1. Aptitude Questions- MAT/SNAP/BANK PO/ENGINEERING/MBA
PLACEMENT
1. If 𝑎 𝑥
= 𝑏 𝑦
= 𝑐 𝑧
and 𝑏2
= 𝑎𝑐, then y equals :
(a)
𝑥𝑧
𝑥+𝑧
(b)
𝑥𝑧
2(𝑥−𝑧)
(c)
𝑥𝑧
2(𝑧−𝑥)
(d)
2𝑥𝑧
𝑥+𝑧
2. X – Z means X is the mother of Z; X*Z means X is the father of Z and X + Z means X is
the daughter of Z. Now, if M – N * T + Q, than which of the following is not true?
(a) T is N’s daughter
(b) N is wife of Q
(c) M is mother in law of Q
(d) Q is wife of N
(e) T is granddaughter of M
3. In a race of 200m, A can beat B by 31 m and C by 18m. In a race of 350m, C will beat B by
:
(a) 22.75m (b) 25m (c) 19.5m (d) 7
4
7
m
4. Two guns were fired from the same place at an interval of 10 minutes and 30 seconds, but
a person in the train approaching the place hears the second shot 10 minutes after the first.
The speed of the train in km/hr, supposing that speed travels at 330 metres per second, is :
19.8 (b) 58.6 (c) 59.4 (d) 111.80
5. I started on my bicycle at 7.a.m. to reach a certain place. After going to a certain distance,
my bicycle went out of order. Consequently, I rested for 35 minutes and came back to my
house walking all the way. I reached my house at 1.p.m. If my cycling speed is 10kmph
and my walking speed is 1kmph, then on my bicycle I covered a distance of?
(a) 4
61
66
𝑘𝑚 (b) 13
4
9
𝑘𝑚 (c) 14
3
8
𝑘𝑚 (d) 15
10
21
𝑘𝑚
6. A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe flow water
at a rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak,
the tank is empty in 12 hours. How many litres does the cistern hold?
7580 (b) 7960 (c) 8290 (d) 8640
7. 12 men and 18 boys, working 7(1/2) hours a day, can do a piece of work in 60 days. If a
man works equal to 2 boys, then how many boys will be required to help 21 men to do twice the
work in 50days, working 9 hours a day?
(a) 30 (b) 42 (c) 48 (d)90

2. 8. Atish ,Banit, Chetan,Dimple,Fakri,Hitu,Ranveer,Pranav and Snehlta are nine players
from among whom three teams consisting reapectively of 4 mambers , 3 members and 2
members must be formed subject o the folloeing conditions
(a) Chetan must have three more players with him while Dimple must have only two
more with him
(b) Chetan and Snehlta cannot be in the same team
(c) Pranav and Banit cannot be in the same team
(d) Ranveer and Hitu must be in the same
Question 1: If Dimple,Fakri, Pranav form the team of three members then , which of the
following must be true ?
(a) Hitu must be in a team with Banit
(b) Snehlta must form a two member team with Atish or Chetan
(c) Snehlta must form a two member team with Banit or Atish
(d) Chetan should from a team of four members with Hitu, Ranveer and Atish
Question 2: If Dimple takes Atish as a part of his three-member team, which of the following
must go into Chetan’s team?
(a) Banit and Hiu
(b) Hitu and Ranveer
(c)Pranav and Ranveer
(d) Pranav and Fakri
Question 3: If Chetan and Fakri are together and Snehlta is in the team of two members, then
how many sets of different teams are possible?
(a) 4
(b) 3
(c) 2
(d) 1
Question 4: If Chetan does not have Pranav in his team and the two member team consists of
Snehlta and Atish, then Chetan should take
(a) Hitu, Banit and Ranveer
(b) Banit but not Ranveer
(c) Banit and Fakri
(d) Hitesh and Ronit

