Infosys Sample Puzzles test

Infosys Sample Puzzles test:

1. 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

The locker belonging to JONES was to the right of BLACK’S locker
and
directly above MILLAR’S.
BOOTH’S locker was directly above MILLAR’S.
SMITH’S locker was also above GRAY’s (though not directly).
GREEN’S locker was directly below SMITH’S.
WILSON’S locker was between that of DAVIS and BOOTH.
MILLAR’S locker was on the bottom row directly to the right of
HERD’S.
WHITE’S locker was on the bottom right hand corner in the same
column
as BOOTH’S.

Which box belonged to Mr.Mathurs?

Ans: Box number 9 belongs to Mr.Mathurs.

2. Fifty minutes ago if it was four times as many minutes past three
o’clock,how many minutes is it to six o’clock?

Ans: Twenty six minutes.

3. If a clock takes 7seconds to strike 7, how long will the same clock
take
to strike 10?

Ans: The clock strikes for the first time at the start and takes 7
seconds
for 6 intervals-thus for one interval time
taken=7/6.
Therefore, for 10 seconds there are 9 intervals and time taken
is
9*7/6=10 and 1/2 seconds.

4. Three criminals were arrested for shop lifting.
However, when interrogated only one told the truth in both his
statements, while the other two each told one true
statement and one lie.
The statements were:

ALBERT :(a)Chander passed the merchandise. (b)Bruce created the
diversion.
BRUCE :(a)Albert passed the merchandise. (b)I created the
diversion.
CLIVE :(a)I took the goods out of the shop. (b)Bruce passed
them
over.

Ans: Albert passed the goods.Bruce created the diversion..Clive took
the
goods out of the shop.

5. Everyday in his business a merchant had to weigh amounts from 1 kg
to 121
kgs, to the nearest kg.
What are the minimum number of weight required and how heavy should
they
be?

Ans: .The minimum number is 5 and they should weigh 1,3,9,27 and 81
kgs.

6. A hotel has 10 storeys.Which floor is above the floor below the
floor,
below the floor above the floor, below the
floor above the fifth.

Ans: The sixth floor.

7. Seven members sat around a table for three days for a conference.
The member’s names were Abhishek, Amol, Ankur, Anurag,Bhuwan ,Vasu
and
Vikram.
The meetings were chaired by Vikram.
On the first evening members sat around the table alphabetically.
On the following two nights, Vikram arranged the seatings so that
he
could have Abhishek as near to him as
possible and abesent minded Vasu as far away as he could.
On no evening did any person have sitting next to him a person who
had
previously been his neighbour.
How did Vikram manage to seat everybody to the best advantage on
the
second and third evenings?

Ans:
Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag and Bhuwan.
Third evening :Vikram,Anurag,Abhishek,Vasu,Bhuwan,Ankur,Amol.

8. Two trains start from stations A and B spaced 50 kms 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: 100 kms.

9. Four prisoners escape from a prison.
The prisoners, Mr East, Mr West, Mr South, Mr North head towards
different directions after escaping.
The following information of their escape was supplied:

The escape routes were The North Road, South Road, East Road and
West
Road.
None of the prisoners took the road which was their namesake.
Mr.East did not take the South Road
Mr.West did not the South Road.
The West Road was not taken by Mr.East

What road did each of the prisoners take to make their escape?

Ans: Mr.East took the North Road
Mr.West took the East Road
Mr.North took the South Road
Mr.South took the West Road.

10. Complete the series:
5, 20, 24, 6, 2, 8, ?

Ans: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).

1. At 6'o a clock ticks 6 times.
The time between first and last ticks is 30 seconds.
How long does it tick at 12'o clock.

Ans: 66 sec. (2 marks)

2. 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 (2 marks)

Initially . x x x
Now x-4 x-4 x-4
Equation is 3x-12 = x

3. A ship went on a voyage.
After it had travelled 180 miles a plane statrted with 10 times the
speed of the ship.
Find the distance when they meet from starting point.

