, B, C, D, E and F are seated and all of arranged from left to right.
them are facing North. Therefore, in the give Chemical M is kept in white bottle. Chemical
seating arrangement each member seated in a L is not kept in green bottle and is kept to the
row-faces another member of the other row .S immediate left of the violet bottle. Chemical O
sits third to right of Q. Either S or Q sits at an is kept tithe blue bottle and is kept exactly
extreme end of the right of E. Two people sit between the bottles containing chemicals L
between B and F. Neither B nor F sits at an and M. The red bottle is at the extreme left
extreme and of the lien. The immediate end. The bottle containing chemical Q is not
neighbour of B faces the person who sits third kept at either of the ends. The green bottle is
to left of P. R and T are immediate neighbours kept at the extreme right end. Chemical P Is
of each other. C sits second to the left of A. T not kept near the white bottle
does not face the immediate neighbour of D. Q 30. Four of the following are alike in a
Q 24.. Who amongst the following sit at certain way based on their positions , which is
extreme ends of the rows ? the one that doesn’t belong to this group?
A) S, D B) Q, A A) LM B) LP
C) V, C D) P, D C) QO D) LQ E) NO
E) Q, F Q 31. Which bottle contains Chemical L?
Q 25. Who amongst the following faces S ? A Pink B) Blue
A) A B)B C) Red D) White
C)C D)D E) None of these
E) F Q 32. Which of the following combinations of
Q 26. How many person are seated between V chemical and bottle is correct?
and R ? A) P - Red B) N - Green
A) One B) Two C) P- Green D) Q - Pink
C)Three D) Four E) None of these
E) None Q 33. If all the six chemicals are arranged
Q 27. P is related to A in the same was as is alphabetically from left to right, positions of
related To B based on the given arrangement. how many will remain unchanged?
To which of the following is T related to, A) One B) Two C) Three
following the same pattern ? D) Four E) None
A) C B)D Circular Arrangements:
C)E D)F Directions – (Q. 1– 5 ) Study the following
(E) Cannot be determined information to answer the given questions –
Q 28. Which of the following is true regarding A, B, C, D, E, F and G are sitting along a
T? circle facing at the centre and are playing
A F faces T cards.. E is the neighbour of A and D. There is
B)V is an immediate neighbour of T one person between F and C but G is not
C) F faces the one who is second to right of T between F and C. F is on the immediate right
D) T sits at one of the extreme ends of the line of A.

55 | Page
Q 1. Who are the neighbours of B? Q 11. In which of the following is the first
A) C and D B) F and C person sitting in between the second and the
C) A and F D) Data inadequate third person?
E) None of these A NHM B) PHN C)TRP
Q 2. Which pair given below has the D) TWF E) None of these
second person sitting immediately to the right Directions (Q. 12-16):Study the following
of the first? information and answer the questions given
A) CB B) DG below:
C) EA D) AB A,B,C,D,E,F,G and H are sitting around a
E) None of these circle facing the centre . D is fourth to the right
Q 3. Which of the following has the person of H and second to the left of B.. F is fourth to
sitting adjacent to each other from left to right the right of B. C is fourth to the right of E who
in order as given? is not immediate next to B or D. A is not an
A) CDG B) EDG immediate neighbour of D.
C) BGC D) FBC Q 12 .What is B`s position with respect to G?
E) None of these A Third to the right B) Third to the left
Q 4. What is the position of F? C) Fifth to the right D) Fourth to the left
A) To the immediate left of A E) Fourth to the right
B) To the immediate right of B Q 13. In which of the following
C) 2nd to the right of C combinations is the third person sitting in
D) 3rd to the left of D between the first and the second person?
(E) None of these A ABC B)GCD
Q 5. Which of the following does not have the C) AHE D) CBA
pair sitting adjacent to each other? E)None of these
A) BA B) CB C) DE Q 14. Who is third to the right of A?
D) D E) All are sitting adjacent to A H B) E C)F
each other D) A E) None of these
Directions (Q. 6-1A:Study the following Q 15. Who is to the immediate left of D?
information and answer the questions given A G B) C C) F
below: M, N, P, R, T, W, F and H are sitting D) H E) None of these
around a circle facing the centre. P is third to Q 16. Who is fourth to the left of G?
the left of M and second to the right of T. N is A E B) F C) A
second to the right of P. R is second to the D) H E) None of these
right of W, who is second to the right of M. F Directions (Q. 17-2A:Study the following
is not an immediate neighbour of P. information and answer the questions given
Q 6. Who is to the immediate right of P? below:
A)H B) F A,B,C,D,E,F,G and H are sitting around a
C) R D) Data inadequate circle facing the centre .H is fourth to the left
E) None of these of B and second to the right of F. A is third to
Q 7. Who is to the immediate right of H? the left of C, who is not an immediate
A) R B) F C) M neighbour of F. G is second the left o A. D is
D) Data inadequate E) None of these second to the right of E
Q 8. Who is to the immediate left of R? Q 17. Who is on the immediate right of F?
A) P B) H C) W A H B) A C) G
D) T E) Data inadequate D) Data inadequate E) None of these
Q 9. Who is third to the right of H? Q 18. Who is third to the left of A?
A) T B) W C) R A C B) F C) B
D) F E) Data inadequate D) Data inadequate E) None of these
Q 10. Who is second to the right of F? Seating Arrangement
A M B) R C)T Q 19. In which of the following pairs is the
D) Data inadequateE) None of these first person sitting on the immediate left of the

