INFOSYS INTERVIEW QUESTIONS
INFOSYS INTERVIEW QUESTIONS
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
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
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
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 .
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/-
8)
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
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.
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.
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.
Section B
1. 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:
0 =1, N = 8 ,E = 2, T = 7
2.
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.
and Ann the biologist.
The doctor didn't speak, but David did, so Bobbie is the doctor and Dave the chemist.
3.
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 postion 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
Claimed Time = 10:59 PM
4.
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 numbers in base 5
No number has digits more than 4. All of them are 1 , 2, 4, 8 , 16 , 32 , 64 converted to numbers in base 5
5.
Shahrukh speaks truth only in the morning and lies in the afternoon, whereas Salman
speaks truth only in the afternoon. A says that B
is Shahrukh. Is it morning or afternoon and who is A - Shahrukh or Salman.
Ans:
Afternoon ; A is Salman.
6.
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 nuch
faster is one train from other?
Ans:
Twice
7.
There are 6 volumes of books on a rack kept in order ( ie vol.1, vol. 2 and so
on ).
Give the position after the following changes were noticed.
- All books have been changed
- Vol.5 was directly to the right
of Vol.2
- Vol.4 has Vol.6 to its left and
both weren't at Vol.3's place
- Vol.1 has Vol.3 on right and
Vol.5 on left
- An even numbered volume is at
Vol.5's place
Find
the order in which the books are kept now.
Ans:
2 , 5 , 1 , 3 , 6 , 4
8.
I bought a car with a peculiar 5 digit numbered licence plate which on
reversing could still be read.
On reversing value is increased by 78633.Whats the original number if all
digits were different?
Ans:
Only 0 1 6 8 and 9 can be readupside down.So on rearranging these digits we get
the answer as 10968
9.
The shape in the sketch below is that of a square attached to half of a similar
square.Divide it into four equal pieces
Ans:
Hint : the figure can be divided into 12 equal triangles
10.
Supposing a clock takes 7 seconds to strike 7. How mlong will it take to strike
10?
Ans:
10 1/2 seconds.
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
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)
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)
(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 is false.
Who
has money & who doesn't have any money?