How many 3-digit positive integers, with digits a, b, and c exist such that a < b and c < b? Assume that a is in the hundred's place, b is in ten's place, c is in the unit's place and a is a non-zero digit.

Correct answer marked below

100

240

Correct

364

450

648

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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.