56 | Page
second person? Shikha. Bharat does not sit at any of
A EH B) CE C) AF the corners. Meenal sits third to the
D) DB E) None of these right of Peter. Peter is not an
Q 20. Which of the following pairs immediate neighbour of Shikha.
represents the immediate neighbours of E? Rumia and Ketan are immediate
A DH B) HC C) CA neighbours of each other but Rumia
D) Data inadequate E) None of these does not sit at any of the corners of the
Q 21. Who is on the immediate right of H? table. Harleen is neither an immediate
A E B) C C) H neighbour of Peter nor Shikha.
D) Data inadequate E) None of these Q 27. Four of the following five are alike in
Directions (Q. 22-26):Study the following a certain way and so from a group. Which is
information and answer the questions given the one that does not belong to that group ?
below: A Peter B) Rumia C) Harleen
A,B,C,D,E,F,G and H are sitting around a D) Shikha E) Bharat
circular table. Only E, D and G are facing Q 28. Who sits third to the left of Ali ?
outside the table, while rest are facing the A Bharat B) Rumia
centre of the table. B is second to the right of C) Shikha D) Peter
A, who is fifth to the right of E. C is third to E) Cannot be determined
the left of D, who is sitting second to the right Q 29. What is the position of Peter with
of B. F is second to the left of G. respect to Meenal ?
Q 22. Who is third to the left of G? A To immediate left B) Second to the left
A H B) E C)FD) C) Third to the left D) Third to the right
Data inadequate E) None of these E) Second to the right
Q 23. Who is second to the right of H? Q 30. Who amongst the following sits
A A B) B C)C second to the right of Ketan ?
D) Data inadequate E) None of these A Shikha B) Ali C) Bharat
Q 24. If H and G interchanges their D)Harleen E) Meenal
positions, who will be third to the right of D? Q 31. Who amongst the following represent
A A B) B C)H the immediate neighbours of Harleen ?
D) C E) None of these A Meenal, Ketan B) Bharat, Rumia
Q 25. In which of the following C) Bharat, Meenla D) Ali, Rumia
combinations, is the first person sitting E) Ketan
between the second and the third persons? Q 32. Who amongst the following sits
A CAG B) AGB exactly between Peter and Ali ?
C)DEF D) EHC A Only Bharat B) Ketan and Rumia
E) None of these C) Only Harleen D) Harleen and
Q 26. Who is fourth to the right of F? Meenal E) No one
AH B) E C)D Seating Arrangement
D) C E) None of these Q 33. Who amongst the following is an
Directions ( Q27 – 33 ) : Study the following immediate neighbour of Meenal ?
information carefully and answer the questions A Rumia B) Ali C) Ketan
given below. D)Harleen E) Shikha
Eight friends , Meenal, Rumia, Shikha, Ali, (34 – 36) Eight friends A,B,C,D,E,F,G and H
Peter, Harleen, Ketan and Bharat are sitting are sitting around a circle facing centre. 4 of
around square table in such a way that four of them drive a car and other 4 ride a bike. No
them sit at four corners of the square while two riding bike sit together.
four sit in the middle of each of the four sides. A is 3rd to the left of H and A does not ride a
The ones who sit at the four corners face the car. G who ride a bike is 2nd to the right of E.
centre while those who sit in the middle of the F is neighbour of both B and C, and F does not
sides face outside. drive a car. C is also a neighbour of H.
Bharat sits second to the right of Q 34. Who is 3rd to the right of F?

57 | Page
A B B) A C) D A] South-East B] East
D) H E) None of these C] West D] North-West
Q 35. Who among the following does not
drive a car? 5. At what angle are the hands of a clock
A)A B) B C) E inclined at 4 hours 20 minutes?
D) C E) All above drive car A] 5° B] 10°
Q 36. If all arranged in alphabetical order C] 20° D] 25°
starting from A in anti-clockwise direction,
then positions of how many people will remain 6. How many degrees does an hour-hand move
unchanged excluding A. in 10 minutes?
A One B) Two C) Three A] 10° B] 20°
D) Four E) None
C] 15° D] 5°
7. How many degrees will the minute-hand
movie, in the same time, in which the hour-
hand moves 10°?
A] 40° B] 80°
C] 120° D] 160°
8. A boy observes the reflection of a wall clock
in a mirror: The time observed by the boy in
Calendar and Clock the mirror is 4 hours 20 minutes. What is the
actual time shown on the clock?
[LEVEL – BEGINNER] A] 7 hours 15 minutes
1. What is the angle between the two hands of B] 7 hours 50 minutes
a clock, when the clock shows 3 hours 25
minutes? C] 7 hours 40 minutes
D] 7 hours 35 minutes
9. How many degrees will the minute-hand
A] B] 46° move, in the same time in which the second
hand moves 300°?
A] 6° B] 5°
C] D]
C] 4° D] 10°
2. What is the angle between the two hands of
a clock, when the time is 2 hours 35 10. If the time in clock is 7 hours 15 minutes,
minutes? then what time does it show on the mirror?
A] 4 hours 50 minutes

A] B] B] 4 hours 40 minutes
C] 4 hours 35 minutes
D] 4 hours 45 minutes
C] D]
11. An accurate clock shows 8 o'clock in the
3. At what angle are the hands of a clock morning. Through how may degrees will the
inclined at 20 minutes past 7? hour hand rotate when the clock shows 2
A] 80° B] 90° o'clock in the afternoon?

C] 100° D] 120° A] 144º B] 150º

4. The time on the watch is 4:30. If the minute C] 168º D] 180º

hand points towards the south, the hour hand
will point towards

58 | Page
12. The reflex angle between the hands of a A] Friday B]Sunday
clock at 10.25 is C] Wednesday D] Saturday
22. If 31st January, 2012 is on Sunday, then what day
of the week was 30th July, 1993?
A] 180° B]
A] Monday B] Sunday
C] Friday D] Wednesday
C] 195° D] 23. It was Sunday on Jan 1, 2006. What was the day
of the week Jan 1, 2010?
13. A clock is started at noon. By 10 minutes
past 5, the hour hand has turned through: A] Sunday B] Saturday
C] Friday D] Wednesday
A] 145o B] 155o
C] 158o D] 160o 24. What was the day of the week on 28th May,
2006?
14. At what angle the hands of a clock are
inclined at 15 minutes past 5? A] Thursday B] Friday
C] Saturday D] Sunday
25. What was the day of the week on 17th June,
A] B] 1998?
A] Monday B] Tuesday
C] D] C] Wednesday D] Thursday

15. At 3:40, the hour hand and the minute hand 26. What will be the day of the week 15th
of a clock form an angle of: August, 2010?

A] 120° B] 125° A] Sunday B] Monday

C] 130° D] 135° C] Tuesday D] Friday

16. If 22nd April, 1982 was Thursday, then what day 27. Today is Monday. After 61 days, it will be:
of the week was 3rd November, 1982? A] Wednesday B] Saturday
A] Monday B] Wednesday C] Tuesday D] Thursday
C] Friday D] Sunday 28. On 8th Feb, 2005 it was Tuesday. What was
17. If 30th June, 1989 was a Friday, then what day of the day of the week on 8th Feb, 2004?
the week was 17th September, 1993? A] Tuesday B] Monday
A] Monday B] Wednesday C] Sunday D] Wednesday
C] Friday D] Sunday 29. The calendar for the year 2007 will be the
th
18. If 26 February, 2014 is on Wednesday, then same for the year:
what day of the week is on 14th July, 2017? A] 2014 B] 2016
A] Friday B]Saturday C] 2017 D] 2018
C] Wednesday D] Sunday 30. Which of the following is not a leap year?
th
19. If 10 April, 1963 was Wednesday, then what day A] 700 B] 800
of the week was 23rd August, 1959? C] 1200 D] 2000
A] Sunday B]Monday
C] Friday D] Tuesday
20. If 4th August, 1996 was a Sunday, then what day [LEVEL – EXPERT]
of the week was 12th April, 1992?
A] Friday B]Saturday 1. If 20th January, 2000 was a Thursday, then
C] Monday D] Sunday what day of the week was 26th February, 1997?

