Infosys
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Two women were selling marbles int the market place -- 1 at 3 for a paise and other at 2 for a paise. one day both of them were obliged to return home when each had 30 marbles unsold. they put together the 2 lots of marbles and handling them over to a friend asked her to sell them at 5 for 2 paise.
now they were expecting to get 25 paise for the marbles as they would have got if sold separately but much to their surprise they go only 24 paise in total.
where did the 1 paise go ? can anyone explain the mystery?
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Infosys Other Question
A managing director interviewed candidates for a Responsible position in his company, finally arriving at three whom he could Not separate. He called them together and said, "in my desk i have some Small sticky discs, some of which are black and some white. Close Your eyes and i will stick one on the forehead of each of you. You Must then go into the next room which has no furniture or mirrors. You will Be able to see the discs on each of the other two candidates but not your Own. Without anyone touching any of the discs and without talking To one another, the first one who can solve the problem and come out of The room and tell me what color of disc he has on his forehead, with a Logical reason, will get the job." the candidates went into the room and almost Immediately one came out and said, "i have a black disc on my forehead." he was given the job. What was his reasoning?
For readers interested in Pythagorean triplets with Consecutive natural numbers, take any odd number -- say 11 -- and square It. 11 squared = 121 = 2(60)+ 1. Add 60 squared to both sides to get 11 squared + 60 squared = 60 squared + 2(60) + 1 = (60 + 1) squared = 61 squared. What do we get? (11, 60, 61). Works every time. Prove it For a general case.