## Free and New GMAT Practice Test Sample Questions (1-100)

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Part 1-GMAT Quantitative

A Problem-solving

Solve these problems and indicate the best of the answer choices given. All

Numbers used are real numbers.

Question 1

If a = 3 and b = -2, what is the value of a2 + 3ab – b2?

A. 5

B. -13

C. -4

D. -20

E. 13

Question 2

34 is what percent of 80?

A. 34%

B. 40%

C. 42.5%

D. 44.5%

E. 52%

Question 3

Jack and Kevin play in a basketball game. If the ratio of points scored by

Jack to points scored by Kevin is 4 to 3, which of the following could NOT be the total number of points scored by the two boys?

A. 7

B. 14

C. 16

D. 28

E. 35

Question 4

Factor the following expression: x2 + x – 12

A. (x – 4) (x + 4)

B. (x – 2) (x + 6)

C. (x + 6) (x – 2)

D. (x – 4) (x + 3)

E. (x + 4) (x – 3)

Question 5

The average of six numbers is 4. If the average of two of those numbers is 2, what is the average of the other four numbers?

A. 5

B. 6

C. 7

D. 8

E. 9

Question 6

What is the next-highest prime number after 67?

A. 68

B. 69

C. 71

D. 73

E. 76

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**GMAT Test Answer Key with explanation**

**1. B. Simply substitute the given values for a and b perform the required operations.**

**2. C. This problem is solved by finding x in this equation: 34/80 = x/100.**

**3. C. Every possible combination of scores is a multiple of 7, since the two terms of the ratio have a sum of seven.**

**4. E. To solve this problem, work backwards. That is, perform FOIL on each answer choice until you derive the original expression.**

**5. A. A set of six numbers with an average of 4 must have a collective sum of 24. The two numbers that average 2 will add up to 4, so the remaining numbers must add up to 20. The average of these four numbers can be calculated: 20/4 = 5.**

**6. C. Prime numbers are those that are only evenly divisible by one and themselves.**

**7. D. Simple Multiplication.**

**8. D. Multiply 30 by 0.2 and subtract this from the original price of the shirt to find the sale price: $24. Then multiply 24 by 0.2 and add the product to the sale price to find the final price.**

**9. C. There are 12 inches in a foot and 3 feet in a yard. Four and a half yards is equal to 162 inches. To determine the number of 3-inche segments, divide 162 by 3.**

**10. A. If it takes 3 people 3 1/3 days to do the job, then it would take one person 10 days: 10**

**3*3 ½=10 thus, it would take 2 people 5 days, and one day of work for two people would complete 1/5 of the job.**

**11. E. There are 60 minutes in an hour, so Dave can deliver 240 newspapers every hour. In 2 hours, then, he can deliver 480 papers.**

**12. C. Since 4 is the same as 22, 46 = 212. When dividing exponents with the same base, simply subtract the exponent in the denominator from the exponent in the numerator**

**13. A. Convert 20% to the fraction 1/5, then multiply by 12/5. The resulting fraction, 12/25, must have both numerator and denominator multiplied by 4 to become a percentage.**

**14. E. This problem can be solved with the following equation, in which x = the total capacity of the tank: 1/2x=1/3x+3**

**Data sufficiency**

**15. E. The two statements establish only that Alice is paid more than both Jonathan and Deborah; they do not indicate which of these latter two is paid more.**

**16. A. Since the cubes of a and b will retain the original sign (whether positive or negative), it will be possible to assess the relative sizes of a and b.**

**17. A. If the two shorter sides add up to 4 inches in length, the two longer sides must be greater than 4 inches, meaning that the perimeter will be greater than 8 inches.**

**18. B. The first statement only establishes that a is a positive number; it does not require that a is an integer.**

**19. C. 60 is the only integer between 40 and 70 that is a multiple of 2, 4, and 5.**

**20. A. The first statement establishes that the larger group constitutes half of the total amount of marbles, which means it must be equal to 25 marbles.**

**21. D. For (1), the fact that a positive number multiplied by b has a positive product establishes that b is a positive number. For (2), any positive number with a negative sign placed in front of it will become negative, indicating that b is a positive number.**

**22. B. It would be possible for x and y to be negative numbers and still satisfy the conditions of (1), but it then would be impossible to satisfy (2).**

**23. C. As long as the sum of all five test scores can be calculated, it will be possible to calculate the average score.**

**24. C. In order for (1) to be true, y must be either positive or zero. Therefore, according to the terms of (2), y must be odd.**

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Question 7

Solve: 0.25 x 0.03 =

A. 75

B. 0.075

C. 0.75

D. 0.0075

E. 7.5

Question 8

Dean’s Department Store reduces the price of a $30 shirt by 20%, but later raises it again by 20% of the sale price. What is the final price of the shirt?

A. $24.40

B. $32

C. $30

D. $28.80

E. $26.60

Question 9

How many 3-inch segments can a 4.5-yard line be divided into?

A. 15

B. 45

C. 54

D. 64

E. 84

Question 10

Sheila, Janice, and Karen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how much of the job could Janice and Karen do in one day?

A. 1/5

B. 1/4

C. 1/3

D. 1/9

E. 1/8

Question 11

Dave can deliver four newspapers every minute. At this rate, how many newspapers can he deliver in 2 hours?

A. 80

B. 160

C. 320

D. 400

E. 480

Question 12

46 ÷ 28 =

A. 2

B. 8

C. 16

D. 32

E. 64

Question 13

What is 20% of 12/5, expressed as a percentage?

A. 48%

B. 65%

C. 72%

D. 76%

E. 84%

Question 14

Archie’s gas tank is 1/3 full. If Archie adds 3 gallons of gas to the tank, it will be ½ full. What is the capacity in gallons of Archie’s tank?

A. 28

B. 12

C. 20

D. 16

E. 18

Data sufficiency

This Data Sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question, using only the data given in the statements and your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counter clockwise).

Question 15

Does Jonathan get paid more than Deborah?

(1) Alice gets paid more than Deborah.

(2) Jonathan makes less money than Alice.

A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) 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 16

Is the integer a less than the integer b?

(1) a3 < b3

(2) a2 < b2

A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) 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 17

Is the perimeter of a given rectangle greater than 8 inches?

(1) The two shorter sides of the rectangle are 2 inches long.

(2) The length of the rectangle is 2 inches greater than the width of the

A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) 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 18

Is a an integer?

(1) a > 0

(2) 4

^{2}+ 3^{2}= a^{2}
A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) 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 19

What is the value of the integer P?

(1) P is an integer multiple of 2, 4, and 5.

(2) 40 < P < 70

A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) 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 20

Brian is dividing 50 marbles into 3 groups. How many marbles are in the largest of the three groups?

(1) The sum of the two smaller groups of marbles is equal to the largest group of marbles.

(2) The smallest group contains 6 marbles.

A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) 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 21

Is b a positive number?

(1) 1,452(b) > 0

(2) –b < 0

A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) 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 22

Is x greater than y?

(1) x > 2y

(2) x – y > 0

A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) 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 23

What is the average test score of Angela, Barry, Carl, Dennis, and Edward?

(1) The average of the test scores of Barry, Carl, and Edward is 87.

(2) The average of the test scores of Angela and Dennis is 84.

A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) 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 24

If y is an integer, is it an odd number?

(1) y

^{3}≥ 0
(2) y is either an odd number or a negative number

A. Statement (1) ALONE is sufficient, but statement (2) is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) 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.

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