21. If 1st January, 2012 is on Sunday, then what day A] Tuesday B] Sunday
of the week is 1st January, 2016? C] Wednesday D] Thursday

59 | Page
2. On which dates of March, 2008 will a A] 2600 B] 2700
Sunday, come?
C] 2800 D] 3000
A] 2, 9, 16, 23, 30B] 1, 8, 15, 22, 29
11. What day of the week was 18th July, 1978?
C] 7, 14, 21, 28 D] 3, 10, 17, 24, 31
A] Sunday B] Monday
3. If holiday are declared only on Sundays and
19th March in a particular year was a C] Tuesday D] Friday
Sunday, is 23rd September a holiday in that
12. What day of the week would be 26 th March,
year?
2023?
A] Yes, 23rd September is a holiday
A] Sunday B] Monday
B] 23rd September is not a holiday
C] Tuesday D] Friday
C] 23rd September is a holiday only if it is a
leap year 13. Which will be the next leap year after 2096?
D] Cannot be determined A] 2100 B] 2102
4. If today is Sunday, then what day of the C] 2104 D] 2108
week will be the 426th day from today?
14. On 8th Dec, 2007 Saturday falls. What day
A] Saturday B] Friday of the week was it on 8th Dec, 2006?
C] Tuesday D] Wednesday A] Sunday B] Thursday
5. If today is Wednesday, what day will it be, 1 C] Tuesday D] Friday
year and 10 days from today?
15. How many days are there in x weeks x days?
A] Sunday B] Friday
A] 7x2 B] 8x
C] Sunday D] Cannot be C] 14x D] 7
determined
16. At what time between 6 and 7 O'clock, are
6. If the first day of the year 2005 is a
the hands of a clock together?
Saturday, then what day of the week will be
1st January, 2009?
A] Thursday B] Friday
A] 6 hours minutes
C] Sunday D] Monday
7. What day of the week will 1st January, 2018 B] 6 hours minutes
be, given that 1st January, 2012 is a
Saturday?
A] Monday B] Saturday C] 6 hours minutes
C] Sunday D] Friday
8. Which year will have the same Calendar as D] 6 hours minutes
that of 2002?
17. At what time between 3 and 4 O'clock are
A] 2008 B] 2011 the hands of a clock in the opposite direction?
C] 2009 D] 2013
9. Which year will have the same calendar as
that of 2008? A] 3 hours minutes
A] 2014 B] 2024
C] 2032 D] 2036 B] 3 hours minutes

10. Which among the following years is a leap

year?

60 | Page
 22. A watch, which gains uniformly, was
observed to be 4 minutes, slow at 6 a.m. on a
C] 3 hours minutes Monday. On the subsequent Thursday at 7
p.m. it was noticed that the watch was 6
minutes fast. When did watch show the
D] 3 hours minutes correct time?
18. At what angle are the hands of a clock A] 5 p.m. Tuesday
inclined at 20 minutes past 7?
B] 4 p.m. Tuesday
A] 80° B] 90°
C] 100° D] 120° C] 6 p.m. Tuesday

19. The angle between the two hands of a clock D] 3 p.m. Tuesday
is 70°, when the hour hand is between 7 and 23. The minute-hand of a clock overtakes the
8. What time doest the watch show? hour-hand at intervals of 66 minutes of the
correct time. How much in a day does the
clock gain or lose?
A] 7 hours minutes

A] minutes
B] 7 hours minutes

B] minutes
C] 7 hours minutes
D] Both (1) and (2)
C] minutes
20. What time does the clock show when the
hour hand is between 3 and 4 and the angle
between the two hands of the clock is 50°?
D] minutes
24. A watch is 1 minute slow at 1 pm. on
A] min past 3 Tuesday and 2 minute fast at 1 pm. on
Thursday. When did it show the correct
time?

B] min past 3 A] 1.00 pm on Wednesday

B] 1.00 am on Wednesday
C] 5.00 pm on Wednesday
C] min past 3
D] 5.00 am on Wednesday
D] Both (1) and (2)
25. A watch which gains 5 seconds in 3 minutes
21. At what time between 5 and 6 O'clock, will
was set right at 7 a.m. In the afternoon of the
the hands of a clock be at an angle of 62°?
same day, when the watch indicated quarter
past 4 o'clock, the true time is:

A] 5 hours minutes
A] min. past 3

B] 5 hours minutes B] 4 p.m.

C] 5 hours 16 minutes
D] Both (2) and (3) C] min. past 3

61 | Page
 D] min. past 3 D] min. past 9
26. At what time between 7 and 8 o'clock will
the hands of a clock be in the same straight
line but, not together?
A] 5 min. past 7

B] min. past 7

C] min. past 7

D] min. past 7
27. The angle between the minute hand and the
hour hand of a clock when the time is 8.30,
is:
A] 80º B] 75º
C] 60º D] 105º
28. How many times in a day, are the hands of a
clock in straight line but opposite in direction?
A] 20 B] 22
C] 24 D] 48
29. At what time between 4 and 5 o'clock will
the hands of a watch point in opposite
directions?
A] 45 min. past 4
B] 40 min. past 4

C] min. past 4

D] min past 4
30. At what time between 9 and 10 o'clock will
the hands of a watch be together?
A] 45 min. past 9
B] 50 min. past 9

C] min. past 9

62 | Page
Problems On Data Interpretation
Level:- Beginner
Directions (1-5): Read the following pie-chart to answer the questions given below it:

Q1. If the total amount spent during the year 1998 was Rs. 46000/-, the amount spent on food,
was:
(A) Rs. 2000/- (B) Rs. 10580/- (C) Rs. 23000/- (D) Rs. 2300/-

Q2. If the total amount spent was Rs. 46000/-, how much was spent on clothing and housing
together?
(A) Rs. 11500/- (B) Rs. 1150/- (C) Rs. 10000/- (D) Rs. 15000/-

Q3. The ratio of the total amount of money spent on housing to that spent on education was:
(A) 5 : 2 (B) 2 : 5 (C) 4 : 5 (D) 5 : 4

Q4. Graph shows that the maximum amount was spent on:
(A) Food (B) Housing (C) Clothing (D) Others

Q5. If the total expenditure of the family for the year 1998 was Rs. 46000/-, the family saved
during the year.
(A) Rs. 1500/- (B) Rs. 15000/- (C) Rs. 6900/- (D) Rs. 3067/- approx.

