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Ratios GRE Practice Questions


This lesson is part of a series of practice test questions for the quantitative reasoning section of the GRE revised General Test.

These are the directions for the Quantitative Comparison Questions.

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:
(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.

Example 1:
Four friends win $120,000 in lottery, and they divided the winnings in 1:2:4:5 ratio.
Quantity A: The difference between the greatest and the least share
Quantity B: $40,000
Example 2:
Yesterday, a certain school had an equal number of boys and girls. Today, 18 boys left the school, and the ratio of the number of boys to girls is now 3 to 4.
Quantity A: Number of boys in the school now
Quantity B: 72

Example 3:
In Townville, the ratio of cats to dogs is 4 to 11.
In Villageton, the ratio of cats to dogs is 3 to 8.
Quantity A: The number of cats in Townville
Quantity B: The number of cats in Villageton
Example 4:
Yesterday, a certain school, the ratio of the number of boys to girls was 1 to 3. Today, an equal number of boys to girls joined the school (and no students left)
Quantity A: Ratio of the number of boys to girls now
Quantity B: \(\frac{1}{3}\)

Example 5:
3w = 4x, 4y = 3x
Quantity A: The ratio of w to y
Quantity B: 1

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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