3. 9. A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4
months, A takes out half of his capital. After two more months, B takes out one third of his
capital while C joins them with a capital of Rs. 7000. At the end of a year they earn a profit
of Rs. 5080. Find the share of each member in the profit.
(a) Rs. 1400, 1900, 1780 (b) Rs. 1600, 1800, 1680 (c) Rs. 1800, 1500, 1780 (d)
Rs. 1680, 1600, 1800 (e) None of these
10. How much water must be added to 28 L milk, costing Rs 12 per litre, so that the value of
the mixture will be Rs 10.50 per litre ?
a. 3.6 L b. 4.2 L c. 4 L d. 3 L
11. Two workers A and B manufactured a batch of identical parts. A worked for 2 hours and
B worked for 5 hours and they completed half the job. Then they worked together for
another 3 hours and they had to do (1/20)th of the job. How many hour time does B take
to complete the job, if he worked alone?
a. 25 b. 18 c. 21 d 15
12.A tank can be filled by a tap in 20 minutes and by another tap in 6O minutes. Both
the taps are kept open for 10 minutes and then the first tap is shut off. After this,
the tank will be completely filled in:
a. 7 min 45 sec b. 7 min 15 sec c. 8 min 5 sec d 8 min 15 sec
13.My brother is three years older to me. My father was 28 years of age when my
sister was born while my mother was 26 years of age when I was born. If my
sisters was 4 years of age when my brother was born, then, what was age of my
father & mother respectively in years, when my brother was born.
a. 32, 23 b. 32, 29 c. 35, 29 d. 35, 33
14. Ramu, is a famous milk dealer doing business in milk for nearly three decades in USA. He
has three varieties containing milk and water in the following proportion: 4:3, 3:2, 7:5.
Assume equal quantity of all the three varieties are collected and mixed. What will be the
proportion of milk and water in the new variety made?
A. 523:737 B. 737:523 C. 654:245
D. 487:654
15. A child has three different kinds of ice creams costing Rs.2, Rs.5, Rs.10. He spends total
Rs. 120 on the ice creams. what is the minimum possible number of ice creams he can buy, if
there must be atleast one ice creams of each kind?
A) 22 B) 19
C) 17 D) 15

4. 16. Twelve people are sitting in two parallel rows containing six people each, in such a
way that there is an equal distance between adjacent persons .In rows 1 there are p ,
q , r , s , t , and v are seated and all of them are facing south .In row 2 there are a , b
, c , d , e ,and f are seated and all of them are facing north. Therefore, in the given
seating arrangement each member seated in a row faces another member of the
other row.
1. a, sits third to right of d
2. Neither a nor d sits at the extremes ends
3. ‘t’ faces ‘d’
4. v does not face a and v does not sit at any of the extreme ends.
5. ‘v’ is not an immediate neighbor of t
6. ‘b’ sit at on the extreme ends.
7. Only two people sit between b and e
8. ‘e’ does not face v
9. Two persons sit between r and q
10. r is not the immediate neighbor of t
11. c does not face v
12. p is not an immediate neighbor of r
Question 1: Who among the following sit at extreme ends of the rows?
(a) b,e
(b) s,t
(c) p,r
(d) b,f
(e) none
Question 2: Who among the following faces a?
(a) r
(b) t
(c) p
(d) q
(e) s
Question 3: How many persons are seated between t and s?
(a) oness
(b) two
(c) three

5. (d) four
(e) none
Question 4: p is related to v in the same way as the c is related to f. To which of the
following is e related to, following the same pattern:
(a) b
(b) d
(c) c
(d) a
(e) none
Question 5: Which of the following is true regarding f?
(a) f sits second to the right of c
(b) f is not an immediate neighbor of a
(c) f sits third to the left of d
(d) f sits at the one of the extreme ends of the line
(e) f faces v
17. A, B and C jointly thought of engaging themselves in a business venture. It was agreed
that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000
for 3 months. A wants to be the working member for which, he was to receive 5% of the
profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
a. a. Rs 1900 b. Rs 2660
b. c. Rs 2800 d. Rs 2840
18. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3
years older. If the ages of these two are excluded, the average age of the remaining
players is one year less than the average age of the whole team. What is the average age
of the team?
c. A. 23 year b. 24 years
d. c. 25 years d. None of these
19. What is the unit digit in {(6374)1793
x (625)317
x (341491
)}?
a. 0 c. 2
b. 5 d. 3

