Get detailed explanations to advanced GMAT questions.
Is quadrilateral MNOP a square?
I. MN = NO = OP
II. Angle N and angle O are right angles.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Option C is the correct answer.
Statement I is insufficient: tells us the lengths of three sides but this theory still could leave us with a fourth side that is longer/shorter than the rest, so insufficient.
Statement II is insufficient: Tells us that our quadrilateral is either a rectangle or a square, insufficient.
Together I and II, tell us that our quadrilateral is a square, because Statement II restricts the possible shapes that statement II can take, and combining the two tells us how long the fourth side in Statement I is, so sufficient.
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