What is the smallest number that must be added to 6675 in order to obtain a perfect square?

Correct answer marked below

A

231

B

102

49

Correct

D

52

E

21

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Explanation

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Official Explanation

Official

The nearest perfect square greater than 6675 is found by checking squares of integers. The square of 82 is

82^2

= 6724, and the…

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Comments

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F

ForApr 28, 2025

Great explanation

N

NeelakshiJan 21, 2024

thanks for the answer

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.

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