Here’s a mix of GMAT data sufficiency questions from all difficulty levels. These questions are part of the GMAT quantitative section of the GMAT. Practice, practice, practice…

Data Sufficiency Questions GMAT

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Question

What is the area of rectangle PQRS ?

(1) Its diagonal is 13 feet.
(2) PS = 5 feet

Possible Answers

Selected	Possible Answer
	A. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.
	B. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
	C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
	D. EACH statement ALONE is sufficient.
	E. Statements (1) and (2) TOGETHER are NOT sufficient.

Question

What is the value of ?

(1) $m =\sqrt {81}$
(2) m^2=81

Possible Answers

Selected	Possible Answer
	A. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.
	B. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
	C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
	D. EACH statement ALONE is sufficient.
	E. Statements (1) and (2) TOGETHER are NOT sufficient.

Question

If $(16)^{(x+\frac {1}{2}y+1)} =(4)^{(x+2y)},$ what are the values of x and y?

(1) $7^{(2x+3y)}=49^{38}$
(2) $5^{-4}=(25)^{(x-y)}$

Possible Answers

Selected	Possible Answer
	A. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient
	B. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
	C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
	D. EACH statement ALONE is sufficient.
	E. Statements (1) and (2) TOGETHER are NOT sufficient.

Question

A rectangular photograph is to be placed in a wooden frame. What is the area of the photograph?

(1) The length of the photograph is 7 inches.
(2) The area of the wooden frame is 55 square inches.

Possible Answers

Selected	Possible Answer
	A. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.
	B. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
	C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
	D. EACH statement ALONE is sufficient.
	E. Statements (1) and (2) TOGETHER are NOT sufficient.

Question

Susan’s flower-vase contains only yellow asters and orange asters. What is the ratio of orange asters to yellow asters in her flower-vase?

(1) The number of yellow asters is 2 less than the number of orange asters.
(2) The number of yellow asters is $\frac {3}{4}$ the number of orange asters.

Possible Answers

Selected	Possible Answer
	A. Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.
	B. Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
	C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
	D. EACH statement ALONE is sufficient.
	E. Statements (1) and (2) TOGETHER are NOT sufficient.

Question

A rectangular floor that is 4 meters wide is to be completely covered with non-overlapping square tiles, each with side of length 0.25 meter, with no portion of any tile remaining. What is the least number of such tiles that will be required?

(1) The length of the floor is three times the width.
(2) The area of the floor is 48 square meters.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

Who types at a faster rate, John or Bob?

(1) The difference between their typing rates is 10 words per minute.
(2) Bob types at a constant rate of 80 words per minute.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If a rope is cut into three pieces of unequal length, what is the length of the shortest of these pieces of rope?

(1) The combined length of the longer two pieces of rope is 12 meters.
(2) The combined length of the shorter two pieces of rope is 11 meters.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

For integers a, b, and c, $\frac {a}{b-c} = 1,$ what is the value of $\frac {b-c}{b}$ ?

(1) $\frac{a}{b} = \frac {3}{5}$
(2) a and b have no common factors greater than 1.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

What is the average distance that automobile D travels on one full tank of gasoline?

(1) Automobile D averages 8.5 kilometers per liter of gasoline.
(2) The gasoline tank of automobile D holds exactly 40 liters of gasoline.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

In a certain packinghouse, grapefruit are packed in bags and the bags are packed in cases. How many grapefruit are in each case that is packed?

(1) The grapefruit are always packed 5 to a bag and the bags are always packed 8 to a case.
(2) Each case is always 80 percent full.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If L_1, L_2 , and L_3 are lines in a plane, is L_1 perpendicular to L_3 ?

(1) L_1 is perpendicular to L_2

(2) L_2 is perpendicular to L_3

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

What fraction of his salary did Mr. Johnson put into savings last week?

(1) Last week Mr. Johnson put $17 into savings.
(2) Last week Mr. Johnson put 5% of his salary into savings.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

What is the value of ?

(1) x+y=7
(2) x-y=3-y

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

A certain company paid bonuses of $125 to each of its executive employees and $75 to each of its non-executive employees. If 100 of the employees were non-executives, how many were executives?

(1) The company has a total of 120 employees.
(2) The total amount that the company paid in bonuses to its employees was $10.000.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If is an integer, what is the value of ?

(1) $\frac {1}{5} < \frac {1}{x+1} < \frac {1}{2}$
(2) (x-3)(x-4) = 0

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

On a certain day it took Bill three times as long to drive from home to work as it took Sue to drive from home to work. How many kilometers did Bill drive from home to work?

(1) Sue drove 10 kilometers from home to work, and the ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day.
(2) The ratio of distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

At a certain university, if 50 percent of the people who inquire about admission policies actually submit applications for admission, what percent of those who submit applications for admission enroll in classes at the university?

(1) Fifteen percent of those who submit applications for admission are accepted at the university.
(2) Eighty percent of those who are accepted send a deposit to the university.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If and are nonzero integers, is $\frac {x}{y}$ an integer?

(1) is the product of 2 and some other integer.
(2) There is only one pair of positive integers whose product equals .

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If is an integer between 2 and 100 and if is also the square of an integer, what is the value of ?

(1) is the cube of an integer.
(2) is even

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

Is x^2-y^2 , a positive number?

(1) x - y is a positive number.
(2) x + y is a positive number.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

The surface area of a square tabletop was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?

(1) After the changes were made, the surface area was 70 square inches.
(2) There was a 25 percent increase in one of the dimensions.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

Is quadrilateral a square?

(1) The sides of have the same length.
(2) The diagonals of have the same length.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If is a positive integer less than 10 and N = 4,321 + K , what is the value of ?

(1) is divisible by 3.
(2) is divisible by 7.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

A jewelry dealer initially offered a bracelet for sale at an asking price that would give a profit to the dealer of 40 percent of the original cost. What was the original cost of the bracelet?

(1) After reducing this asking price by 10 percent, the jewelry dealer sold the bracelet at a profit of $403.
(2) The jewelry dealer sold the bracelet for $1,953.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

How many hours does it take 12 machines with identical production rates, running simultaneously without stopping, to fill a certain production order ?

(1) It takes each machine alone, running continuously, 60 hours to fill the production order.
(2) It takes 10 of these machines, running simultaneously without stopping, 6 hours to fill the production order.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

What are the populations of Cities and ?

(1) The population of City is 275,000 more than the population of City .
(2) The ratio of the population of City to the population of City is 76 to 21.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

Is line l parallel to the y-axis?

(1) The equation of line l is x = 4
(2) The points (4. 2) and (4, – 5) are on line l.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If is a positive number, what is the value of ?

(1) $1+ n = \frac {5}{4}$

(2) $n^2 = \frac {1}{16}$

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

Is the integer equal to 25?

(1) is the square of an integer.
(2) 15<n<37

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

Terry and Pat collected cans for recycling. What was the ratio of the number of carts Terry collected to the number of cans Pat collected?

(1) Pat collected 50 percent of the cans that they collected.
(2) Terry collected 140 cans.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

Who is older, Akira or Michiko?

(1) Akira and Michiko are 3 years apart in age.
(2) Akira’s younger brother is 11 years old.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

What is the value of ?

(1) 3x = 30
(2) x + y = 40

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If is an integer, is odd?

(1) The tens digit of is odd.
(2) n^2 is odd.

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Question

If x>y ,is cx>cy ?

(1) c>0
(2) xy>0

Possible Answers

Selected	Possible Answer
	A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
	B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
	C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
	D. Each statement alone is sufficient to answer the question.
	E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

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Data Sufficiency Questions GMAT

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