# INMOTC, 2020

# IOMA, Bhubaneswar

Ready for some challenging problems?# Problems for the week

**Problem 1.**

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

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## ISI 2022 Question Paper, Answer Keys, Solutions

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