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

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