Problems for the week
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?
A natural number is perfect if it is the sum of its proper divisors. Prove that two consecutive number cannot both be perfect.
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ISI 2022 Question Paper, Answer Keys, Solutions
ISI 2022 UGA/Objective Paper:
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