6. 20. Jay and Anup can do a job, each working alone in 30 and 15 days respectively. Jay started
the work and after a few days, Anup joined him. They completed the work in 18 days from the
start. After how many days did Anup join A?
a. 12 b. 15
c. 18 d. 10
21. Ashish said to Himani,”your only brother’s son is my wife’s brother”. How is Himani related
to wife of Ashish?
(a)Sister (b) Aunt (c) Mother (d) Daughter
22. In as a certain code, 15789 is written as EGKPT and 2346 is written ALUR. How is 23549 written in
that code ?
Options:
A. ALEUT B. ALGTU C. ALGUT D. ALGRT E. None of these
23. A shopkeeper sold a T.V set for Rs. 17,940 with a discount of 8% and earned a profit of 19.6%.
What would have been the percentage of profit earned if no discount was offered?
(a) 24.8% (b) 25% (c) 26.4% (d) cannot be determined (e) none of these
24. If 3a = 4b = 6c and a + b + c = 27√29, then √𝑎2 + 𝑏2 + 𝑐2 is :
(a) 3√29 (b) 81 (c) 87 (d) none of these.
25. A watch which gains 5 seconds in 3 minutes was set right at 7.a.m. In the afternoon of the same
day, when the watch indicated quarter past 4 o’clock, the true time is :
(𝑎)59
7
12
𝑚𝑖𝑛. 𝑝𝑎𝑠𝑡 3 (b) 4.p.m (c) 58
7
11
𝑚𝑖𝑛. 𝑝𝑎𝑠𝑡 3 (d) 2
3
11
𝑚𝑖𝑛. 𝑝𝑎𝑠𝑡 4
26. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do
the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work
will be:
a. 4 days c. 5 days
b. 6 days d. 7 days
27. P can complete a work in 12 days working 8 hours a day. Q can complete the same work
in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day,
in how many days can they complete the work?
a. (60/11) days c. (61/11) days
b. (71/11) days d. (72/11) days

7. 28. Study the following pie-chart and the table and answer the questions based on them.
PROPORTION OF POPULATION OF SEVEN VILLAGES IN 1997
1. Find the population of village S if the population of village X below poverty line in 1997 is 12160.
(a)18500 (b) 20500 (c) 22000 (d)26000
2. The ratio of population of village T below poverty line to that of village Z below poverty line in 1997
is :
(a) 11:23 (b) 13:11 (c) 23:11 (d) 11:13
3. If the population of village R in 1997 is 32000, then what will be the population of village Y below
poverty line in that year?
(a) 14100 (b) 15600 (c) 16500 (d) 17000
4. If in 1998, the population of villages Y and V increase by 10% each and the percentage of population
below poverty line remains unchanged for all the villages, then find the population of village V below
poverty line in 1998, given that the population of village Y in 1997 was 30000.
(a) 11250 (b) 12760 (c) 13140 (d) 13780
5. If in 1999, the population of village R increases by 10% while that of village Z reduces by 5%
compared to that in 1997 and the percentage of population below poverty line remains unchanged for all
the villages, then find the approximate ratio of population of village R below poverty line to the ratio of
population of village Z below poverty line for the year 1999.
Z
11%
Y
15%
X
16%
V
10%
T
21%
S
11%
R
16%
Village %Population below poverty
line
X 38
Y 52
Z 42
R 51
S 49
T 46
V 58

8. (a) 2:1 (b) 3:2 (c) 4:3 (d) 5:4
29
1. A3P means A is the mother of P
2. A4P means A is the brother of P
3. A9P means A is the husband of P
4. A5P means A is the daughter of P
Which of the following means that K is the mother-in-law of M?
a. M9N3K4J b. K5J9M3N c. M9N5K3J
d. K3J9N4M
30 A professor keeps data on students tabulated by performance and sex of the
student. The data is kept on a computer disk, but unfortunately some of it is lost
because of a virus. Only the following could be recovered:
Panic buttons were pressed but to no avail. An expert committee was
formed, which decided that the following facts were self evident:
1. Half the students were excellent and good.
2. 40% of the students were females.
3. One third of the male students were average.
Question 1: How many students were both female and excellent?
(a) 0
(b) 8
(c) 16
(d) 32
Question 2: How many students are both male and good?
(a) 10
(b) 16
(c) 22
(d) 48

