GMAT Data Sufficiency Test

Question

Is p=q ?

(1) (p+q)2/pq=4

(2) p2-q2-150p+150q=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

If p<100 and is the cube of a positive integer, what is the value of ?

(1) is even.

(2) is the square of an integer.

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

$50000 are distributed among P, Q and . Who got the least amount?

(1) received one-fourth the amount that and received together.

(2) received what and received together.

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 average of and 91y ?

(1) x+13y=100 .

(2) x+y=88 .

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 a positive integer greater than 1, is 3n(n2 − 1) divisible by 12 ?

(1) is odd.

(2) is a multiple of 3.

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 q=3 ?

(1) q4=81 .

(2) |q|=3

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

50% of the inhabitants of the alien planet ‘Fisto’ own heaters and personal computing devices. What percentage of the inhabitants of the planet own personal computing devices, but not heaters?

(1) 60% of the inhabitants own personal computing devices.

(2) 70% of the inhabitants own heaters.

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

By what percentage did the price of a pound of tomatoes increase?

(1) Before the increase, the price of a pound of tomatoes was 50 cents.

(2) The price of tomatoes increased by 20 cents per pound.

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

Boxes A, B and C together contain a total of 8 pencils. Each box contains at least 1 pencil. Box A contains more than 1 pencil. How many pencils does each box contain?

(1) The number of pencils in Box A is not a prime number.

(2) Box B and Box C contain the same number of pencils.

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 five more scouts are added to a scout camp group, would the scout leader be able to divide the group into teams of 10 scouts each without any remainder?

(1) Initially, the number of scouts in the group was not divisible by ten.

(2) If 25 scouts are added to the group, the group can be divided into teams of 10 without any remainder.

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 and are positive, is 1/(1/a+1/b) less than ?

(1) a=2b

(2) a+b>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

If 5a=9b=15c , what is the value of a+b+c ?

(1) 3c-a=5c-3b

(2) 6cb=10a

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 triangle ABC angle A is the greatest angle. D is the foot of the perpendicular dropped on to BC from A. Is triangle ABC right-angled?

(1) AD^2=BD*DC .

(2) $\frac {AD}{DC} < \frac {BD}{AD}$ .

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>y^2 ?

(1) x>y+5

(2) x^2-y^2=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

In a company of 140 employees, there are three departments, A, B and C. The average number of safety errors committed by each employee in department A in 2005 was 10, and the average number of safety errors committed by each employee in department B was 12.25. Was the average number of safety errors committed by each employee in the company greater than 11?

(1) The 50 employees in department C each committed an average of 13 safety errors in 2005.

(2) There are 44 employees in department B.

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 integer , positive ?

(1) x>x^3

(2) x<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

Is the two digit number XY divisible by 7?

(1) X + Y = 7

(2) 4X + 6Y 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

If 1, is n=2 ?

(1) has only two positive factors.

(2) The difference between any two positive factors 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

Is n odd?

1. $a^{n} - b^{n}$ is divisible by a – b

2. $a^{n} + b^{n}$ is divisible by a + b

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 integers , is $x^{16}-y^8+345y^2$ divisible by 15 ?

(1) is a multiple of 25 and is a multiple of 20

(2) y=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.

GMAT Data Sufficiency Test

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