If PQ is a two-digit positive integer, what is the value of PQ?

(1) P + Q = 4
(2) P - Q = 2

Correct answer marked below

Statement (1) ALONE is sufficient

Statement (2) ALONE is sufficient

BOTH statements TOGETHER are sufficient

Correct

EACH statement ALONE is sufficient

Statements (1) and (2) TOGETHER are NOT sufficient

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What this question tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Applying the order of operations out of sequence or rounding intermediate values before the final step.

If PQ is a two-digit positive integer, what is the value of PQ?(1) P + Q = 4(2) P - Q = 2