1)
A beggar collects cigarette stubs and makes one full cigarette with
every 7 stubs. Once he gets 49 stubs.
How many cigarettes can he smoke
totally.
Ans: 8
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:
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 1000000000 can 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 and 6 and 6
5)
Light glows for every 13 seconds . How many times did it 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. 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 shorteest
among each column are asked to fall out. And the longest among them is B .
Now who is taller among A and B ?
Ans A
7)
A person spending out 1/3 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 for 30 cows .
How
many cows can eat away the same in 96 days.?
Ans : 20
g - grass at the beginning
r - rate at which grass grows, per day
y
- rate at which cow eats grass, per day
g +
24*r = 70 * 24 * y
g + 60*r = 30 * 60 * y
g + 96*r = n * 96 * y
Solving, n = 20.
11)
There is a certain four digit number
whose fourth digit is twice the first digit.
Third digit is three more than
the second digit.
Sum of the first and fourth digits is twice the third
number.
What is that number ?
Ans : 2034 and
4368