GRE Practice Tests

GRE Problem Solving (Multiple Answer) Practice Test 1

Student working through a multi-step GRE Problem Solving math question on a practice test.
Written by Farrukh Mehmood

If x is an integer such that 10 < x^2 < 50, which of the following could be values of x? Indicate **all** such values.

Please select 3 correct answers

Consider both positive and negative integers whose squares fall between 10 and 50.
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Correct! Wrong!

Select all possible integer values for x.

Which of the following numbers are prime? Indicate **all** such values.

Please select 3 correct answers

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
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Correct! Wrong!

Select all prime numbers from the list.

If y = |x - 3|, which of the following could be the value of y if x is an integer? Indicate **all** such values.

Please select 3 correct answers

The absolute value of a number is its distance from zero, so it's always non-negative. Test integer values for x.
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Correct! Wrong!

Select all possible values for y.

The lengths of two sides of a triangle are 4 and 7. Which of the following could be the length of the third side? Indicate **all** such values.

Please select 2 correct answers

Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Also, the difference between any two sides must be less than the third side.
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Correct! Wrong!

Select all possible lengths for the third side.

If ab = 0 and a eq 0, which of the following statements must be true? Indicate **all** such statements.

Please select 3 correct answers

If the product of two numbers is zero, at least one of them must be zero.
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Correct! Wrong!

Select all statements that must be true.

Which of the following fractions are greater than 1/2? Indicate **all** such values.

Please select 2 correct answers

Convert fractions to decimals or find a common denominator for comparison.
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Correct! Wrong!

Select all fractions greater than 0.5.

If k is a positive integer, which of the following expressions must be even? Indicate **all** such expressions.

Please select 3 correct answers

Consider cases where k is even and where k is odd.
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Correct! Wrong!

Select all expressions that are always even.

A set S consists of the integers {2, 5, 8, x, 12}. If the median of the set S is 8, which of the following could be the value of x? Indicate **all** such values.

Please select 3 correct answers

For the median to be 8, when the numbers are arranged in order, 8 must be the middle number. Consider where x could fit.
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Correct! Wrong!

Select all possible values for x.

If x and y are positive integers and x/y = 0.4, which of the following could be the value of y? Indicate **all** such values.

Please select 3 correct answers

0.4 can be written as 2/5. So x/y = 2/5. This means y must be a multiple of 5 (after simplification).
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Correct! Wrong!

Select all possible values for y.

Which of the following are factors of 120? Indicate **all** such values.

Please select 3 correct answers

Check each number to see if it divides 120 evenly.
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Correct! Wrong!

Select all numbers that divide 120 without a remainder.

GRE Problem Solving (Multiple Answers) Practice Quiz 1
Multiple Choice Master!
You excel at identifying all correct possibilities!
Keen Eye!
Good job spotting those multiple answers. Keep practicing attention to detail.
Selection Scrutiny Needed!
Review each option carefully in multiple-answer questions.

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Master “Select All That Apply” with Our GRE Problem Solving Practice Test!

GRE Problem Solving questions that require you to “select one or more answer choices” can be particularly tricky, as they demand thoroughness and a clear understanding of all possible solutions. Our GRE Problem Solving multiple answer practice test is specifically designed to help you conquer this challenging format. This free GRE quant practice quiz provides a variety of GRE math questions where you must identify every correct option from the given list.

This select all that apply GRE math practice test will sharpen your ability to evaluate each choice independently and avoid common pitfalls, like stopping after finding just one correct answer. These GRE quant multiple choice questions often involve number properties, inequalities, and scenarios where multiple conditions can be met. Using this GRE practice test regularly will improve your attention to detail and your systematic approach to problems with multiple potential answers.

Make this Problem Solving (Multiple Answers) practice test a key component of your GRE exam preparation. It’s crucial to practice this specific question type to build confidence and accuracy. Learn to think comprehensively and ensure you don’t miss any valid solutions. Start practicing today to master these multi-select quantitative problems and boost your GRE score!

Important Links:
Sample Mini GRE Mock Test (2025 Format)
The Complete GRE General Test Guide (2025)
GRE Offcial Website

About the author

Farrukh Mehmood

An expert in standardized testing, Farrukh Mehmood brings over 6 years of valuable teaching experience. His expertise spans the GRE, GMAT, and SATs, providing students with the insights and strategies needed to excel on these crucial exams.