A calculus problem by Santarpan Roy

Calculus Level 2

A subset B of the set of 1st 100 positive integers has the property that no two elements of B sum to 125. What is the maximum possible number of elements in B?

54 0 84 1 62

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1 solution

Adnan Khan
Dec 6, 2015

Given that max sum of 2 elements in subset B is <125,hence simply check from optn Max no. Is 64 bcs 62+61=123<125

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