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1. Three friends divided some bullets equally. After all of
them shot 4 bullets the total number of bullets remaining is equal to the
bullets each had after division. Find the original number
divided.
Ans: 18 (
Initially .
x
x x
Now
x-4 x-4 x-4
) Equation is 3x-12 = x
2. A ship went on a voyage. After it had traveled 180 miles a plane started
with 10 times the speed of the ship.
Find the
distance when they meet from starting point.
Ans: 200miles. ( Distance
traveled by plane = 1/10 distance traveled by ship + 180 )
3. Replace each letter by a digit. Each letter must be represented by the
same digit and no beginning letter of a word can be
0.
O N E
O N
E
O N
E
O N
E
T E
N
Ans: O =1, N = 8 ,E = 2, T = 7
4. In a railway station, there are two trains going. One in the harbor line
and one in the main line, each having a frequency of 10 minutes. The main line
service starts at 5 o'clock and the harbor line starts at 5.02A.M. A man goes to
the station every day to catch the first train that comes. What is the
probability of the man catching the first train?
Ans: 0.8
5. Next number in the series is: 1 , 2 , 4 , 13 , 31 , 112
, ?
Ans: 224. (No number has digits more than 4. All of them are
1 , 2, 4, 8 , 16 , 32 , 64 converted to base 5 )
6. Father's age is three years more than three times the son's age. After
three years, father's age will be ten years more than twice the son's age. What
is the father's present age?
Ans: 33 years.
7. Light glows for every 13 seconds . How many times did it glow between
1:57:58 and 3:20:47 am.
Ans : 383 + 1 = 384
8. From a vessel, 1/3rd of the liquid evaporates on the first day. On the
second day 3/4th of the remaining liquid evaporates. What fraction of the volume
is present at the end of the second day.
Ans: 50%
9. Supposing a clock takes 7 seconds to strike 7. How long will it take to
strike 10?
Ans: 10 1/2 seconds.
10. There are 20 poles with a constant distance between each pole. A
car takes 24 second to reach the 12th pole.
How much
will it take to reach the last pole.
Ans: 41.45
seconds (Let the
distance between two poles = x, Hence 11x:24::19x:? )
11. How can 1000000000 be written as a product of two factors
neither of them containing zeros
Ans: 2 power 9 x 5 power 9
12. Two trains starting at same time, one from Bangalore to Mysore and other
in opposite direction arrive at their
destination 1
hr and 4 hours respectively after passing each other. How much faster is one
train from other?
Ans: Twice
13. Every day a cyclist meets a train at a particular crossing. The road is
straight before the crossing and both are traveling in the same direction. The
cyclist travels with a speed of 10kmph. One day the cyclist comes late by 25
min. and meets the train 5km before the crossing. What is the speed of the
train?
Ans: 60kmph
14. A man collects cigarette stubs and makes one full cigarette with every 8
stubs. If he gets 64 stubs how many full cigarettes can he smoke.
Ans: 8+1=9
15. The minute and the hour hand of a watch meet every 65 minutes. How much
does the watch lose or gain time and by how much?
Ans: Gains; 5/11 minutes
16. A survey was taken among 100 people to find their preference of watching T. V. programs. There are 3 channels. Given the no of people who watch
Find the no of people who watched all three.
Ans.
17. Two trains start from stations A and B spaced 50kms apart at the same
time and speed. As the trains start, a bird flies from one train towards
the other and on reaching the second train, it flies back to the
first train. This is repeated till the trains collide. If the speed of
the trains is 25 km/h and that of the bird is 100km/h. How much did the bird
travel till the collision.
Ans: 100kms.
18. Four persons A, B, C and D are playing cards. Each person
has one card, laid down on the table below him, which has two different colors
on either side. The colors visible on the table are Red, Green, Red and
Blue. They see the color on the reverse side and give the following
comment.
A: Yellow or
Green
B: Neither Blue nor
Green
C: Blue or
Yellow
D: Blue or Yellow
Given that out of the 4 people 2 always
lie find out the colors on the cards each person.
Ans.
19. Sometime after 10:00 PM a murder took place. A witness claimed that the
clock must have stopped at the time of the shooting. It was later found that the
position of both the hands were the same but their positions had
interchanged.
Tell the time of the shooting (both actual and
claimed).
Ans: Time of shooting = 11:54
PM
Claimed Time = 10:59 PM
20. Some statements are given below:
All the above statement are false. Who has money & who doesn't have any
money?
Ans.
21. The Bulls, Pacers, Lakers and Jazz ran for a contest. Anup, Sujit, John made the following statements regarding results.
When the result came, it was found that only one of the above three had made
a correct statement. Who has made the correct statement and who has won the
contest.
