If 24 is divided by z, the remainder equals z-4. What integer values can z take?

Answer Choices

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4, 7, 14, and 28

Correct

5, 10, 15, and 20

6, 9, 12, and 21

4, 6, 12, and 24

3, 6, 9, and 12

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Official Explanation

Official

When 24 is divided by z, the remainder is z-4. For z to be an integer, we have the condition that the remainder z-4 must be non-negative, which gives us z ≥ 4. The equation can be expressed…

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Comments

BharathJul 21, 2024

thanks for taking time to upload it!

VasistMay 29, 2024

greatt question!

What this question tests

What it tests

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

Common trap

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