Here’s a collection of real GMAT data sufficiency sample problems from the GMAT quantitative section of the test. No calculators allowed. If you can ace this test you should do well on the real thing. Good luck!

GMAT Data Sufficiency Sample Problems

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Question

Larry saves x dollars per month. Will Larryâ€™s total savings one year from now exceed his present savings by at least $500 ? (Assume that there is no interest.)

(1) In 6 months Larry’s total savings will be $900.
(2) In 3 months Larry’s total savings will exceed his present savings by $150.

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

According to the graph above, the sale of fruits and vegetables in Store S last week accounted for what percent of the total sales income for the week?

(1) Last week the total income from the sale of fruits and vegetables in Store S was $16,000.
(2) x = 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

In a sequence of numbers in which each term after the first term is 1 more than twice the preceding term, what is the fifth term?

(1) The first term is 1.
(2) The sixth term minus the fifth term is 32.

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

Pat is reading a book that has a total of 15 chapters. Has Pat read at least 1/3 of the pages in the book?

(1) Pat has just finished reading the first 5 chapters.
(2) Each of the first 3 chapters has more pages than each of the other 12 chapters in the book.

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 area of the circular region with center ?

(1) is perpendicular to
(2) The area of triangular region OMT is 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

If a_1, a_2, a_3, . . . , a_n is a sequence such that a_n=2n for all $n \geq 1$ , is a_i > a_j ?

(1) is odd and is even
(2) i^2 > j^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 |x-3|<7 ?

(1) x > 0
(2) x <10

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 the sum of the first positive integers, what is the value of ?

(1) S < 20
(2) S^2 > 220

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 the average (arithmetic mean) monthly rainfall during 1984 in region ? (1) In region the total rainfall for the first 6 months of 1984 was twice the total rainfall for the last 6 months of 1984.
(2) In region the average monthly rainfall for the first 6 months of 1984 was 2.31 inches more than the average monthly rainfall for the last 6 months of 1984.

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 2x + 3y = 5 , what is the value of ?

(1) x+z=3+2y+z
(2) $y =-\frac {1}{7}$

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 digit is the hundredthsâ€™ digit in the decimal d=0.2h6 , what is the value of , rounded to the nearest tenth?

(1) d < 1/4
(2) h < 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

What is the value of x^2 - y^2 ?

(1) x - y = y + 2
(2) $x - y =\frac {1}{x+y}$

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

Is the perimeter of Square greater than the perimeter of equilateral triangle ?

(1) The ratio of the length of a side of to the length of a side of is 4:5.
(2) The sum of the lengths of a side of and a side of is 18.

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 10 and 100, what is the value of ?

(1) One of â€™s digits is 3 more than the other, and the sum of its digits is 9.
(2) Q<50

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 and pq =72 , what is the value of ?

(1) $\frac {q}{6}$ is an integer
(2) $\frac {p}{6}$ 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

If * represents one of the operations +, â€“,and Ã— , is k * (l+m) = (k * l) + (k * m) for all numbers l,k and m?

(1) k * l is not equal to l * k for some numbers k.
(2) * represents subtraction.

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

From May 1, 1960 to May 1, 1975, the closing price of a share of stock X doubled. what was the closing price of a share of stock X on May 1, 1960?

(1) From May 1,1975, to May 1,1984, the closing price of a share of stock X doubled.
(2) From May 1,1975, to May 1,1984, the closing price of a share of stock X increased by $4.50.

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 of the boys in a group of 100 children have brown hair?

(1) Of the children in the group, 60 percent have brown hair.
(2) Of the children in the group, 40 are boys.

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, is $\sqrt {d}$ an integer?

(1) is the square of an integer.
(2) $\sqrt {d}$ is the square of 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

If $x \not = 0$ then find the value of $[\frac {x ^p}{x ^q}] ^4$

(1) p=q
(2) x=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

Kay put 12 cards on a table, some faceup and the rest facedown. How many were put facedown?

(1) Kay put an even number of the cards faceup.
(2) Kay put twice as many of the cards faceup as she put facedown.

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 percent of 16 is ?

(1) is 5 percent of 10.
(2) 400 percent of is 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

Did United States carriers use more than 10 billion gallons of jet fuel during 1983?

(1) United States carriers paid a total of $9.4 billion for the jet fuel used in 1983.
(2) United States carriers paid an average (arithmetic mean) of $0.90 per gallon for the jet fuel used in 1983.

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 Î”RST a right triangle?

(1) The degree measure of $\angle R$ is twice the degree measure of $\angle T.$

(2) The degree measure of $\angle T$ is 30.

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, is greater than 1?

1. $1 > \frac {1}{x} .$
2. $- \frac {1}{x} > -1 .$

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

The figure above shows four pieces of tile that have been glued together to form a square tile ABCD. Is PR=QS?

(1) BQ = CR = DS = AP
(2) The perimeter of ABCD is 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

In Country if 60 percent of the women aged 18 and over are in the labor force, how many million women are in the labor force?

(1) In Country , women comprise 45 percent of the labor force.
(2) In Country , there are no women under 18 years of age in the labor force.

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 old is Jim?

(1) Eight years ago Jim was half as old as he is now.
(2) Four years from now Jim will be twice as old as he was six years ago.

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) is negative.
(2) 2x=-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

If and are different positive numbers, is between and ?

(1) z > 0

(2) z< 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

What is the number of 360-degree rotations that a bicycle wheel made while rolling 100 meters in a straight line without slipping?

(1) The diameter of the bicycle wheel, including the tire, was 0.5 meter.
(2) The wheel made twenty 360-degree rotations 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 and are positive, whatâ€™s the value of ?

(1) x=3.927y
(2) y=2.279

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

John and David each received a salary increase. Which one received the greater salary increase?

(1) Johnâ€™s salary increased 8 percent.
(2) Davidâ€™s salary increased 5 percent.

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 what percent of ?

(1) $r =\frac {3}{4}s$
(2) $r \div s=\frac {75}{100}$

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 the average number of miles per gallon of gasoline for a car during a certain trip?

(1) The total cost of the gasoline used by the car for the 180-mile trip was $12.00.
(2) The cost of the gasoline used by the car for the trip was $1.20 per gallon.

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 shirt and a pair of gloves cost total of $41.70. How much does the pair of gloves cost?

(1) The shirt costs twice as much as the gloves.
(2) The shirt costs $27.80.

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 certain animated cartoon consists of a total of 17,280 frames on film, how many minutes will it take to run the cartoon?

(1) The cartoon runs without interruption at the rate of 24 frames per second.
(2) It takes 6 times as long to run the cartoon as it takes to rewind the film, and it takes a total of 14 minutes to do both.

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. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
	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, is $\frac {x}{y}$ greater than 1?

(1) xy >1
(2) x-y>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. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.
	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

Carlotta can drive from her home to her office by one of two possible routes. If she must also return by one of these routes, what is the distance of the shorter route?

(1) When she drives from her home to her office by the shorter route and returns by the longer route, she drives a total of 42 kilometers.
(2) when she drives both ways from her home to her office and back, by the longer route, she drives a total of 46 kilometers.

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 the sum of a sequence of consecutive odd integers, starting at 1?

(1) n = 8
(2) The square of the number of integers on the list is 64.

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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