63 | Page
Direction(6-10): The bar graph given below shows the sales of books (in thousand number)
from six branches of a publishing company during two consecutive years 2000 and 2001.
Sales of Books (in thousand numbers) from Six Branches - B1, B2, B3, B4, B5 and B6 of a
publishing Company in 2000 and 2001.

Q6. What is the ratio of the total sales of branch B2 for both years to the total sales of branch
B4 for both years?
(A) 2:3 (B)3:5 (C)4:5 (D)7:9

Q7. Total sales of branch B6 for both the years is what percent of the total sales of branches B3
for both the years?
(A) 68.54% (B)71.11% (C)73.17% (D)75.55%

Q8. What percent of the average sales of branches B1, B2 and B3 in 2001 is the average sales of
branches B1, B3 and B6 in 2000?
(A) 75% (B) 77.5% (C) 82.5% (D) 87.5%

Q9. What is the average sales of all the branches (in thousand numbers) for the year 2000?
(A) 73 (B) 80 (C) 83 (D) 88

Q10. Total sales of branches B1, B3 and B5 together for both the years (in thousand numbers)
is?
(A) 250 ( B) 310 (C) 435 (D) 560

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Directions: ( 11–15): Read the graph and answer questions Income and Expenditure of a
company over the year (in lakhs of rupees).

Q11. The ratio of the average income of all the years to the average profit is :
(A) 24 : 13 (B) 48 :17 (C) 12 : 7 (D) 6 : 5

Q12.Percentage increase in profit in 1986 over 1982 is:

(A) 150 % (B) 120 % (C) 100% (D) 80%

Q13. The total income exceeds the total expenditure over the year 1982 to 1986 by:
(A) 85 lakhs (B) 105 lakhs (C) 115 lakhs (D) 120 lakhs

Q14. What is the difference in profit between 1983 and 1984 (in lakhs of rupees) :
(A) No profit (B) 5 (C) 10 (D) 15

Q15. The number of years in which the income is more than the average income of the given
year is:
(A) One (B) Two (C) Three (D) Four  

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 Direction(16 -20): The following bar graph shows the Income and Expenditures (in million
US $) of five companies in the year 2001. The percent profit or loss of a company is given by-

Q16. The companies M and N together had a percentage of profit/loss of?

(A) 12% loss (B) 10% (C) 10% profit (D) no loss or profit

Q17. In 2001, what was the approximate percentage of profit/loss of all the five Companies
taken together?

(A) 5% profit (B) 6.5% profit (C) 4% loss (D) 7% loss

Q18. Which company earned the maximum percentage profit in the year 2001?

(A) M (B) N (C) P (D) Q

Q19. For Company R, if the expenditure had increased by 20% in year 2001 from year 2000 and
the company had earned profit of 10% in 2000, what was the Company's income in 2000 (in
million US $)?

(A) 35.75 (B) 37.25 (C) 38.5 (D) 41.25

Q20. If the income of Company Q in 2001 was 10% more than its income in 2000 and the
Company had earned a profit of 20% in 2000, then its expenditure in 2000 (in million US $)
was?

66 | Page
 (A) 28.28 (B) 30.30 (C) 32.32 (D) 34.34

Level:- Medium

Directions for 1 to 5: These questions are based on the pie chart given below.
Constituents of Sunrays received in 1 minute

Total sunrays received in 1 minute = 3600 units

1. If the human body can withstand a maximum of 9720 units of IR rays, when exposed
to the sun continuously, then what is the maximum time (in minutes) that any person
could stand in the sun without crossing the threshold limit of IR rays?
A] 19 B] 23 C] 27 D] 29

2. The amount of Beta rays in 10 minutes of sunrays is how many times the amount of
IR rays in 3 minutes of sunrays?
A] 1.33 B] 1.44 C] 1.66 D] 1.55

3. How many minutes of exposure to the sun in a day would be enough to ensure that
the body receives enough amount of Vitamin D, given that the body requires 40 units
of Vitamin D every day and that 30 units of Beta rays generate in 1 unit of Vitamin
D?

A] B] C] D] 6

4. The amount of Alpha rays received in 2 minutes is how many more/less than the
amount of radio saves received in 4 minutes?
A] 1200 units less B] 1320 units more
C] 1440 units less D] 1600 units more

67 | Page
 5. If presently the ozone layer in the atmosphere reflects away 60% of the sun's rays
then what would the amount of gamma rays received in one minute be, if the ozone
layer were to completely disappear?
A] 100 units B] 200 units C]300 units D] 450 units

Directions for 6 to 10: These questions are based on the line graph below.
(in Rs. lakhs)

Total Cost = Manufacturing Cost + Advertising Cost

6. For which of the following cars is the manufacturing cost as a percentage of

advertising cost the least?
A] Xing B] City C] Lancer D] Zen

7. In a certain year, 30, 000 "City" cars, are produced, and are sold at Rs. 9.3 lacs/car. If
2% of the total profit is given as a bonus to the 2,040 engineers, the amount received
by each engineer as bonus is (in Rs.)
A] 5, 000 B] 50, 000 C] 5 lacs D] None of these

8. Which of the following statements is true?

A] The difference in the manufacturing and the advertising costs of Optra is the same as
that of Versa.
B] The ratio of the manufacturing to the advertising cost of Zen is the same as that
of Xing.
C] The total cost of Zen and Xing put together is less than the total cost of Lancer.
D] None of these

9. The company that manufactures Zen produces 500 Zen cars per day while the
company that manufactures City produces 600 City per day. They sell them at Rs. 6

68 | Page
 lacs/car and Rs. 8.4 lacs/car respectively. The profit made by the former is
approximately what percentage of that of the latter?
A] 100% B] 156% C] 250% D] None of these

10.The ratio of the manufacturing cost to the total cost is the least for
A] Optra B] Zen C] City D] Lancer

Directions for 11 to 15: These questions are based on the line graph given below which
represents the Earnings Per Share (EPS) of three companies STC, TSC and MIE for the years
1991-1992 to 1995-1996.
(EPS in Rs.)

11. If TSC has 15, 000 shares in 1994-1995 and 31, 000 shares in 1995-1996, then find
the approximate percentage change in profit available for shareholders from 1994-
1995 to 1995-1996.
A] 35% B] 59.6% C] 44.1% D] 61%

12. If the number of shares of TSC in 1993-1994 is the same as in 1994-1995, then which
of the following is true.
A] Ratio of EPS for both these years is the same as that of the profit available
from shareholders.
B] Profit available for shareholders for these two years is the same.
C] Ratio of EPS for these two years in half that of the profit available for the share
holders.
D] Both (1) and (2)

13. If TSC, STC and MIE have 10, 000, 25, 000 and 15, 000 shares respectively in 1991-
1992, then which company has the maximum profit available for shareholders in that
year?

