Quantitative Reasoning: Quadrilaterals

This is an MCQ quiz for GMAT, which includes questions on Quantitative Reasoning (Quadrilaterals).

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Give the area of a given rectangle. Statement 1: The perimeter of the rectangle is 10. Statement 2: All sides of the rectangle have a length equal to a prime integer.

EITHER statement ALONE is sufficient to answer the question. BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question. Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question. Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question. BOTH statements TOGETHER are insufficient to answer the question.
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What is the length of the diagonal of the rectangle ABDC? 

(1) AC=3

(2) ∠CDA=30∘ and CD¯¯¯¯¯¯¯¯=33–√


Statement 1 alone is sufficient

Statements 1 and 2 together are not sufficient

Each statement alone is sufficient

Statement 2 alone is sufficient

Both statements together are sufficient

Rectangle ASOF has a perimeter of 28, what is its area?

I) The diagonal of ASOF is 43–√ inches.

II) The length of one side is 5 inches.

Statement II is sufficient to answer the question, but Statement I is not sufficient to answer the question.

Neither statement is sufficient to answer the question. More information is needed.

Either statement alone is sufficient to answer the question.

Both statements together are needed to answer the question.

Statement I is sufficient to answer the question, but Statement II is not sufficient to answer the question.

Data sufficiency question- do not actually solve the question

Does the square or rectangle have a greater area?
1. The perimeter of both the square and rectangle are equal.
2. The rectangle does not have four equal sides.

Statement 2 is sufficient, but statement 1 is not sufficient to answer the question

Statement 1 is sufficient, but statement 2 is not sufficient to answer the question

Statements 1 and 2 are not sufficient to answer the question and more information is needed

Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.

Each statement is sufficient

What is the area of a rectangle?

Statement 1: The length of its diagonal is 25.

Statement 2: The diagonal and either of its longer sides forms a 20∘ angle.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.

BOTH statements TOGETHER are insufficient to answer the question.

EITHER statement ALONE is sufficient to answer the question.

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.

BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.

A rectangle has vertices (A,C),(−B,C),(−B,−D),(A,−D), 

where A,B,C,D>0

Of the four quadrants, which one includes the greatest portion of the rectangle?

Statement 1: A>B

Statement 2: C>D


BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.

EITHER statement ALONE is sufficient to answer the question.

BOTH statements TOGETHER are insufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.

Rectangle ABCD is inscribed in a circle. What is its area?

Statement 1; The circle has an area of 64π.

Statement 2: BC=8


Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.

BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.

BOTH statements TOGETHER are insufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.

EITHER statement ALONE is sufficient to answer the question.

Rectangle  is inscribed in a circle. What is the area of the rectangle?
Statement 1: The circle has area 77.
Statement 2: The rectangle is a square.

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.

BOTH statements TOGETHER are insufficient to answer the question.

BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.

EITHER statement ALONE is sufficient to answer the question.

Give the area of a given rectangle.
Statement 1: The perimeter of the rectangle is 36.
Statement 2: All sides of the rectangle have a length equal to an odd prime integer.

EITHER statement ALONE is sufficient to answer the question.

BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.

Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.

BOTH statements TOGETHER are insufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.

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Rectangle ABCD has diagonal AD. What is the length of AD?

(1) Angle .

(2) AC=1.

Statements 1 and 2 together are not sufficient.

Statement 2 alone is sufficient.

Each statement alone is sufficient.

Both statements together are sufficient.

Statement 1 alone is sufficient.

Quiz/Test Summary
Title: Quantitative Reasoning: Quadrilaterals
Questions: 10
Contributed by:
james