Ans: 200miles. (2 marks)
Distance travelled by plane = 1/10 distance travelled by ship +
180

4. Complete the Table given below:

Three football teams are there. Given below is the group table.
Fill
in the x’s

Played Won Lost Draw Goals For Goals Against
A 2 2 x x x 1
B 2 x x 1 2 4
C 2 x x x 3 7

Ans: The filled table is given below (4
marks)

Played
Won
Lost
Draw
Goals For
Goals Against
A
2
2
0
0
7
1
B
2
0
1
1
2
4
C
2
0
1
1
3
7

5. There are 3 societies A, B, C.
A lent cars to B and C as many as they had already.
After some time B gave as many tractors to A and C
as many as they have. After sometime c did the same thing. At the end
of
this transaction each one of them had 24.
Find the cars each orginally had.

Ans: A had 39 cars, B had 21 cars & C had 12 cars (4
marks)

6. There N stations on a railroad.
After adding X stations on the rail route 46 additional tickets
have to
be printed.
Find N and X.

Ans. x=2 and N=11

Let initially, N(N-1) = t
After adding, (N+X)(N+X-1) = t+46
By trail and error method (4
marks)

7. Given that April 1 is tuesday.
A, B, C are 3 persons told that their farewell party was on

A - May 8, thursday
B - May 10,tuesday
C - June 5, friday

Out of A, B, C only one made a completetly true statement concerning
date,day and month
The other told two one told the day right and the other the date
right..
What is correct date, month, day.

Ans: B - (May 10) SUNDAY
C - June 6 (Friday). (5
marks)

8. The Bulls, Pacers, Lakers and Jazz ran for a contest.
Anup, Sujit, John made the following statements regarding results.

Anup said either Bulls or Jazz will definitely win
Sujit said he is confident that Bulls will not win
John said he is confident that neither Jazz nor Lakers will win

When the result cameit 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 (5marks )

9. 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 (10 marks)

10. Some statements are given below:

L says all of my other four friends have money
M says that P said that exactly one among them has money
N says that L said that precisely two among them have money
O says that M said that three of the others have money
P, L and N said that they have money

All the above statement are false..
Who has money & who doesn’t have any money?

(5 marks)

1) 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

2) 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 travelled in north and south directions
1/2 - 1/8 + 1/32 - 1/128 + 1/512 - and so on
= 1/2/((1-(-1/4))
Similarly in east and west directions
1- 1/4 + 1/16 - 1/64 + 1/256 - and so on
= 1/(( 1- ( - 1/4))
Add both the answers

3) How can 1000000000 be written as a product of two factors neither
of
them containing zeros

Ans: 2 power 9 x 5 power 9

4) Conversation between two mathematcians:
First : I have three childern. The product of their ages is 36.
If you sum their ages, it is exactly same as my neighbour’s
door
number on my left.
The second mathematician verfies 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”. Immmediately the second mathematician
answers .
Can you answer the question asked by the first mathematician?
What are the childeren ages?

Ans 1,6 and 6

5) 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

6) 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 podsitions 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

7) A person with some money spends1/3 for cloths, 1/5 of the remaining
for
food and 1/4 of the remaining for travel.
He is left with Rs 100/- .
How much did he have with him in the begining ?

Ans: Rs 250/-

There are six boxes containing 5 , 7 , 14 , 16 , 18 , 29 balls of
either
red or blue in colour.
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 solds out ?

Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30
and also 14 + 16 = 5 + 7 + 18 = 30

9) A chain is broken into three pieces of equal lenths containing 3
links
each.
It is taken to a backsmith to join into a single continuous one .
How many links are to to be opened to make it ?

Ans : 2.

10) Grass in lawn grows equally thick and in a uniform rate.
It takes 24 days for 70 cows and 60 days for 30 cows to eat the
whole
of the grass.
How many cows are needed to eat the grass in 96 days.?