Ans: Sujith; Lakers
22. There are five persons with surnames Mukherjee, Misra, Iyer, Patil and
Sharma. There are 4 persons having first or middle name of Kumar, 3 persons with
Mohan, 2 persons with Dev and 1 Anil. Either Mukherjee and Patil have a first or
middle name of Dev or Misra and Iyer have their first or middle name of Dev. Of
Mukherkjee and Misra, either both of them have a first or middle name of Mohan
or neither have a first or middle name of Mohan. Either Iyer or Sharma
has a first or middle name of Kumar but not both. Who has the first or middle
name of Anil?
Ans: Kumar Misra Dev, Mohan Iyer Dev, Kumar Patil Mohan,
Mohan Sharma Kumar
23. Ann, Boobie, Cathy and Dave are at their monthly business meeting. Their
occupations are author, biologist, chemist and doctor, but not necessarily in
that order. Dave just told the biologist that Cathy was on her way with
doughnuts. Ann is sitting across from the doctor and next to the chemist. The
doctor was thinking that Boobie was a goofy name for parent's to choose, but
didn't say anything. What is each person's occupation?
Ans: Since Dave spoke to the biologist and Ann sat next to
the chemist and across the doctor, Cathy must be the author and Ann the
biologist. The doctor didn't speak, but David did, so Bobbie is the doctor and
Dave the chemist.
24. There are 6 volumes of books on a rack kept in order ( i.e. vol.1, vol. 2 and so on ). Give the position after the following changes were noticed.
Find the order in which the books are kept now.
Ans: 2 , 5 , 1 , 3 , 6 , 4
25. A soldier looses his way in a thick jungle. At random he walks from his
camp but mathematically in an interesting fashion. First he walks one mile East
then half mile to North. Then 1/4 mile to West, then 1/8 mile to South and so on
making a loop. Finally how far he is from his camp and in which direction.
Ans: Distance traveled in north and south directions:
1/2 - 1/8 + 1/32 - 1/128 + 1/512 - ............. = 1/2/((1-(-1/4))
Similarly in east and west directions:
1- 1/4 + 1/16 - 1/64 + 1/256 - ................... = 1/(( 1- ( -
1/4)) Add both the answers
26. Conversation between two mathematicians:
First : I have three children.
The product of their ages is 36. If you sum their ages, it is exactly same as my
neighbor's door number on my left.
The second
mathematician verifies the door number and says that it is not sufficient. Then
the first says " Ok one more clue is that my youngest is really the youngest".
Immediately the second mathematician answers. Can you answer the question asked
by the first mathematician? What are the children ages?
Ans 1,6 and 6
27. 500 men are arranged in an array of 10 rows and 50 columns according to
their heights. Tallest among each row of all are asked to fall out. And the
shortest among them is A. Similarly after resuming that to their original
positions that the shortest among each column are asked to fall out. And the
tallest among them is B. Now who is taller among A and B ?
Ans. A
28. There are six boxes
containing 5 , 7 , 14 , 16 , 18 , 29 balls of either red or blue in color. Some
boxes contain only red balls and others contain only blue. One sales man sold
one box out of them and then he says, " I have the same number of red balls left
out as that of blue ". Which box is the one he sold out ?
Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30 and also 14
+ 16 = 5 + 7 + 18 = 30
29. Ram Singh goes to his office in the city, every day from his suburban
house. His driver Gangaram drops him at the railway station in the morning and
picks him up in the evening. Every evening Ram Singh reaches the station at 5 O'
Clock. Gangaram also reaches at the same time. One day Ram Singh started early
from his office and came to the station at 4 O' Clock. Not wanting to wait for
the car he starts walking home. Mangaram starts at normal time, picks him up on
the way and takes him back house, half an hour early. How much time did Ram
Singh walk?
Ans.
30. A family X went for a vacation. Unfortunately it rained for 13 days when
they were there. But whenever it rained in the mornings, they had clear
afternoons and vice versa. In all they enjoyed 11 mornings and 12 afternoons.
How many days did they stay there totally?
Ans: 18
31. There are N coins on a table and there are two players A & B. You can take 1 or 2 coins at a time. The person who takes the last coin is the loser. A always starts first.
32. Mr. Mathurs jewels have been stolen from his bank locker. The bank has lockers of 12 people which are arranged in an array of 3 rows and 4 columns like:
1 | 2 | 3 | 4 |
5 | 6 | 7 | 8 |
9 | 10 | 11 | 12 |
Which box belonged to Mr. Mathurs?
Ans: Box number 9 belongs to Mr. Mathurs.
33. Five people A ,B ,C ,D ,E are related to each other. Four of them make
one true statement each as
follows.
(i) B is my father's brother.
(ii) E is
my
mother-in-law.
(iii) C is my son-in-law's
brother
(iv) A is my brother's
wife.
Ans: (i) D
(ii) B (iii)
E (iv) C
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