Infosys papers
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Infosys papers |
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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/-
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
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.