Quantitative Reasoning: Geometry

This is an MCQ quiz on GMAT, which includes questions on Quantitative reasoning (Geometry).

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What is the circumference of the circle?


The diameter of the circle is 10.
The area of the circle is 25π.

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.

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

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

What is the diameter of the circle?


The diameter to radius ratio is 2:1.
The circumference is 10π.

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

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.

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.

If A and B are points on a plane and A lies inside circle C with center O and radius 5, does B lie inside circle C?

(1) The length of line segment AB is 7.

 

(2) The length of line segment BO is 7.

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

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

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

EACH statement ALONE is sufficient to answer the question.

BOTH statements TOGETHER are not sufficient to answer the question.

Find the diameter of circle B.

I) Circle B has a circumference of 8πm.

II) Circle B has an area of 16πm2.

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

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

Each statement alone is enough to solve the question.

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

Both statements taken together are sufficient to solve the question.

Find the diameter of circle λ

I) The area of 16 of λ  is 54π.

II) An arc making up 16th of λ is 6π.

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

Both statements together are needed to answer the question.

Either statement alone is 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.

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The circle of center F is inscribed in square ABCD. What is the diameter of the circle?

(1) The ratio of the diameter to the circumference of the circle is 1π.

(2) The area of square ABCD is 2.

Statments 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.

Find circle T′s ratio of diameter to circumference.

I) The area of circle T is 225πm2.

II) Chord AP passes within 1 meter of the center and has a length of 25 meters.

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.

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.

Either statement is sufficient to answer the question.

What is the ratio of the circumference to the diameter of Circle J?

1.) The radius of the circle is 7.

2.) The area of the circle is 49π. 

Statement 2 is sufficient to solve the question, but Statement 1 is not sufficient to solve the question.

Both statements taken together are sufficient to solve the question.

Statement 1 is sufficient to solve the question, but Statement 2 is not sufficient to solve the question.

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

Each statement alone is sufficient to solve the question.

Circle A and circle B are given. If the diameter of circle B is 13, what is the diameter of circle A? 

  1. The circumference of circle A is 52π.

  2. The ratio of the diameters of circle A and circle B is 4:1, respectively.

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

Statements 1 and 2 are not sufficient, and additional data is needed 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.

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

What is the circumference of the circle?

  1. The diameter of the circle is 16.

  2. The area of the circle is 64π.

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

Statements (1) and (2) TOGETHER are 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.

EACH statement ALONE is sufficient.

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