69 | Page
 A] TSC B] STC C] MIE D] STC and TSC

14. If TSC and STC have Rs. 6 lacs each as profit available for shareholders in 92-93, then
the ratio of the number of shares of STC and TSC is
A] 1 : 1 B] 4 : 5 C] 5 : 4 D] 20 : 12
15. If STC has to pay 10% of the profit available for share-holders as tax in the year 1993-
1994, then the tax payable for 12, 000 shares is
A] Rs. 62, 200 B] Rs. 55, 200 C] Rs. 60, 000 D] Rs. 50, 000

Directions for 16 to 19: The following questions are based on the stacked bar graph given
below.
Sales of various precious stones in India for the period of 1995-1996 to 1999-2000

16. What is the total sales of ruby as a percent of the total sales of precious stones for the
given period?
A] 17.3% B] 19.23% C] 23.1% D] None of these

17. By what percent is the average annual sales of Emerald for the given period more
than the sales of Opal in 1998-1999?
A] 120% B] 50% C] 25% D] 40%

18. For how many years is the sales of Bezel as a percentage of the total sales of precious
stones less than that of Topaz?
A] One B] Two C] Three D] Four

19. If the sales of Topaz increased from 1994-1995 to 1995-1996 by 25% and increased
from 1999-2000 to 2000-01 by 50%, then what is the difference between the sales of
Topaz in 1994-95 and that in 2000-01?
A] 50, 000 tonnes B] 100, 000 tonnes

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 C] 140, 000 tonnes D] 160, 000 tonnes

Level:- Expert

Directions for 1 to 4: The following questions are based on the stacked bar graph given below.
Sales of various precious stones in India for the period of 1995-1996 to 1999-2000

1. What is the total sales of ruby as a percent of the total sales of precious stones for the
given period?
A] 17.3% B] 19.23% C] 23.1% D] None of these
2. By what percent is the average annual sales of Emerald for the given period more than
the sales of Opal in 1998-1999?
A] 120% B] 50% C] 25% D] 40%
3. For how many years is the sales of Bezel as a percentage of the total sales of precious stones
less than that of Topaz?
A] One B] Two C] Three D] Four
4. If the sales of Topaz increased from 1994-1995 to 1995-1996 by 25% and increased from
1999-2000 to 2000-01 by 50%, then what is the difference between the sales of Topaz in 1994-
95 and that in 2000-01?
A] 50, 000 tonnes B] 100, 000 tonnes
C] 140, 000 tonnes D] 160, 000 tonnes

Direction for Question 5 to 9: Total numbers of users are 12 crores

71 | Page
The table shows the ratio of male to female users among these mobile phone users.
Company Male :
Name Female
L.G. 5:3
Nokia 5:4
Reliance 1:1
Spice 2:1
Micromax 4:5
Motorola 5:7
Samsung 3:2

5. What is the total number of females using Nokia phones?

A] 0.96 crore B] 1.4 crore C] 1.12 crore D ]1.32 crore

6. What is the difference between the total male and female mobile users?
A] 2.136 crores B] 1.326 crores C] 0.854 crores D] 1.46 crore

7. Number of females L.G. users is what percentage of number of male L.G. users?
A] 90% B] 80% C] 65% D] 60%

8. What is the ratio of the total number of male Spice users and the total number of female
Reliance users?

72 | Page
 A] 1:2 B] 1:3 C] 1:4 D] 2:3

9. Number of male Motorola users is how much percentage less than that of the number
of female Micromax users?
A] 50% B] 123.33% C] 60% D] 55%

Directions for Question 10-15 : Following pie charts show the distribution of annual
expenditure of two persons Ramesh and Shyam. Answer the following questions based on
these charts. Total expenditure of Ramesh and Shyam is Rs 4.5 and 5.4 lakhs respectively.

10. What is the amount Ramesh and Shyam save yearly?

A] 1.25 lakhs B] 1.20 lakhs C] 1.15 lakhs D] 1.10 lakhs

11. What is the ratio of the amount spent on clothes by Ramesh than that of Shyam?
A] 4:5 B] 3:5 C] 2:3 D] 3:4

12. Money spent by Shyam on food is what percentage of the money spent by Ramesh on
education?
A] 80% B] 100% C] 120% D] 150%

13. What is the average of the amount spent for house rent by Ramesh and Shyam?
A] 0.75 lakhs B] 0.84 lakhs C] 1 lakhs D] 1.2 lakhs

14. Money spent by Shyam on education is how much percentage more than that of money
spent by Ramesh on education?
A] 20% B] 22.5% C] 25% D] 27.5%
Directions for 15 to 19: These questions are based on the following graph.
The Country wise break up Exports/Import of Country 'XYZ' in 1996
(in Rs. thousand crores)

73 | Page
Trade Surplus = Exports – Imports; Trade Deficit = Imports – Exports
15. The cumulative trade deficit of country XYZ is approximately what percent of its
average imports from each of the above mentioned countries?
A] 65% B] 9% C] 6.5% D] 0.6%
16. If the average cost of exports is Rs. 2000 per ton and that of imports of Rs. 3000 per ton,
then by what percent is the total tonnage of exports more/less than the total tonnage of
imports
A] 33.3% more B] 49% less C] 32.8 % more/less D] 49% more
17. By what percentage are the imports from the country to which the exports are the highest
more than the exports to the country from which the imports are the least?
A] 175% B] 80% C] 55.55% D] 125%
18. Which of the following statements is definitely true?
A] Country XYZ has a cumulative trade surplus of Rs. 1 crore
B] The cumulative trade deficit of country XYZ is approximately one-fifteenth
of its total imports.
C] The trade deficit of country XYZ considering its trade with China alone is 300%
more than its cumulative trade deficit/surplus.
D] The difference between the highest exports to any country and the lowest
imports from any country is equal to the average of the exports to Brazil and
Germany.
19. What is the ratio of the total imports from Brazil, Japan, South Africa, Russia and China,
to the total exports to the other five countries?
A] 0.975 B] 1.026 C] 0.96 D] None of these

