For any numbers p and q, what is the result of the operation defined as p◊q = p^2(p - q)q^2 when p is 4 and q is 3?

For any numbers p and q, what is the result o… | GMAT Sprint

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PS · Problem Solving

sub-505

Functions

For any numbers p and q, what is the result of the operation defined as $p◊q = \frac{p^2(p - q)}{q^2}$ when p is 4 and q is 3?

Answer Choices

Correct answer marked below

16/9

Correct

16/3

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Explanation

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Official Explanation

Official

According to the definition,

p◊q = \frac{p^2(p - q)}{q^2}

. To find

4◊3

, we substitute p with 4 and q with 3:…

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Comments

JonasDec 23, 2024

Thanks for sharingThank you for sharing!!thanks for sharing

SoumyaMar 18, 2025

thanks for posting

DanielMay 30

wait why is B right? I got 16/3 somehow

LavanyaJun 7

you probably divided by q instead of q^2, the denominator is q squared

TichaonaSep 6

plugging p=4 q=3 into the formula, this is easy level for sure

What this question tests

What it tests

Your ability to evaluate and compose functions, including unusual defined operations.

Common trap

Applying function operations in the wrong order or ignoring domain restrictions.

For any numbers p and q, what is the result of the operation defined as p◊q=p2(p−q)q2p◊q = \frac{p^2(p - q)}{q^2}p◊q=q2p2(p−q)​ when p is 4 and q is 3?