If x and y are integers, what is the value of y ?

(1) xy = 27
(2) x = y^2

Answer Choices

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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Comments

FrancesAug 21

Easy one, got C pretty fast. Plug y^2 in for x in the first statement and it basically solves itself.

SriAug 23

wait how does that give you a single value? i got two options at first but then remembered x and y are integers so negatives don't work with 27 being positive... is that the trick?

MelissaJul 9

ngl statement 2 on its own gave me like three pairs and I almost picked B lol. good reminder that one statement alone usually doesn't pin it down here.

PrashantJul 13

same, i was so sure y^2 by itself was enough until i tried actual numbers

What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

If x and y are integers, what is the value of y ?(1) xy = 27(2) x = y^2