Problems for the week

Problem 1.

Pooh bear has 2N+1 honey pots. No matter which one of them he sets aside, he can split the remaining 2N pots into two sets of the same total weight, each consisting of N pots. Must all 2N+1 pots weigh the same?

Problem 4.

A natural number is perfect if it is the sum of its proper divisors. Prove that two consecutive number cannot both be perfect.

To view all the problems of week 6: Click here

To check all the previous weeks challenging problems and discussion: Click here

 

Previous Years Question Papers and Solutions

I.S.I. BMATH/BSTAT Previous Years Question Papers, Solutions, and Discussions Click Here

C.M.I. under Graduate question papers and official solutions: Click Here

I.S.I. MMATH Previous Years Question Papers, Solutions, and Discussions Click Here

 

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