GRE Quantitative Reasoning Questions, 100 Quantitance Comparison Questions (Set 9)

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Selected Set: 9

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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:

Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.

A symbol that appears more than once in a question has the same meaning throughout the question.

Answer Sheet of Set 9

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1 2 3 4 5 6 7 8 9 10

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For any positive integer n, π(n) represents the number of factors of n, inclusive of 1 and itself. a and b are prime numbers

Quantity A	Quantity B

πA + πB	π(a × b)

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.


wAn off-season discount of 10% is being offered at a store for any purchase with list price above $500. No other discounts are offered at the store. John purchased a computer from the store for $459.

Quantity A	Quantity B

The list price (in dollars) of the computer that John purchased	500

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.


A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has.

Quantity A	Quantity B

A solution of 1 liter of spirit and 1 liter of water costs x dollars.	A solution of 1 liter of spirit and 2 liters of water costs y dollars.

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.


The positive integers m and n leave a remainder of 2 and 3, respectively, when divided by 6.m > n.

Quantity A	Quantity B

The remainder when m + n is divided by 6	The remainder when m – n is divided by 6

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.


p and q are two positive integers and p/q = 7.15

Quantity A	Quantity B

q	15

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.




Quantity A	Quantity B

a	43

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.


On Friday 120 people purchased lottery tickets. 34 more women than men purchased tickets.

Quantity A	Quantity B

The number of tickets, purchased by women	The number of tickets, purchased by men

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.


George scored higher on his science midterm than Mark did.

Quantity A	Quantity B

George’s score on the test	Three times Mark’s score on the test

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.


The area of square region R is 64

Quantity A	Quantity B

32	The perimeter of R

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.

10.




Quantity A	Quantity B

15% of 30	√ 28

	Quantity A is greater.
	Quantity B is greater.
	The two quantities are equal.
	The relationship cannot be determined without further information.