GRE – Quantitative Practice Test
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Question 1 of 32
1. Question
 A Zumba fitness class has 48 students enrolled. Onethird of the females are less than 6ft. tall, and threefourths of the class are males. How many females are 6 ft. or taller in height?
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Question 2 of 32
2. Question
2. If x and y are integers, what is the value of z?
(1) z = 3^{(x – y)}
(2) 2x = 2y + 8
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Question 3 of 32
3. Question
3. If a + b – c de = 0 and d ≠ 0, then e =
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Question 4 of 32
4. Question
4. In the triangle below, which angle measures the greatest?
(1) a + b > c
(2) a^{2} > b^{2} + c^{2}
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Question 5 of 32
5. Question
Question 5 is based on the data from the two graphs below.
5. According to the graphs above, approximately what percent of the 2011 spectator sports dollar was spent on baseball?
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Question 6 of 32
6. Question
 If 40% of Chris’s current annual income comes from interest on dividends, and he anticipates an increase of 25% on next year’s dividend returns, how much money can he expect from dividends next year?
(1) This year, Chris’s total income will be $80,000.
(2) Chris’s total income next year is expected to be $100,000.
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Question 7 of 32
7. Question
7. Six horses compete in a race with different 1st, 2nd, and 3rdplace finishes. How much greater is the number of possible race finishes compared to the number of possible committees of three that can be formed from a group of six people?
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Question 8 of 32
8. Question
8. What is the value of (x + 4y)^{2}?
(1) What is the value of (x + 4y)^{2}?
(2) (x – 4y)^{2} = 49
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Question 9 of 32
9. Question
 Xavier is enrolled in a biology class that requires four quizzes, a midterm exam, and a final exam. Each quiz is worth 5% of the total grade. The final exam is worth three times as much as the midterm exam. At the low end of the grading scale, a grade of “A” can be earned with an average of 87%. Xavier’s quiz percentages are 95%, 85%, 93%, and 87%, and he received a score of 75% on the midterm exam. What is the minimum score necessary on the final exam in order for Xavier to receive an “A” in the class?
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Question 10 of 32
10. Question
10. How long will it take Jonas and Rachel to do the job together?
(1) Jonas works twice as fast as Rachel and can do the job in 1 hour alone.
(2) Jonas and Rachel working together is 20 minutes less time than Jonas working alone.
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Question 11 of 32
11. Question
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Question 12 of 32
12. Question
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Question 13 of 32
13. Question
 If #y = (1 – y)^{2} for all real values of y and (y + 2)^{2} = #(y +1), then y =
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Question 14 of 32
14. Question
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Question 15 of 32
15. Question
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Question 16 of 32
16. Question
 On a number line, integers A, B, C, and D are such that 0 < A < B < C < D. If AB:BD = 1:5 and BC = CD, then what is the length of AD?
(1) D = 20
(2) BC = 5
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Question 17 of 32
17. Question
 Are Jorge and Manuel the same age?
(1) Jorge is not the same age as Maria.
(2) Maria is not the same age as Manuel.
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Question 18 of 32
18. Question
 Does the rhombus or the equilateral triangle have the greater area?
(1) The perimeter of the triangle is 18 and the perimeter of the rhombus is 20.
(2) One of the angles of the triangle is equal to one of the angles of the rhombus.
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Question 19 of 32
19. Question
Question 23 refers to the following data set.
A = {3, 5, 7, 8,}
B = {6, 7, 8, 9, 11}
 If one integer is randomly selected from set A and another integer is randomly selected from set B, what is the probability that their product will be between 30 and 45?
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Question 20 of 32
20. Question
 In the equation x^{2} – kx – 4 = 8, x has two possible values. If x > 0, what is value of x?
(1) k = 11
(2) x = –1 is also a solution to the equation.
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Question 21 of 32
21. Question
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Question 22 of 32
22. Question
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Question 23 of 32
23. Question
 The points (q, r) and (q + r, 2q – r) lie on a line with equation 2x + 3y = 5. What is the value of 5q + r?
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Question 24 of 32
24. Question
 x = ?
(1) 2x – 1 = 7
(2) x^{2} – 8x + 16 = 0
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Question 25 of 32
25. Question
29. A volleyball team must consist of 3 men and 3 women. If there are 4 men and 6 women available, how many different teams are possible?
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Question 26 of 32
26. Question
 Which of the two integers r and p is greater?
(1) r^{2} > p^{2}
(2) r + p < 0
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Question 27 of 32
27. Question
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Question 28 of 32
28. Question
32. In 2012, Santa Fe had 485,000 registered voters. In 2011, there were 415,000 registered voters. What is the approximate percent increase in registered voters?
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Question 29 of 32
29. Question
 What year was James born?
(1) James was born 31 months before Paula.
(2) Paula was born in 2001.
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Question 30 of 32
30. Question
 If x, y, and z are unequal prime numbers, what is the value of z?
(1) x^{2}y^{2} = 484
(2) xz = 55
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Question 31 of 32
31. Question
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Question 32 of 32
32. Question
 What is the value of 2x – 3y?
(1) 4x^{2} – 12xy + 9y^{2} = 16
(2) 2x > 3y
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