Nothing but GMAT Data Sufficiency questions questions in this practice test. Data sufficiency questions are one of the types of questions in the GMAT problem solving section of the GMAT. Study hard!

GMAT Data Sufficiency Problems

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Question

If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house?

(1) The selling price minus the real estate agentâ€™s commission was $84,600.

(2) The selling price was 250 percent of the original purchase price of $36,000.

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

At a certain picnic, each of the guests was served either a single scoop or a double scoop of ice cream. How many of the guests were served a double scoop of ice cream?

(1) At the picnic, 60 percent of the guests were served a double scoop of ice cream.

(2) A total of 160 scoops of ice cream were served to all the guests at the picnic.

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 in the triangle above?

(1) x + y=139

(2) y+z=108

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 thoroughly blended biscuit mix includes only flour and baking powder. What is the ratio of the number of grams of baking powder to the number of grams of flour in the mix?

(1) Exactly 9.9 grams of flour is contained in 10 grams of the mix.

(2) Exactly 0.3 gram of baking powder is contained in 30 grams of the mix.

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 bakery sells rye bread in 16-ounce loaves and 24-ounce loaves, and all loaves of the same size sell for the same price per loaf regardless of the number of loaves purchased. What is the price of a 24-ounce loaf of rye bread in this bakery?

(1) The total price of a 16-ounce loaf and a 24-ounce loaf of this bread is $2.40.

(2) The total price of two 16-ounce loaves and one 24-ounce loaf of this bread is $3.40.

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

What is the value of |x| ?

(1) x=-|x|

(2) x^2 = 4.

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

By what percent was the price of a certain candy bar increased?

(1) The price of the candy bar was increased by 5 cents.

(2) The price of the candy bar after the increase was 45 cents.

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 circular tub has a band painted around its circumference, as shown above. What is the surface area of this painted band?

(1) x=0.5

(2) The height of the tub is 1 meter.

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 it true that a>b ?

(1) 2a>2b

(2) a + c > b + c

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 $\frac {\sqrt {x}}{y} = n$ , what is the value of ?

(1) yn = 10

(2) y=40 and $n=\frac {1}{4}$

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) 3 + x + y = 14 and 2x + y = 15

(2) 3x + 2y = 12 + 2y

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 was Billâ€™s average (arithmetic mean) grade for all of his courses?

(1) His grade in social studies was 75, and his grade in science was 75.

(2) His grade in mathematics was 95.

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 a certain bottle and cork, what is the price of the cork?

(1) The combined price of the bottle and the cork is 95 cents.

(2) The price of the bottle is 75 cents more than the price of the cork.

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 S = {2, 3, x, y}, what is the value of x+y ?

(1) and are prime numbers.

(2) 3, x , and are consecutive 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 Ruth began a job and worked continuously until she finished, at what time of day did she finish the job?

(1) She started the job at 8:15 a.m. and at noon of the same day she had worked exactly half of the time that it took her to do the whole job.

(2) She was finished exactly 7.5 hours after she had started.

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 rectangular garden that is 10 feet long and 5 feet wide is to be covered with a layer of mulch 0.5 foot deep. At which store, K or L, will the cost of the necessary amount of mulch be less?

(1) Store K sells mulch only in bags, each of which costs $7 and contains 6.25 cubic feet of mulch.

(2) Store L sells mulch only in bags, each of which costs $40 and contains 25 cubic feet of mulch.

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 Î”HGM, what is the length of side ?

(1) HG=5

(2) GM = 8

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 = 2y , what is the value of ?

(1) x>y

(2) 3x-2y=14

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

Claire paid a total of $1.60 for stamps, some of which cost $0.20 each, and the rest of which cost $0.15 each. How many 20-cent stamps did Claire buy?

(1) Claire bought exactly 9 stamps.

(2) The number of 20-cent stamps Claire bought was 1 more than the number of 15-cent stamps she bought.

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

Last year an employee received a gross annual salary of $18,000, which was paid in equal paychecks throughout the year. What was the gross salary received in each of the paychecks?

(1) The employee received a total of 24 paychecks during the year.

(2) The employee received a paycheck twice a month each month during the year.

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 integers, is r+s divisible by 3?

(1) is divisible by 3.

(2) is divisible by 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

A certain 4-liter solution of vinegar and water consists of liters of vinegar and liters of water. How many liters of vinegar does the solution contain?

(1) $\frac {x}{4}=\frac {3}{8}$

(2) $\frac {y}{4}=\frac {5}{8}$

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 radius of the circle above with center ?

(1) OP : PQ = 1 : 2.

(2) is the midpoint of chord .

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 on a fishing trip Jim and Tom each caught some fish, which one caught more fish?

(1) Jim caught 2/3 as many fish as Tom.

(2) After Tom stopped fishing, Jim continued fishing until he had caught 12 fish.

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 5x+3y=17 , what is the value of ?

(1) is a positive integer.

(2) y=4x

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

Yesterday Nan parked her car at a certain parking garage that charges more for the first hour than for each additional hour. If Nanâ€™s total parking charge at the garage yesterday was $3.75, for how many hours of parking was she charged?

(1) Parking charges at the garage are $0.75 for the first hour and $0.50 for each additional hour or fraction of an hour.

(2) If the charge for the first hour had been $1.00, Nanâ€™s total parking charge would have been $4.00.

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

Does the product jkmn equal 1?

(1) $\frac {jk}{mn}=1$

(2) $j=\frac {1}{k}$ and $m=\frac {1}{n}$

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 regular price for canned soup was reduced during a sale. How much money could one have saved by purchasing a dozen 7-ounce cans of soup at the reduced price rather than at the regular price?

(1) The regular price for the 7-ounce cans was 3 for a dollar.

(2) The reduced price for the 7-ounce cans was 4 for a dollar.

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<0 ?

(1) -2x>0

(2) x^3 <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

Of the 230 single-family homes built in City X last year, how many were occupied at the end of the year?

(1) Of all single-family homes in City X, 90 percent were occupied at the end of last year.

(2) A total of 7,200 single-family homes in City X were occupied at the end of last year.

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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GMAT Data Sufficiency Problems

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