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GMAT MATH PRACTICE TEST 1
®

The numbers on this test are real numbers. You may assume that positions of points, lines, and angles are in the order shown. A figure accompanying a problem-solving question is intended to provide information useful in solving the problem. Figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. Straight lines may sometimes appear jagged. All figures lie in a plane unless otherwise indicated.

®

® In data-sufficiency problems that ask for the value of a quantity, the data given in the statements is sufficient only when it is possible to determine exactly one numerical value for the quantity.

®

Example 1

What is the value of x + y?
(1) 0.5 (x + y) = −1 1 1 (2) x + y = 2 5 5

A

B

C

D •

E

From (1): x + y = −2, so (1) is sufficient. From (2): x + y = 10, so (2) is sufficient.
Example 2

DIRECTIONS: Data-sufficiency problems consist 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 is sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether 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. ® A figure accompanying a data-sufficiency problem will conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2).

N is a number in the set {35, 38, 41, 44, 47, 50}. What is N? A B C D E
(1) N is a multiple of 5. (2) N is even.


From (1): N = 35 or 50, so (1) is not sufficient. From (2): N = 38, 44, or 50, so (2) is not sufficient. Taking (1) and (2) together, N = 50, so taken together (1) and (2) are sufficient.
1. A club wants to mix 20 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used? A. B. C. D. E. 20 30 40 50 60

2. What is the solution of n + 2 > 8?

(1) n is a positive integer less than 10. (2) n is a one-digit prime number.

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MATH PRACTICE TEST

3. If p, q, and r are nonzero numbers and p = q − r , which of the following is equal to 1? A. B. C. D. E. r−p q r+p q r +q p r −q p p+q r

8. In the equation x2 + bx + 10 = 0, x is a variable and b is a constant. What is the value of b? (1) x − 2 is a factor of x2 + bx + 10 = 0. (2) 5 is a root of x2 + bx + 10 = 0. 9. What is the product of the greatest prime factor of 160 and the greatest prime factor of 168? A. B. C. D. E. 4 15 35 80 336

4. If x to y equals 5 to 3, what is the value of x + y? (1) 3x + y = 24 (2) y > 4

10. Is x3 greater than x? (1) 0 ≤ x ≤ 1 (2) x > 1

5. Which is the value of A. B. C. D. E. 2 7 4 7 6 7 7 2 7 6

(1/3) + (1/4) ? 1/2

11. Is the integer N divisible by 36? (1) N is divisible by 9. (2) N is divisible by 8. 12. Is the whole number N divisible by 3 or more positive integers? (1) N is a prime number. (2) 0 < N < 4 13. A soccer team had no ties in the 25 games they played. If they won 60% of their games, how many more games did they win than they lost? A. B. C. D. E. 5 10 15 25 40

6. If N is a positive integer, is N divisible by 12? (1) N is divisible by 6. (2) N is divisible by 2. 7. Based on the figure, what is the measure of ∠PRS? A. B. C. D. E. 50◦ 60◦ 70◦ 120◦ 180◦
P

14. Is x between 0 and 1? (1) x > x2 (2) x > x3 15. Is xy < 10? (1) x < 5 and y < 2 (2) x < −3 and y < −1

Q

R

S

GMAT MATH PRACTICE TEST 1

319

16. Carlos worked 40 hours last week, including 4 hours on Sunday. He earns $10.50 an hour 1 regularly and 1 times that on Sunday. How 2 much did he earn last week? A. B. C. D. E. $357 $399 $420 $441 $483

20. Which has the least value? A. B. C. D. E. 8 (23 )(52 ) 10 (22 )(53 ) 28 (23 )(53 ) 16 (22 )(52 ) 140 (24 )(53 )

17. If 5w = x + y, then what is the average (arithmetic mean) of w, x, and y in terms of w? A. 2w B. 3w C. w + 2 D. E. 1 w 3 1 w 2

21. What is N when N is an integer and x < N < y? (1) y − x = 7 (2) x and y are integers. 22. A woman is 4 times as old as her daughter. In 3 years she will be 3 times as old as her daughter. How old is the woman now? A. B. C. D. E. 3 years 6 years 12 years 24 years 36 years

18. What is the ratio of P to Q? (1) P is 4 less twice Q. (2) 4P equals 7Q. 19. If y 2+y 2 = 5 and = 6, what is the value of ? x 3 x+3 100 17 40 11 20 17 8 11

A. 11 B. C. D. E.

23. If a triangle has one side of 3 cm and another side of 4 cm, how long is the third side? (1) The triangle is a right triangle. (2) The third side is the longest side. 24. In PQR, PQ is an integer and PQ > 6. What is PQ? (1) PR + QR = 8 (2) PQR is equiangular and PR = 10. 25. What is the measure of the supplement of an angle with a measure of 42◦ ? A. B. C. D. E. 318◦ 228◦ 138◦ 48◦ 21◦

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MATH PRACTICE TEST

Questions 26 and 27 are based on the following graph.

26. Based on the graph, the Nile is longer than the sum of what two rivers? A. B. C. D. E. Congo and Euphrates Euphrates and Amazon Congo and Yangtze Volga and Congo Volga and Euphrates

29. What is the average (arithmetic mean) of the values 39, 40, 39, 45, 42, 35, 47? A. B. C. D. E. 39 41 42 45 47

27. Based on the graph, the Nile is how much longer than the Congo? A. B. C. D. E. 100 miles 200 miles 600 miles 800 miles 1,200 miles

30. A rectangular room that is 8 meters by 5 meters is to be carpeted using carpet costing $12.50 per square meter. How much will the carpet cost? A. B. C. D. E. $40 $100 $162.50 $480 $500

28. A hat contains 12 cards marked with a star and 18 unmarked cards. What is the probability that one card selected at random will be marked with a star? A. B. C. D. E. 2 5 3 5 2 3 3 2 5 2

31. A rectangular box that is 7 inches long by 4 inches wide by 3 inches deep is carefully packed to hold the maximum number of blocks that are 1 inch by 1 inch by 2 inches. How many blocks can be packed into the box? A. B. C. D. E. 84 blocks 42 blocks 28 blocks 14 blocks 2 blocks

GMAT MATH PRACTICE TEST 1

321

32. Is n < 0? 1 0 (1) 33. The original funding to build a housing development was $1.75 billion. The funding was increased to $2.5 billion. By what percentage was the original funding increased? A. B. C. D. E. 38% 43% 52% 65% 71%

34. Based on the graph, what is the ratio of the proposed spending on national security compared to health? A. B. C. D. E. 11 to 3 3 to 1 33 to 5 1 to 3 3 to 11

35. Based on the graph, approximately what part of the proposed budget is for health, education, and interest combined? A. B. C. D. E. 1 20 1 10 1 5 1 4 1 3

Questions 34 and 35 are based on the following graph.

36. What is the value of x3 − y3 ? (1) x − y = x + 3 (2) x − y = 4 − y

37. If the sale price of a television is $216 after a 10% reduction was made, what was the regular price of the television? A. B. C. D. E. $21.60 $24.00 $194.40 $237.60 $240.00

STOP
DO NOT GO BACK AND CHECK YOUR WORK.

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