74 | Page
Data Sufficiency I. You must see is written as “la pa ni” and “did
you
See” is written as “ jo ni pa” in that code
Level:- Beginner language.
II. “You did that” is written as “ pa si jo” in that
Directions: Each of the questions below consists code language .
of a question and two statements numbered I and
II are given below it. You have to decide 5. On which day of the week does Arti’s
whether the data provided in the statements are birthday fall ?
sufficient to answer the question. Read both the I. Sonu correctly remembers that Arti’s birthday
statements and falls after Wednesday but before Sunday.
Give answer (1) if the data in Statement I alone II. Raj correctly remembers that Arti’s birthday
are sufficient to answer the question, while the falls before Friday but after Tuesday .
data in Statement II alone are not sufficient to
answer the question. 6. How is “sure” written in a code language ?
Give answer (2) if the data in Statement II alone I. “ he is sure” is written as “ja ha ma” is that
are sufficient to answer the question, while the code language.
data in II. “is she sure” is written as “ka ja ma” is that
Statement I alone are not sufficient to answer the code language.
question.
Give answer (3) if the data in Statement I alone 7. Among P, Q,R, S and T each having different
or in Statement II alone are sufficient to answer age, who is the youngest among them ?
the I. Q is younger than only P.
question. II. S is older than only R.
Give answer (4) if the data in both the
Statements I and II even together are not 8. On which day of the week did Sourav visit
sufficient to answer the Delhi ?
Question. I. Sourav visited Delhi after Monday but before
Give answer (5) if the data in both the Thursday but not on an odd day of the week.
statements I and II even together are necessary II. Sourav visited Delhi before Friday but after
to answer the Monday
question.
1. How is A related to B?
I . A is the sister-in-law of C, who is the 9. What is R’s position from the left end in a
daughter-in law of B, who is the wife of D. row?
II. B is the mother of A’s son’s only uncle’s son. I. M is tenth from the left end of the row.
II. There are sixteen children between M and R.
2. Amongst A, B, C, D, E and F, each are having
a different height. Who is the shortest? 10. Town P is towards which direction of town T
I. C is shorter than only B. ?
II. A is taller than only D and F. I. Town T is towards South of town K, which is
towards West of town P.
3. Point X is in which direction with respect to II. Town P is towards South of town V and
Y? towards East of town T .
I . Point Z is at equal distance from both point X
and point Y. 11. How is J related to M ?
II. Walking 5 km to the East of point X and I. M has only one brother and two sisters.
taking two consecutive right turns after walking II. J is daughter of T who is wife of M .
5 kms before each turn leads to point Y.
12. On which day was Yasir born ? (His date of
4. How is ‘must’ written in a code language ? birth is February 29 . )

75 | Page
I. He was born between year 2005 and 2011. I. M is brother of P and T is sister of P.
II. He will complete 4 years on February 29, II. P’s bother is married to J’s husband who has
2012. one son and two daughters.

13. Out of 64 students, 38 play both chess and

cricket. How many students play only chess ? Level:- Medium
I. Out of 64 students , 22 students don’t play any
game. 4 students play only cricket . Directions for data sufficiency questions (1-10):
II. Out of 64 students, 20 are girls and 10 of a) If data in the statement I alone is
them don’t play any game. sufficient to answer the question.
b) If data in the statement II alone is
14.What is the total number of students in the sufficient to answer the question.
school? c) If data either in the statement I alone or
I. The ratio of girls to boys is 2 : 3 statement II alone are sufficient to
II. The number of students has grown by 5% this answer the question.
year as compared to 4% last year from the d) If data given in both I & II together are
number 2001, which it was year before last . not sufficient to answer the question.
e) If data in both statements I & II together
15. Who among the six of them is the tallest if are necessary to answer the question
Geeta is taller than Shilpa and Deepa is taller
than Meena ? ( Sunita and Sadhana are the other Question 1. Who is taller among P, Q, R, S & T?
two. ) . 1. S is shorter than Q. P is shorter than only T.
I. Sadhana is taller than Sunita. 2. Q is taller than only S. T is taller than P and
II. Sadhana is taller than Shilpa and Meena as R.
well as Deepa.
Question 2. What is the distance between point P
16. On which date is Arit’s birthday is and point Q?
September 2010 ? I. Last year his birthday was 1. Point R is 10 m west of point P and point S is
on the last Thursday of the month in September 10 m north of point P.
2010 ? 2. Point Q is 10 m south-east of point R. Point S
II. This year his birthday will be on the last is 20 m north-west of point Q.
Friday of the months in September 2010 .
Question 3. How is Shubham related to Shivani?
17. How is “never” written is code language ? 1. Shubham is brother of Meenal. Shivani is
I. “ never ever go there” is written as “ na ja ni niece of Pooja.
ho” is that code language. 2. Neeraj is Meenal’s uncle and Preeti’s brother
II. “ go there and come back” is written as “ ma
ho sa ni da” is that code language. Question 4. How is PRODUCT written in that
code language?
18. Among M, P, K , J, T and W who is lighter 1. In a certain code language, AIEEE is written
than only the heaviest ? as BJFFF.
I. P is heavier than M and T. 2. In a certain code language, GYPSY is written
II. W is heavier than P but lighter than J who is as FXORX
not the heaviest .
Question 5. How is ‘face’ written in that code
19. What does “$” mean in a code language ? language?
I. “ 5 $ # 3” means “flowers are really good”. 1. In a certain code language, ‘no one with face’
II. “ 7 # 3 5” means “good flowers ane available is coded as ‘fo to om sop’ and ‘no one has face’
. is coded as ‘om sit fo sop’

20.How is P related to J ?

76 | Page
2. In a certain code language, ‘face of no light’ I. C lives on an even numbered floor. A lives
is coded as ‘om mot fo kiz’ and ‘no one is smart’ immediately above D. B lives immediately
is coded as ‘sop fo sip lik’. above A . E
does not live on the topmost floor .
Question 6. What is Monica’s position with II. D lives on an-odd numbered floor . A and B
respect to Rahul? are immediate neighbours of each other .
1. In a row of 25 students, Monica is sitting 12th Similarly, C and E are immediate neighbours of
from right end of row and Rahul is sitting 20th each other, C does not live on an odd numbered
from left end of the row. floor.
2. Monica is 4th from right end and Rahul is 8th
from left end. 13. Are all the four friends Abhay , Kavita
Prashant an Yasir who are sitting around a
Question 7. Who has secured less marks among circular table facing the centre.
P, Q, R , S & T ? I. Kavita sits second to left of Abhya. Abhay
1. S has secured less marks than only R and T. faces the centre. Yasir sits to the immediate right
2. Q secured more marks than P. of Abhay as well as Kavita.
II. Prashant sits third to the right of Kavita .
Question 8. On which floor is Shikha residing? Abhay sits to immediate right of Prashant as
1. In a six storey building (Ground floor is well as yasir.
parking space), Rekha is on fourth floor. Shikha
likes to reside only on even numbered floors. 14. Is R the granddaughter of C ?
Reema is not on the topmost floor. I. The only sister of A is the mother of R’s
2. Reema is two floors below Peter who is 3 brother, B.
floors above Shikha. II. C, the mother of A has only one grandson, B.

