These sample GMAT problems are all GMAT data sufficiency type questions, which are part of the GMAT problem solving section of the GMAT. Some are tricky. Good luck!

Data Sufficiency GMAT

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Question

If a bottle is to be selected at random from a certain collection of bottles, what is the probability that the bottle will be defective?

(1) The ratio of the number of bottles in the collection that are defective to the number that are not defective is 3:500.

(2) The collection contains 3,521 bottles.

Possible Answers

Selected	Possible Answer
	A. If statement 1 alone is sufficient to answer the question, but statement 2 alone is not sufficient.
	B. If statement 2 alone is sufficient to answer the question, but statement 1 alone is not sufficient.
	C. If both statements together are needed to answer the question, but neither statement alone is sufficient.
	D. If either statement by itself is sufficient to answer the question.
	E. If not enough facts are given to answer the question.

Question

What is the value of k^2 - k ?

(1) The value of $k - \frac{1}{k}$ is 1.

(2) The value of 2k –1 is $\sqrt 5 .$

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 grocery shopper received $0.25 off the original price of a certain product by using a coupon, what was the original price of the product?

(1) The shopper received a 20 percent discount by using the coupon.

(2) The original price was 25 percent higher than the price the shopper paid by using the coupon.

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 state university last term, there were p students each of whom paid either the full tuition of dollars or half the full tuition. What percent of the tuition paid by the students last term was tuition from students who paid the full tuition?

(1) Of the students, 20 percent paid the full tuition.

(2) The students paid a total of $91.2 million for tuition last term.

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 positive integer equal to the square of an integer?

(1) For every prime number , if is a divisor of , then so is p^2 .

(2) $\sqrt {n}$ is an integer .

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 Casey’s total score for eighteen holes of golf?

(1) Casey’s score for the first nine holes was 13 less than his score for the last nine holes.

(2) Twice Casey’s score for the last nine holes was 58 more than his score for the first nine holes.

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) When is multiplied by 8, the result is between 50 and 60.

(2) When is doubled, the result is between 10 and 15.

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 rate, in cubic feet per minute, at which water is flowing into a certain rectangular tank?

(1) The height of the water in the tank is increasing at the rate of 2 feet per minute.

(2) The capacity of the tank is 216 cubic feet.

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

Pam and Ed are in a line to purchase tickets. How many people are in the line?

(1) There are 20 people behind Pam and 20 people in front of Ed.

(2) There are 5 people between Pam and Ed.

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 volume of a certain cube?

(1) The sum of the areas of the faces of the cube is 54.

(2) The greatest possible distance between two points on the cube is $3 \sqrt{3}.$

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

This quick GMAT Review Test covers only the data-sufficiency questions in the Quantitative section of the GMAT. You should take this test to see how ready you are to confront that section of the test. Note that a calculator is NOT allowed. All of these problems consist of a question and two statements. You have to decide whether the data given in the statements, together with knowledge of general math and everyday facts, are sufficient for answering the question

How many pounds did I lose after my last diet?

(1). I lost 10% of my original weight.
(2). After the diet, I weighed 170 pounds.

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 r-s=400 , does r=300 ?

(1). r=-3s
(2). s=150

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

I have 16 sheep, some of which are white and some are black. How many are black?

(1).The number of white sheep is higher than the number of black ones by 2.
(2).The number of white sheep is odd.

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

None of a,b,c and are . Is positive?

(1). is positive
(2). is negative

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

and

are positive integers. Is

a factor of 24?

(1).

is a factor of 24
(2). B=4

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

I have to borrow a book, which I can do either at school or at the library. Which one is closest to my home?

(1). It takes me half an hour to drive to school from my home.
(2). It takes me one hour to get to the library from my school.

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

Does (m ^2) -(n^ 2)=218 ?

(1). m-n=109
(2). m+n=0 .

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

Is a>1 ?

(1). $0< \sqrt {a} <1$
(2). (a^2)=4 .

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

and

are positive integers. Is the product

odd?

(1). x=5

(2).

and

are consecutive integers.

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 is an integer, is k *|k|<2^k ?

(1). k<0
(2). k =-10

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 raincoat and an umbrella cost a total of $53.50. What is the cost of the raincoat?

(1) If the cost of the raincoat were to increase by 10 percent, the raincoat and the umbrella would cost a total of $58.00.

(2) The cost of the raincoat is $2.50 more than 5 times the cost of the umbrella.

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^2 + 2xy + y^2 ?

(1) x + y = 7

(2) x=2

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 year X a total of 355 billion dollars was spent for health care in the United States, 30 percent of which was spent by private health insurance companies. Was the amount spent for health care by the federal government’s medicare program less than 60 billion dollars?

