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Here is the GRE Quantitative Reasoning question paper

It is given that open parenthesis, x minus 2y, close parenthesis, times open parenthesis, x + 2y, close parenthesis, = 4

Quantity A: x squared, minus, 4 times the quantity y squared
Quantity B: 8
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.

A certain recipe requires three halves cups of sugar and makes 2 dozen cookies.
(1 dozen = 12)
Quantity A: The amount of sugar required for the same recipe to make 30 cookies
Quantity B: 2 cups
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.

A power station is located on the boundary of a square region that measures 10 miles on each side. Three substations are located inside the square region.
Quantity A: The sum of the distances from the power station to each of the substations
Quantity B: 30 miles
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.

It is given that
6 is less than x, which is less than 7,
and
y = 8
Quantity A: the fraction x over y
Quantity B: 0.85
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.


Quantity A: The standard deviation of a set of 5 different integers, each of which is between 0 and 10
Quantity B: The standard deviation of a set of 5 different integers, each of which is between 10 and 20
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.

It is given that x is greater than 1.
Quantity A: x times, the fourth power of, open parenthesis, x squared, close parenthesis
Quantity B: open parenthesis, x cubed, close parenthesis, to the third power
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.

It is given that x is not equal to 0.
Quantity A: the absolute value of x + the absolute value of negative 2
Quantity B: the absolute value of the quantity x minus 2
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.

This question has five answer choices, labeled A through E. Select the best one of the answer choices given.
The system of equations
7x + 3y = 12, and
3x + 7y = 6
is given.
If x and y satisfy the system of equations given, what is the value of x minus y?
A. two thirds
B. three halves
C. 1
D. 4
E. 6
Select and indicate the best one of the answer choices given.

This question has five answer choices, labeled A through E. Select all the answer choices that apply.
In triangle ABC, the measure of angle A is 25° and the measure of angle B is greater than 90°. Which of the following could be the measure of angle C?
Indicate all such measures.
A. 12°
B. 15°
C. 45°
D. 50°
E. 70°
Select and indicate all the answer choices that apply. The correct answer to a question of this type could consist of as few as one, or as many as all five of the answer choices.

This question has five answer choices, labeled A through E. Select the best one of the answer choices given.
What is the least integer n such that the fraction with numerator 1, and denominator 2 to the power n is less than 0.001 ?
A. 10
B. 11
C. 500
D. 501
E. There is no such least integer.
Select and indicate the best one of the answer choices given.

This question has five answer choices, labeled A through E. Select the best one of the answer choices given.
In the sunshine, an upright pole 12 feet tall is casting a shadow 8 feet long. At the same time, a nearby upright pole is casting a shadow 10 feet long. If the lengths of the shadows are proportional to the heights of the poles, what is the height, in feet, of the taller pole?
A. 10
B. 12
C. 14
D. 15
E. 18
Select and indicate the best one of the answer choices given.

This question has five answer choices, labeled A through E. Select the best one of the answer choices given.
If k is the smallest prime number greater than 21 and b is the largest prime number less than 16, then kb =
A. 299
B. 323
C. 330
D. 345
E. 351


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