Ans : 20
g - grass at the beginning
r - rate at which grass grows, per day
y - rate at which one cow eats grass, per day
n - no of cows to eat the grass in 96 days
g + 24*r = 70 * 24 * y
g + 60*r = 30 * 60 * y
g + 96*r = n * 96 * y
Solving, n = 20.
1.An escalator is descending at constant speed.
A walks down and takes 50 steps to reach the bottom.
B runs down and takes 90 steps in the same time as A takes 10 steps.
How many steps are visible when the escalator is not operating?

Ans: 150 steps

2. Every day a cyclist meets a train at a particular crossing.
The road is straight before the crossing and both are travelling in
the
same direction.
The cyclist travels with a speed of 10 Kmph.
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: 60 kmph

3. 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

4. Boys are allowed to watch football at C.V.Raman auditorium
subjected to
conditions.

The boy over age 16 can wear overcoat
No boy over age 15 can wear cap
To watch the football either he has to wear overcoat or cap or
both
A boy with an umberella or above 16 or both cannot wear sweater.
Boys must either not watch football or wear sweater.

What is the appearence of the boy who is watching football.

5. A bird keeper has got P pigeons, M mynas and S sparrows.
The keeper goes for lunch leaving his assistant to watch the birds.

Suppose p=10, m=5, s=8 when the bird keeper comes back, the
assistant
informs the x birds have escaped. The bird
keeper exclaims: “Oh no! All my sparrows are gone.”
How many birds flew away?
When the bird keeper comes back, the assistant told him that x
birds
have escaped. The keeper realised that atleast 2
sparrows have escaped.
What is minimum no of birds that can escape?

6. Answer the following questions based on the conditions from the
choices
A, B, C, D, E as described below:
(A) if a definete conclusion can be drawn from condition 1
(B) if a definete conclusion can be drawn from condition 2
(C) if a definete conclusion can be drawn from condition 1 and 2
(D) if a definete conclusion can be drawn from condition 1 or 2
(E) no conclusion can be drawn using both conditions

person 1 says N<5
person says N>5
person 3 says 3N>20
person 4 says 3N>10
person 5 says N<8

What is the value of N?

a) 1. No of persons who speak false being less than no of persons who
tells
the truth.
2. Person 2 is telling the truth.

b) 1. no of persong telling the truth is greater than no of persons
telling
lies
2. person 5 is telling the truth.

7. 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.

If N=7
(a) A can always win by taking two coins in his first chanse
(b) B can win only if A takes two coins in his first chance.
(c) B can always win by proper play
(d) none of the above
2. A can win by proper play if N is equal to
(a) 13 (b) 37 (c) 22 (d) 34 (e) 48
Ans: (e.)
3. B can win by proper play if N is equal to
(a) 25 (b)26 (c) 32 (d) 41 (e) none
4. if N<4, can A win by proper play always?
(a) Yes (b) No

8. Two twins have vertain peculiar charcteristics.
One of them always lies on Monday, Wednesday, Friday.
The other always lies on Tuesdays, Thursdays and Saturdays.
On the other days they tell the truth. You are given a
conversation.

Person A– today is Sunday my name is Anil
Person B — today is Tuesday, my name is Bill

What day is today?

Ans: Today is Tuesday.

9. There is a safe with a 5 digit number as the key.
The 4th digit is 4 greater than second digit, while 3rd digit is 3
less
than 2nd digit.
The 1st digit is thrice the last digit.
There are 3 pairs whose sum is 11.
Find the number.

Ans: 65292

10. A hotel has two wings,the east wing and the west wing.
Some east wing rooms but not all have an ocean view.
All west wing rooms have a harbour view.
The charge for all rooms is identical, except as follows :

Extra charge for all harbour view rooms on or above the 3rd floor
Extra charge for all ocean view rooms except those without balcony
Extra charge for some harbour rooms on the first two floor & some
east
wing rooms without ocean view but
having kitchen facilities.

Which of the following cannot be determined on the basis of the
nformation
given:

I. Whether there are any rooms without a balcony for which an extra
charge
is imposed.
II. Whether any room without a kitchen or a view involves an extra
charge.
III. Whether two extra charges are impsed for any room.

(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II and III