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Using a System of Equations to Find a Ratio

GMAT-JZGJFA

Assume that the equations below are true.

$pq=5$
$5p={q}^{2}$

Can a value be determined for $\cfrac{p}{q}$?

A

Statement (1) ALONE is sufficient to answer the question, but statement (2) ALONE is not.

B

Statement (2) ALONE is sufficient to answer the question, but statement (1) ALONE is not.

C

Statement (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.

D

EITHER statement ALONE is sufficient to answer the question.

E

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked - more relevant data is required.