Question 9 : Amit is facing which direction? 15. Who is oldest among Pete, Kevin, Joseph
1. Shikha is facing east direction and if she turns and Jason ?
to her right she will face Raj. I. Jason is older than Peter and Joseph.
2. Amit is facing opposite direction as that of II. Kevin is younger than Joseph.
Kiran who is facing Shikha.
16. How is “happy” written in a code language ?
Question 10: In which month is Meena’s I. “I happy today” is written as” ke ne que” and
birthday? “today happy day” is written
1. Shikha remembers that Meena’s birthday was II. “I play is written as “que pa” .
4 months ago.
2. Raj remembers that after 2 months from now, 17. H is the mother of J. How is J related to V ?
Meena’s birthday will be 6 months back I. V is the only daughter of H.
II. V is the sister of J.
11. Among A, B, C, D and E, seated in a straight
line,facing North, who sits exactly in the middle 18. What is the colour of white snow in a colour
of the line? code?
I. A sits third of left of D. B sits to the I. Green is called Black, Black is called Blue,
immediate right of C. and Blue is called Red.
II. B sits second to right of A. E is not an II. Red is called White and White is called
immediate right of C. Orange.

12. A six storey building ( consisting of an 19. Six people P, Q, R, S , T and U are seated
unoccupied ground floor and five floors on top around acircular table and are equidistant from
of the ground floor numbered 1, 2, 3, 4 and 5 ) each other. Who is second to the right of T ?
houses different people viz. A, B, C, D and E. I. P is to the immediate left of Q and Q sits
who lives on the third floor. ? opposite R.

77 | Page
II. S is to the immediate left of U. II. R is not am immediate neighbour of either P
or Q.
20. In a six storey building (Consisting of floors
numbered 1, 2,3,4,5 and 6. The ground floor is 6. Which directions is Khartik facing at the
numbered 1, the floor above it is numbered 2 moment ?
and so on ) the third floor is unoccupied . The I. After walking 4 meters early morning from
building houses different people viz. P, Q, R, S point A, khartik is facing the opposite direction
and T, each living on a different floor. On which the sun .
of the floors does T live ? II. Khartick took two consecutive left turns after
I. S lives between the floors on which R and T covering a distance of 3 meters to reach point A.
live.
II. There are two floors between T’s floor and 7. Point A is towards which direction from point
Q’s floor. B.
I. If a person walks 5m towards West from point
A, takes a left turn and walk 5m again, he would
Level:- Expert be 4m
away from point B.
1. Among five friends A, B, C, D and E sitting II. Point A is towards the North of point C, point
around a circular table and facing the centre, C is towards the East of point D and point B is
who is sitting to towards the
the immediate left of A ? East of point D.
I. A sits third to the right of B, D is not an
immediate neighbour of B. 8. Is S the mother of M ?
II. B is an immediate neighbour of C. I. M is sister of Q, Q is sister of R and R is
2. Is X the wife of Y ? daughter of S.
I. X’s daughter M is the only sister of R. R is the II. M is daughter of L and L is sister of V.
son of Y.
II. The mother of Y has only one grandson R. 9. Are all the five friends viz. A, B, C , d and E
who are seated around circular table facing the
3. How many employees are enrolled with the centre.
company I. A sits third to the right of D, D faces the
I. The Employee Engagement survey was centre. B sits second to the right of A.
administered to all employees in the company . II. C sits second to the left of E. E faces the
II. A total of 346 Employee Engagement. centre . D sits second to the right of C.
Surveys were returned to the HR department.
10. How is “ came” written is the code
4. What was the grand total of Team A ? language?
I. Joseph correctly remembers that Team A I. “ We came by car” is written as “ 4 9 2 8” and
scored a grand total of above 85 but below 94 “ can we buy car” is written as “5 8 0 2” .
points. II. “ can car be cheap” is written as “ 8 1 5 3”and
II. Surekha correctly remembers that Team A “came by cheap car” is written as “9 8 4 1” .
scored a grand total of above 80 and below 87
points 11. Which bag amongst P ,W, R,S and T is the
heaviest?
5. P, Q, R, S and T are seated around a circular I . Bag Q is heavier than R and S. . Bag T is
table facing the centre, such that there is equal heavier only than bag P .
space between each of the adjacent members. II. Only three bags are lighter than R. The
Who sits to the immediate right of T ? weight of bag Q is 50 kg . which is 2 kg . more
I. Q sits second to the right of T and S sits than bag R .
second to the left of T.

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12. Are all the five friends viz. A, B, C D and E III. Village M s to the north east of Village J and
who are seated around a circular table facing the north of Village Z.
centre ? (1) Only III
I. A sits third to the left of B. B faces the centre. (2) Only II and III
D and E are immediate neighbours of each (3) All I, II and III are required to answer the
other . C sits question.
second to right of E. (4) Question cannot be answered even with all I ,
II. D sits second to right of C. C faces the centre. II and III
Both E and A are immediate neighbours of D. B (5) None of these
ists second
to right of A. 18. How is the “go” written in a code language ?
I. “ now or never again” is written as “ torn ka
13. Is the time in the clock 9 o’ clock now ? na sa” in that code language .
I. After half an hour, the minute and minute and II.” you come again now” is written as “ ja ka ta
the hour hands of the clock will make an angle sa” in that code language
of exactly 900 with each other. III. “again go now or never “; is written as “ na
II. Exactly 15 minutes back, the hour and the ho ka sa torn” in that cod language
minute’s hand of the clock coincided with each (1) Only I and IIII
other. (2) Only Ii and III
(3) Only I and II
14. Is F the granddaughter of B ? (4) ) All I II and III are required to answer the
I. B is the father of M. M is the sister of T. T is question
the mother of F. (5) None of the
II. S is the son of F. V is the daughter of F . R is
the brother of T.

15. How many daughters does W have ?

I. B and D are sisters of M.
II. M’s father T is husband of W.
III. Out of the three children which T has only
one is a boy .

16. Who among A, B, C , D E and E each

having a different height, is the tallest ?
I. B is taller than A but shorter than E.
II. Only two of them are shorter than C.
III. D is taller than only F.
(1) Only I and II
(2) Only II and III
(3) Only I and III
(4) All I, II and III are required to answer the
question
(5) All I, II and III are not sufficient to answer
the question.

17. Towards which direction is village J from

village W?
I. Village R is to the west of Village W and to
the north of Village T.
II. Village Z is to the east of Village J and to the
south of Village T.