(1) In year X medicare spent more than 1/2, but less than 2/3 , of the amount spent by the private health insurance companies for health care.
(2) In year X medicare spent 50 billion dollars less for health care than the amount spent by private health insurance companies.

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 $xyz \not= 0$ what is the value of $\frac {z}{y^2}$ ?

(1) $x = \frac {3}{4} y$
(2) $z = \frac {2}{3} x$

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 y = ax + b , where and are constants, what is the value of when x = 10 ?

(1) When x = 1, y = 5
(2) When x = 5, y = 13 .

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 r > s ?

(1) -r + s < 0

(2) r < | s |

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 each of the positive integers a, b , and is a prime number and abc = 30 , what is the value of ?

(1) a < b < c

(2) a + 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

Jane is in a certain ticket line in which each of the other people in the line is either behind her or ahead of her. In the line, the number of people ahead of Jane is 5 more than the number of people behind her. What is the total number of people in the line?

(1) There are 11 people ahead of Jane in the line
(2) The total number of people in the line is 3 times the number of people behind Jane.

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 positive, then is what percent of ?

(1) 15 is 25 percent of
(2) is 10 percent of .

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 positive integer is divided by 2, the remainder is 1. What is the remainder when is divided by 4 ?

(1) 31 < x < 35
(2) is a multiple of 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 fractional part of the total surface area of cube is red?

(1) Each of 3 faces of is exactly $\frac {1}{2}$ red.
(2) Each of 3 faces of is entirely white.

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 $xyz \not= 0$ , what is the value of $\frac {x^5 y^4 z^2}{z^2 y^4 x^2}$

(1) x = 1
(2) y = 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

The table above gives the number of calories and grams of protein per kilogram of foods S and T. If a total of 7 kilograms of S and T are combined to make a certain food mixture, how many kilograms of food S are in the mixture?

(1) The mixture has a total of 12,000 calories.
(2) The mixture has a total of 810 grams of protein.

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 the price of a magazine is to be doubled, by what percent will the number of magazines sold decrease?

(1) The current price of the magazine is $1.00.
(2) For every $0.25 of increase in price, the number of magazines sold will decrease by 10 percent of the number sold at the current price.

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

Each M-type memory unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes of the computer?

(1) 2 M-type memory units will increase the computers base memory capacity by 300 percent .
(2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity of the computer after 1 M-type memory unit is added to the base memory capacity.

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 J, K, L, M , and and positive integers in ascending order, what is the value of ?

(1) The value of is 3.
(2) The value of is 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

If a, b , and are integers, is the number c * b * a divisible by 3?

(1) a+b 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

If is an integer, what is the value of ?

(1) -2(x + 5)<-1
(2) -3x > 9

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 the figure above, D is a point on side AC of ΔABC. Is ΔABC isosceles?

(1) The area of triangular region ABD is equal to the area of triangular region DBC.
(2) BD is perpendicular to AC and AD = DC

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

There are exactly 6 teams in league . What was the total number of games played by the 6 teams last season?

(1) Each team in league played each of the other teams at least once.
(2) No team in league played more than 7 games

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 the terminating decimal equivalent of d, what is the number of nonzero digits to the right of the deci-mal point?

(1) $d = 5 + \frac {416}{1000}$
(2) The terminating decimal equivalent of d has one nonzero digit to the left of the decimal point.

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

Are integers and consecutive ?

(1) is odd and is even.
(2) r- s=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

Of the books that are standing upright along the top shelf of a bookcase, some are 1/2 -inch thick and the rest are 3/4 -inch thick. What is the total number of books standing upright along the top shelf ?

(1) Half of these books are 1/2 -inch thick.
(2) The total thickness of all of these books is 25 inches.

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 ?

(1) $\sqrt {y} =-x$
(2) x < 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

Richard’s salary is greater than $25,000. Is Amy’s salary greater than Brian’s salary?

(1) Brian’s salary is 125 percent of Richard’s salary, and Amy’s salary is greater than 130 percent of Richard’s salary.
(2) Richard’s salary is 75 percent of Amy’s salary but is 80 percent of Brian’s salary.

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 x+y divisible by 6 ?

(1) is divisible by 6.
(2) is divisible by 6.

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 total number of employees in the per-sonnel and data processing divisions of Company S ?

(1) The number of employees in the data processing division is 3 more than twice the number of employees in the personnel division.
(2) The number of employees in the data process-ing division is 15.

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 given class, what is the average (arithmetic mean) height per pupil ?

(1) The average (arithmetic mean) height of the girls in the class is 61 inches.
(2) The average (arithmetic mean) height of the boys in the class is 64 inches.

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 the figure above, what is the length of segment BC ?

(1) x = 90
(2) The perimeter of △ABC is 24.

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 GMAT

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