9. Question 3: Among average students, what is the ratio of male to female?
(a) 1 : 2
(b) 2 : 1
(c) 3 : 2
(d) 2 : 3
Question 4: What proportion of female students are good?
(a) 0
(b) 0.25
(c) 0.5
(d) 1.0
Question 5: What proportion of good students are male?
(a) 0
(b) 0.73
(c) 0.4
(d) 1.0
31. A, B and C enter into a partnership and their shares are in the ratio
1
2
:
1
3
:
1
4
. After 2 months,
A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among
them. What is B’s share?
(a) Rs. 129 (b) Rs. 144 (c) Rs. 156 (d) Rs. 168
32. It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It
takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the
speed of the train to that of the cars is:
a. 2:3 b. 3:2
b. 3:4 d. 4:3
33. At what time between 7 and 8 o'clock will the hands of a clock be in the same straight
line but, not together?
e. 5 min past 7 c. 5 (
3
11
) min 𝑝𝑎𝑠𝑡 7
f. 5 (
2
11
) min 𝑝𝑎𝑠𝑡 7 d. 5 (
5
11
) min 𝑝𝑎𝑠𝑡 7

10. 34.Ghosh Babu has recently acquired four companies namely Arc – Net
Technologies (ANT), Babu Anta Transport (BAT), Charles Anter Tailor
(CAT) and Daud Akbar Transistors (DAT). When the results of the
companies for the year 1992 – 93 were placed before him. He found a few
interesting things about them. While the profits of CAT and DAT were the
same, the sales of CAT were the same as those of BAT . Profits of ANT
were 10% of its sales, where as the profits of BAT were 20% of its sales.
While the total expenses of CAT were 5 times its profits, sales of DAT were
3 times its profits. The total expenses of CAT were Rs. 10,00,000, the total
expenses of ANT were 10% less than those of CAT. Profits are defined as
the difference between sales and total expenses.
1 Which company had the lowest sales?
a. ANT b. BAT
c. CAT d. DAT
2 Which company had the highest total expenses?
a. ANT b. BAT
c. CAT d. DAT
.3 Which company had the lowest profits?
a. ANT b. BAT
c. CAT d. DAT
4. Which company had the highest profits?
a. ANT b. BAT
c. CAT d. DAT
35. A train can travel 50% faster than a car. Both start from point A at the same time and reach
point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5
minutes while stopping at the stations. The speed of the car is:
a. 100 km/h c. 110 km/h
b. 120 km/h d. 130 km/h

11. 36. Mayor, Avinash, Govind, Alok, Mahesh, Nikhil and Mohit are seven friends.
They are studying engineering in different branches of Mechanical, Chemical,
Electronics, Computer Science, IT, Biotech and Electrical, not necessarily in the
same order. Each of them also excels in one of the following games-football,
cricket, hockey, badminton, squash, volleyball and lawn tennis, again not
necessarily in the same order. Govind plays hockey and he neither studies
Electrical nor IT. Mahesh studies Electronics and plays volleyball. Mayor studies
Biotech and does play neither football nor squash. The one who studies Chemical
plays cricket. The one who plays football studies Computer Science. Nikhil plays
squash. Mohit plays badminton and studies Electrical. Alok does not study
Chemical.
1 Which of the following games does Avinash play?
a. Cricket c. Football
b. Hockey d. Squash
2 What does Nikhil study?
a. Mechanical c. Chemical
b. IT d. Electrical
3 What does Govind Plays?
a. Cricket c. Football
b. Hockey d. Squash
37. A boat covers 24km upstream and 36km downstream in 6 hours while it covers 36km upstream
and 24 km downstream in 6(1/2) hours. The velocity of the current is:
(a) 1kmph (b) 1.5kmph (c) 2kmph (d) 2.5kmph
38. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture
are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many
litres of liquid A was contained by the can initially?
(a) 10 (b) 20 (c) 21 (d) 25
39. What greatest number must be substrated from 10,000 so that the remainder will be
divisible by 32,36, 48 and 54?
a. 800 b. 864 c. 678 d. 745

