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Can you guess the ‘n’ value?

+1 vote
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A boy goes to 20 of his friend’s houses with ‘n’ number of newly purchased marbles in his hands. At every house he visits , he gives away half of marbles he have and take one of his friend’s marble’s and adds it with the one’s he is left with , he never had a problem of dividing an odd number of marbles left and finally after leaving the his 20th friends house, he is left with 2 marbles, can you guess the ‘n’ value?

posted Jul 2, 2017 by Rony Chakrabortty

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2 Answers

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n=2 (irrespective of how many friends he visits)

answer Jul 3, 2017 by Kewal Panesar
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n is equal to 2.
At the end he is left with 2 marbles which implies before he received the 20th friend's marble he had 1 marble which is half of what he had when he visited the 20th friend. This means he had 2 marbles when he reached the 20th person. This logic can be applied all the way back to the point where he started out to visit his 1st friend. This means he started out with just 2 marbles.

answer Jul 3, 2017 by Tejas Naik



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