'A' is the set of the first 100 positive integers. What is the minimum number of elements that should be picked from 'A' to ensure that at least one pair of numbers whose difference is 10 is picked?

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What this question tests

Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.

Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.