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gre Latest Exam Pattern - gre Sample Question with Solutions Page 31

(#M40151660) GRE QUESTION Arithmetic mean Keep an EYE

List L: 2, x y
List M: 1, 2, 3, x, y
If the average (arithmetic mean) of the 3 numbers in list L is 10 3 , what is the average of the 5 numbers in list M ? Give your answer as a fraction

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(#M40151659) GRE QUESTION Inequalities Keep an EYE

Which of the following inequalities have at least one positive solution and at least one negative solution? Indicate all such inequalities.
(A) 5/3 x < x
(B) x^3 < x
(C) x - 6 < x – 7

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(#M40151658) GRE QUESTION Integers Keep an EYE

If 5^(5x)*(25) = 5^n , where n and x are integers, what is the value of n in terms of x ?
(A) 5x + 1
(B) 5x + 2
(C) 5x + 5
(D) 10x
(E) 10x + 2

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(#M40151657) GRE QUESTION How many judges appointed Keep an EYE

Of the 180 judges appointed by a certain President, 30 percent were women and 25 percent were from minority groups. If 1/9 of the women appointed were from minority groups, how many of the judges appointed were neither women nor from minority groups?
(A) 75
(B) 81
(C) 87
(D) 93
(E) 99

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(#M40151656) GRE QUESTION Integers Keep an EYE

If an integer is divisible by both 8 and 15, then the integer also must be divisible by which of the following?
(A) 16
(B) 24
(C) 32
(D) 36
(E) 45

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(#M40151655) GRE QUESTION Probability Keep an EYE

A certain experiment has three possible outcomes. The outcomes are mutually exclusive and have probabilities p, p/2 and p/4 respectively. What is the value of p ?
(A) 1/7
(B) 2/7
(C) 3/7
(D) 4/7
(E) 5/7

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(#M40151654) GRE QUESTION Triangle base Keep an EYE

In triangle ABC, the measure of angle B is 90°, the length of side AB is 4, and the length of side BC is x. If the length of hypotenuse AC is between 4 and 8, which of the following could be the value of x ? Indicate all such values.
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(F) 6

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(#M40151653) GRE QUESTION Income and Expenses Keep an EYE

Each month, a certain manufacturing company’s total expenses are equal to a fixed monthly expense plus a variable expense that is directly proportional to the number of units produced by the company during that month. If the company’s total expenses for a month in which it produces 20,000 units are $570,000, and the total expenses for a month in which it produces 25,000 units are $705,000, what is the company’s fixed monthly expense?
(A) $27,000
(B) $30,000
(C) $67,500
(D) $109,800
(E) $135,000

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(#M40151652) GRE QUESTION Work and Time Keep an EYE

Working at their respective constant rates, machine I makes 240 copies in 8 minutes and machine II makes 240 copies in 5 minutes. At these rates, how many more copies does machine II make in 4 minutes than machine I makes in 6 minutes?
(A) 10
(B) 12
(C) 15
(D) 20
(E) 24

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(#M40151651) GRE QUESTION Percentage Keep an EYE

Among the people attending a convention in Europe, 32 percent traveled from Asia and 45 percent of those who traveled from Asia are women. What percent of the people at the convention are women who traveled from Asia?

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