Puzzle 3

Q. 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?


Q. 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.


Q. 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.


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

sol: 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.

Q.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.

Q. 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

Q. 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

Q. Supposing a clock takes 7 seconds to strike 7. How mlong will it take to strike 10?

Ans: 10 1/2 seconds.

Q. 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


Q. 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


Q.How can 1000000000 be written as a product of two factors neither of them containing zeros

Ans: 2 power 9 x 5 power 9


Q. 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


Q.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


Q. 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


Q. 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/-


Q. 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