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

Correct answer marked below

231

102

Correct

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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…

Comments

ForApr 28, 2025

Great explanation

NeelakshiJan 21, 2024

thanks for the answer

MonikaOct 2

How do we know which perfect square to look for? like do we have to square root 6675 and go from there?

BrianOct 15

^ this. then just find the next square above and subtract. got it in like 30 sec after that.

KushalAug 10

wait I keep getting a number that matches choice D instead. where am I messing up 😩

SiddharthAug 13

check if you rounded up to the wrong square. you want the FIRST square bigger than 6675, not just any square.

RockstarAug 20

thanks, this one was satisfying once it clicked. 605-655 feels right

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.