12. 40. A woman says, "If you reverse my own age, the figures represent my husband's age. He
is, of course, senior to me and the difference between our ages is one-eleventh of their
sum." The woman's age in years?
a. 23 b. 34 c. 45 d. None of these
41. A father divides his property between his two sons A and B. A invests the amount at
compound interest of 8% p.a . B invests the amount at 10% p.a simple interest. At the end
of 2 years, the interest received by B is Rs 1336 more than the interest received by A.
Find the share of A in the father's property of Rs 25000 ?
a. Rs 12000 b. 13000 c. 12500 d. 10000
42.A problem in mathematics is given to 3 students whose chance of solving it are
1/2, 1/3,1/4. What is probability that the problem is solved?
a. 1/24 b. 1/48 c. ¾ d. 1/2
43. A clock is set at 4 am. If the clock loses 16 minutes in 24 hours, what will be the
true time when the clock indicates 9 pm on 4th day?
a. 10 pm b. 10.30 pm c. 11 pm d. 11.30 pm
44. The distance between two cities A and B is 400 Km. A train starts from A at 6 a.m. and
travel towards B at 60 km/hr. Another train starts from B at 7 a.m and travels towards A
at 80 Km/hr. At what time do they meet?
a. 9.25 b. 9.15 c. 9.30 d. 9.05
45. A vessel contains milk and water in the ratio 3 : 2. The volume of the contents is
increased by 50% by adding water to it. From this resultant solution 30 L is withdrawn
and then replaced with water. The resultant ratio of milk to water in the final solution is
3 : 7. Find the original volume of the solution?
a. 32 L b. 65 L c. 75 L d. 82 L
46. In a random arrangement of the letters of the word "COMMERCE" , find the probability
that all vowels come together ?
a. 9/28 b. 5/28 c 3/28 d. 8/28
47. On what dates of April, 2001 did Wednesday fall?
a. 1st
, 8th
, 15th
, 22nd
, 29th
b. 2nd
, 9th
, 16th
, 23rd
, 30th
c. 3rd
, 10th
, 17th
, 24th
d. 4th
, 11th
, 18th
, 25th

13. 48. At what time between 4 & 5 will the hands of a watch point in opposite directions?
a. 43 min past 4
b. 42 5/11 min past 4
c. 50 4/11 min past 4
d. 40 min past 4
49. Solve the questions below based on data mentioned in the table:-
1. What is the maximum production capacity (in ‘000 tonnes) of Lipton for coffee?
a. 2.53
b. 2.85
c. 2.24
d. 2.07
2. Which company out of the four companies mentioned above has the maximum
unutilized capacity (in ‘000 tonnes)?
a. Lipton
b. Nestle
c. Brooke Bond
d. MAC
3. What is the approximate total production capacity (in ‘000 tonnes) for coffee in
India?
a. 18
b. 20
c. 18.7
d. Data insufficient
4: The highest price for coffee per kilogram is for
a. Lipton
b. Nestle
c. Brooke Bond
d. Data insufficient
5: What percent of the total market share (by sales value) is controlled by ‘others’?
a. 60%
b. 32%
c. 67%
d. Data insufficient

14. 50. P, Q, R, S, T, V, Wand Z are travelling to three destinations Delhi, Chennai and hyderabad in
three different vehicles-Honda City, Swift D’Zire and Ford Ikon. There are three females among
them one in each car. There are at least two persons in each car. R is not travelling with Q and
W. T, a male, is travelling with only Z and they are not travelling to Chennai. P is travelling in
Honda City to Hyderabad. S is sister of P and travels by Ford Ikon. V and R travel together. W
does not travel to Chennai.
1. Members travelling to Chennai are in the car:
a. Honda City b. Swift Dzire c. Ford Ikon d. Either Swift D’zire or Ford Ikon
2. In which car are four members travelling?
a. None b. Honda City c. Swift Dzire d. Ford Ikon
3: Which of the following combinations represents the three female members?
a. QSZ b. WSZ c. PSZ d. Cannot be determined
4: Who is travelling with W?
a. Only Q b. Only P c. Both P and Q d. Cannot be determined
5: Members in which of the following combinations are travelling in Honda City?
a. PRS b. PQW c. PWS d. Data insufficient