Quantitative Reasoning: Rectangles

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

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What is the perimeter of rectangle ABCD?

(1) The area of ABCD is 81

(2) Side AB=9


EACH statement ALONE is sufficient.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

The table in the hall has a length of 14 feet. What is its perimeter?
I) The tabletop is exactly two and a half feet above the floor.
II) The area of the table is four times three more than the width.

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

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

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

Both statements are needed to answer the question.

Either statement is sufficient to answer the question.

Farmer Jeff Jenkins is making a new rectangular field for his goats and needs to know how much fencing he needs to buy.
I) The goats will need at least 640 square yards to roam.
II) One edge of the field will be 40 yards long and will be made up of a river.

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.

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

Either statement is sufficient to answer the question.

Both statements are needed to answer the question.

What is the perimeter of the rectangle?

  1. The area is 12in2.

  2. The width measures 6in.

Statements 1 and 2 are not sufficient, and additional data is needed to answer the question.

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

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

Each statement alone is sufficient to answer the question.

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

True or false: A+B>50

Statement 1: A rectangle with length A and width B has area greater than 100.

Statement 2: A rectangle with length A and width B has perimeter greater than 100.

EITHER STATEMENT ALONE provides sufficient information to answer the question.

BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.

STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.

STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.

BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.

Ronald is making a bookshelf with a rectangular base that will be two yards tall. What is the area of the base?
I) The distance around the base will be 3 yards.
II) The smaller sides of the base are half the length of the longer sides.

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.

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

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

Either statement alone is sufficient to answer the question.

Find a possible width of rectangle PQRT.

I) PQRT has a perimeter of 44 fathoms.

II) PQRT has a diagonal length of 14 fathoms.

Both statements are needed to answer the question.

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 is sufficient to answer the question.

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

Find the length of the side of a rectangle with a width three times the length.

  1. The area of the rectangle is 12in2.

  2. The perimeter of the rectangle is 16in. 

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

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

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

Each statement alone is sufficient to answer the question.

Statements 1 and 2 are not sufficient, and additional data is needed to answer the question.

A rectangle has a width measuring twice the length. Find the length.

  1. The rectangle has a perimeter of 186cm.

  2. The rectangle's area is 1922cm2.

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

Statements 1 and 2 are not sufficient, and additional data is needed to answer the question.

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

Each statement alone is sufficient to answer the question.

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

Given parallelogram ABCD with diagonal AC—————. Is this parallelogram a rectangle?

1) AC=65

2) AD=60;AB=25


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.

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.

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

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