GRE Diagnostic Math Section 2.pages
Rules; 20 Questions, 35 Minutes, Section (4 of 4)
1. Over the whole five 5-year periods shown in the table, in which of the categories below does XYZ publishers publish the greatest number of new titles? A. Fiction – crime B. Fiction – historical C. Fiction – other D. Autobiography & Biography E. Non-fiction – general
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GRE Diagnostic Math Section 2.pages
2. In how many of the categories shown on the table does the number of new titles by female authors exceed the number of new titles by male authors in the ten-year period represented by periods 4 and 5? A. 1 B. 2 C. 3 D. 4 E. 5
3. Which of the following can be correctly deduced from the table? (Select ALL that apply) A. In the Fiction – sci-fi category over the 25-years depicted in the table the ratio of new titles by female authors to those by male authors is 1:6 B. The average (arithmetic mean) number of titles published each five-year period in the category Fiction - Historical is 8.6 C. The total number of new titles published in period 5 is greater than the total number of new titles published in period 1 4. If the gender ratio is defined by the publisher as the number of new titles published by male authors divided by the number of titles published by female authors, then, in Period 3, in how many of the seven categories shown in the table is the gender ratio less than or equal to 2? A. 1 B. 2 C. 3 D. 5 E. 6 5. Which of the following figures is the closest to the value of new titles in the Fiction-romantic category in period 5, as a percent of new titles in all the Fiction categories in Period 5? A. 30 B. 22 C. 20 D. 15 E. 12
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GRE Diagnostic Math Section 2.pages
6. x is 3 less than y x+5
y+2
A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information
7. p + q = 3, and p-q = 6 q
0
A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information 8. A circle and a line lie in the same plane. The greatet possible number of points that are on both the circle and the line.
2
A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information
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GRE Diagnostic Math Section 2.pages
9. Three boxes contain 20, 25 and 27 sweets respectively. The least number of sweets that need to be transferred so that there is an equal number in each box.
5
A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information
10. ! The sum of all the integers from -10 to 12 inclusive.
23
A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information 11. There are 28 students in a class all born in 1990 The probability that all their birthdays are in February
The probability that all their birthdays fall on a Friday
A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information
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GRE Diagnostic Math Section 2.pages
12. C is the midpoint of segment AE and AB < DE BC
CD
A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information
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GRE Diagnostic Math Section 2.pages
13. This question and the next refer to the following: The graph shows the sales figures for a certain company in five consecutive years. Percentage increase in sales from 1989 to 1991
Percentage fall in sales from 1991 to 1993
A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information
14. Refer to the previous question The mean (average) of the 5 annual sales figures
The median of the 5 annual sales figures
A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information
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GRE Diagnostic Math Section 2.pages
15. n is a positive integer p = 8 x 9 x 11 x n The remainder when p is divided by 6
The remainder when p is divided by 33
A. The quantity on the left is greater B. The quantity on the right is greater C. Both are equal D. The relationship cannot be determined without further information
16. Let the function f be defined by f(x) = x - 1 What is the value of y if y is a positive integer such that 1/3 f(y") = 5?
17. The amount of time taken to paint a wall is inversely proportional to the number of painters working on the job. If it takes 3 painters 5 days to complete such a job, how many days longer will it take if there are only 2 painters working?
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GRE Diagnostic Math Section 2.pages
18. Line l and line m lie in the same plane but have no points in common. They are both tangent to a circle of area 9#. What is the shortest distance between any point on l and any point on m?
19. A box contains 5 chocolates with soft centers, 6 with nut centers, and 11 with hard caramel centers. Three students take turns to take a chocolate at random from the box and eat it. If the probability that all three students take soft centers is 1/x, what is the value of x?
20. At one point in a game the shooting team has a ratio of hits to misses of 5:1. After the team misses the next three shots, which are the last in the game, its ratio of hits to misses is 5:2. What is the total number of shots taken by the team in the game?
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