How many more men than women are in the room?

(1) There is a total of 20 women and men in the room.
(2) The number of men in the room equals the square of the number of women in the room.

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

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

How many more men than women are in the room?(1) There is a total of 20 women and men in the room.(2) The number of men in the room equals the square of the number of women in the room.