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GRE GRE Test Exam Questions
Graduate Record Examination Test: Verbal, Quantitative, Analytical Writing (Page 6 )

Updated On: 9-Mar-2026
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PDF with 793 Questions

x2y - xyz < 0

x < 0 and z > 0

Quantity A
x

Quantity B
y

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

Answer(s): D

Explanation:

x2y - xyz = xy(x - z) < 0
x2 is always positive for any real x.

z > 0 is given.

x < 0 is given.

(x - z) will be negative because x is negative and z is positive, meaning x - z < 0.

Thus, the inequality xy(x - z) < 0 holds only if y makes the product negative.
For the product xy(x - z) to be negative, we analyze the term xy:
Since x < 0, the sign of xy depends on y.

If y is positive, then xy is negative, making the product positive, which contradicts the inequality.

If y is negative, then xy is positive, and the product xy(x - z) < 0 holds true.

This means y must be negative.
Quantity A (x) is negative. Quantity B (y) is also negative.
Since we do not know the specific values of x and y, we cannot determine whether x > y or x < y.



Three people are in the process of reviewing 50 grant proposals. The numbers of proposals that each has reviewed so far are 32, 28, and 25, respectively.

Quantity A
The number of proposals that have been reviewed by at least 2 reviewers

Quantity B
32

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

Answer(s): A

Explanation:

The total number of reviews (not necessarily unique proposals) so far is:
32 + 28 + 25 = 85.
Since there are only 50 proposals in total, some must have been reviewed by multiple reviewers.
Each proposal is counted once when reviewed by one person, twice when reviewed by two people, and three times when reviewed by all three. The total possible unique proposals is at most 50, and the total reviews are 85.
The number of proposals that have been reviewed more than once is found by subtracting the total number of unique proposals from the total number of reviews:
85 - 50 = 35.
So, at least 35 proposals have been reviewed by at least two reviewers.
35 (Quantity A) > 32 (Quantity B)



Car X averaged 40 miles per hour for a 100-mile trip, and car Y averaged 50 miles per hour for a 130-mile trip.

Quantity A
The time it took car X to travel the 100-mile trip

Quantity B
The time it took car Y to travel the 130-mile trip

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

Answer(s): B

Explanation:



2.6 > 2.5



a < b < c

The average (arithmetic mean) of a, b, and c is equal to the median of a, b, and c.

Quantity A



Quantity B
b

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

Answer(s): C

Explanation:

We are told that a < b < c and that the average (arithmetic mean) of a, b, and c is equal to the median of a, b, and c.
The average of a, b, and c is:



Since b is the median (the middle value), the condition given in the problem tells us that:



a + b + c = 3b a + c = 2b



Quantity A
The average (arithmetic mean) of the length and the width of a rectangle whose perimeter is 18

Quantity B

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

Answer(s): B

Explanation:

The perimeter P of a rectangle is given by the formula:
P = 2 × (length + width)
We are told that the perimeter is 18, so:
18 = 2 × (length + width)
length + width = 9
Quantity A asks for the average (arithmetic mean) of the length and the width, which is:



4.5 (Quantity A) < 5 (Quantity B)



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