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5th September 2015, 10:57 AM
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Join Date: Mar 2013
Re: Practice GRE Math

Ok, as you want the practice sample question papers of Maths of Graduate Record Examination (GRE) exam for preparation so here I am providing you.

GRE Maths Quantitative Comparison question paper

Question

1, 2, -3, -4, 1, 2, -3, -4... The sequence above begins with 1 and repeats in the pattern 1, 2, -3, -4 indefinitely.

Column A Column B

The sum of the 49th and 51st terms The sum of the 50th and 52nd terms.
(A) (B) (C) (D)

Answer and Explanations C

This is a sequence consisting of a cycle of 4 numbers that repeats forever. The first term is 1, the second term is 2, the third term is -3, and the fourth term is -4. When it repeats the first time, the fifth term is 1, the sixth term is 2, the seventh term is -3, and the eighth term is -4. It will repeat again, and the ninth term will be 1, the tenth term will be 2, the eleventh term will be -3, and the twelfth term will be -4. Notice that the number -4 is so far the fourth, eighth, and twelfth term. Since it is the fourth term in a repeating cycle of 4 numbers, its position will always be a multiple of 4. So -4 will be the fourth, eighth, twelfth, sixteenth, twentieth, etc., terms in the sequence. This means that -4 will be the 48th term in the sequence, since 48 is a multiple of 4. If -4 is the 48th term, then the 49th term is 1, the 50th term is 2, the 51st term is -3, and the 52nd term is -4. So the sum of the 49th and 51st terms is the sum of 1 and -3, or 1-3, or -2. The sum of the 50th and 52nd terms is the sum of 2 and -4, or 2-4, or -2, so the 2 columns are the same, and the correct answer is C.

Question

If the integer a is a multiple of 6, the integer b is a multiple of 3, and a>b>0, then which of the following integers must be a2 – b2 multiple of?

A. 6
B. 8
C. 9
D. 10
E. 12

Answers and Explanations

C

We can use the strategy of Picking Numbers to solve this question. With the method of Picking Numbers, all 4 incorrect answer choices must be eliminated because sometimes one or more incorrect answer choices will work for the particular values that we select. Let's let a = 6 and b = 3. Then a2 – b2 = 62 – 32 = 36 – 9 = 27. Looking at the answer choices, 27 is not a multiple of 6, 8, 10, or 12, which are the numbers in answer choices (A), (B), (D), and (E), respectively. So choices (A), (B), (D), and (E) can be eliminated. Now that all 4 incorrect answer choices have been eliminated, we know that choice (C) must be correct. Just to check, we see that 27 is a multiple of 9, which is to be expected since we have concluded that choice (C) must be correct. A. 6 B. 8 C. 9 D. 10 E. 12

Question

If a sweater sells for $48 after a 25 percent markdown, what was its original price?

A. $56
B. $60
C. $64
D. $68
E. $72

Answers and Explanations
C

We want to solve for the original price, the Whole. The percent markdown is 25%, so $48 is 75% of the whole: Percent x Whole = Part. 75% x Original Price = $48 Original Price = $48/0.75 = $64

For more questions here I am attaching a pdf file

GRE Maths Quantitative Comparison question paper




Attached Files
File Type: pdf GRE Maths Quantitative Comparison question paper.pdf (515.8 KB, 76 views)


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