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 TIME & WORK
Level – Beginner   Level – Moderate   Level – expert
1 C 21 A 41 A
2 D 22 C 42 D
3 B 23 B 43 B
4 C 24 C 44 D
5 D 25 D 45 B
6 D 26 B 46 D
7 B 27 B 47 B
8 B 28 B 48 B
9 B 29 B 49 D
10 C 30 D 50 B
11 C 31 A 51 C
12 D 32 C 52 B
13 B 33 C 53 C
14 A 34 B 54 C
15 C 35 B 55 C
16 B 36 A 56 A
17 D 37 D 57 A
18 C 38 B 58 D
19 D 39 B 59 C
20 A   40 A   60 D

PIPES & CISTERN

1 C 11 D
2 B 12 D
3 D 13 A
4 B 14 B
5 D 15 C
6 B 16 B
7 A 17 A

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 8 D 18 B
9 C 19 B
10 B 20 A
Time speed & distance
Level – Beginner Level – Moderate
1 A 11 B 1 B 11 A
2 D 12 C 2 B 12 C
3 B 13 B 3 D 13 C
4 D 14 A 4 A 14 C
5 B 15 C 5 C 15 D
6 A 16 D 6 A 16 D
7 B 17 B 7 B 17 C
8 B 18 A 8 A 18 B
9 B 19 C 9 C 19 D
10 B 20 A 10 D 20 B

Level – expert
1 A 11 B
2 D 12 C
3 A 13 D
4 B 14 B
5 D 15 B
6 C 16 B
7 B 17 D
8 C 18 D
9 B 19 B
10 B 20 D

PROBLEM ON TRAINS BOATS AND STREAMS

1 D 11 C 21 B 1 C 11 B
2 C 12 C 22 B 2 B 12 A
3 B 13 C 23 C 3 B 13 D
4 B 14 B 24 B 4 B 14 C
5 B 15 D 25 B 5 C 15 B
6 B 16 A 26 A 6 C 16 A
7 C 17 B 27 C 7 C 17 B
8 D 18 B 28 D 8 B 18 C
9 B 19 A 29 D 9 B 19 D
10 B 20 A 30 C 10 A 20 C

SYLLOGISM
Level – Beginner

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Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer
1 C 2 C 3 C 4 B 5 D
6 D 7 C 8 D 9 C 10 D
11 A 12 E 13 D 14 E 15 D
16 A 17 C 18 D 19 A 20 D
Level – Moderate
Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer
21 D 22 B 23 D 24 C 25 B
26 C 27 D 28 C 29 C 30 D
31 A 32 C 33 D 34 D 35 D
36 D 37 C 38 D 39 B 40 A
Level – expert
Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer
41 B 42 C 43 D 44 D 45 A
46 D 47 C 48 B 49 D 50 B
51 D 52 D 53 D 54 C 55 B
56 E 57 E 58 A 59 C 60 E

Number ranking
Level – Beginner
Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer
1 C 2 B 3 A 4 D 5 C
6 B 7 C 8 B 9 A 10 B
11 C 12 B 13 A 14 D 15 D
16 D 17 D 18 C 19 B 20 B
Level – Moderate
Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer
21 A 22 C 23 D 24 A 25 D
26 B 27 B 28 B 29 D 30 D
31 B 32 A 33 A 34 D 35 A
36 B 37 C 38 C 39 C 40 A
Level – expert
Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer
41 B 42 C 43 D 44 A 45 C
46 C 47 D 48 A 49 C 50 C
51 B 52 C 53 B 54 B 55 D
56 D 57 C 58 C 59 C 60 D

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 MENSURATION
1 B 2 A 3 D 4 C 5 D
6 A 7 B 8 D 9 B 10 B
11 A 12 A 13 C 14 B 15 D
16 B 17 D 18 D 19 D 20 C
21 A 22 A 23 B 24 A 25 A
26 A 27 D 28 C 29 C 30 C
31 A 32 D 33 B 34 A 35 D
36 C 37 A 38 D 39 C 40 A
41 B 42 B 43 C 44 D 45 C
46 C 47 C 48 B 49 B 50 C

HEIGHT AND DISTANCE

1 B 2 A 3 D 4 B 5 D
6 D 7 C 8 D 9 A 10 B
11 A 12 A 13 D 14 B 15 B
16 C 17 B 18 C 19 C 20 C
21 D 22 C 23 D 24 D 25 C
26 B 27 A 28 C 29 C 30 A
31 C 32 D 33 D 34 B 35 B
36 B 37 D 38 B 39 B 40 A

[CLOCKS & CALENDARS]

Level – Beginner
1 D 2 C 3 C 4 A 5 B
6 D 7 C 8 C 9 B 10 D
11 D 12 D 13 B 14 C 15 C
16 B 17 C 18 A 19 A 20 D
21 A 22 D 23 C 24 D 25 A
26 A 27 B 28 C 29 D 30 A
                   
Level – expert
1 C 2 A 3 B 4 A 5 D
6 A 7 C 8 D 9 D 10 C
11 C 12 A 13 C 14 D 15 B

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 16 A 17 B 18 C 19 D 20 B
21 D 22 B 23 C 24 D 25 B
26 D 27 B 28 B 29 D 30 C

DATA INTEPRETATION
Level – Beginner
Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer
1 B 2 A 3 D 4 A 5 C
6 D 7 C 8 D 9 B 10 D
11 B 12 A 13 A 14 C 15 C
16 D 17 A 18 D 19 D 20 B
Level – Moderate
Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer
1 C 2 C 3 D 4 C 5 D
6 D 7 B 8 C 9 D 10 B
11 C 12 A 13 B 14 D 15 B
16 D 17 C 18 C 19 A    
Level – expert
Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer Q. No. Answer
1 D 2 C 3 C 4 A 5 C
6 B 7 D 8 C 9 D 10 B
11 C 12 B 13 C 14 D 15 C
16 D 17 B 18 D 19 A    

DATA SUFFICIENCY
Level – Beginner
1 D 2 D 3 B 4 A 5 E
6 D 7 B 8 A 9 B 10 A
11 B 12 C 13 A 14 B 15 D
16 C 17 D 18 E 19 E 20 E
Level – Moderate
1 C 2 D 3 D 4 E 5 E
6 A 7 A 8 E 9 D 10 D
11 E 12 A 13 C 14 E 15 E
16 D 17 A 18 B 19 E 20 D
Level – expert
1 A 2 D 3 D 4 E 5 E
6 A 7 A 8 E 9 C 10 D
11 B 12 D 13 C 14 D 15 B
16 D 17 E 18 A        

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