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**This paper contains INFOSYS Interview Questions.**

1. A begger collects cigarette stubs and makes one ful cigarette with every 7 stubs. Once he gets 49 stubs . How many cigarettes can he smoke totally?

Ans: 8.

2. A soldier loses his way in a thick jungle at random 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 ppower 9 (check the answer).

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 the clue is not sufficient. Then the first says " OK, one more clue is that my youngest is the youngest". Immmediately the second mathematician answers. Can you answer the question asked by the first mathematician? What are the childeren ages?

Ans: 2 and 3 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. ALL tallest among each row are asked to fall out. And the shortest among them is A. Similarly after resuming that to their originaal positions that the shortest 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 travelles. He is left with Rs 100/-. How he had 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?

9. Person1: Most of us are satch J.

Person2: Most of us are jute S.

Person3: Two of us are satch J.

Person4: Three of us are jute J.

Person5: I am satch J we have to find who is satch and who is jute.

Ans: S: Satch J:Jute.

10. Four persons are there to cross a bridge they have one torch light.

Person A can cross in 1 min.

Person B can cross in 2 min.

Person C can cross in 5 min.

Person D can cross in 10 min.

They have to cross bridge with in 17 min. At a time only two persons can cross.

I. A & B ----> 2.

II. A <---- 1. III. C & D ----> 10.

IV. B <---- 2. V A & B ----> 2

______________

Total 17.

11. 7 hours hour glass 11 hours hour glass you have to boil one egg for 15 hours.

12. What is the maximum number of slices can you obtain by cutting a cake with only 4 cuts?

Ans: 16.

13. Three are three boxes. In first box, two white balls. In second box, 2 black balls. In third box, 1 white & 1 black ball. The lables on the boxes are not correct. Then you have to open one box and to find the colour of the balls in all boxes.

Ans: Open the box labled black & white. If white balls are there then the box labled with white balls contain black balls and labled with black balls contain one black and one white ball and vice versa, if two black balls are there.

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