### Important Puzzles

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))

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

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