GRE Practice Tests

GRE Problem Solving (Multiple Answer) Practice Test 2

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

If x is an integer and x^2 - 4 = 0, which of the following could be values of x? Indicate **all** such values.

Please select 2 correct answers

Solve the equation x^2 = 4. Remember that x can be positive or negative.
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Select all possible integer values for x.

Which of the following numbers are multiples of 3? Indicate **all** such values.

Please select 3 correct answers

A number is divisible by 3 if the sum of its digits is divisible by 3.
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Select all numbers divisible by 3.

If x > y and xy < 0, which of the following statements must be true? Indicate **all** such statements.

Please select 2 correct answers

If xy < 0, one number is positive and the other is negative. If x > y, which one must be positive?
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Select all statements that must be true.

A list of numbers has an average (arithmetic mean) of 10. If each number in the list is increased by 5, which of the following statements about the new list are true? Indicate **all** such statements.

Please select 3 correct answers

How does adding a constant to each term affect the mean, median, and range?
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Select all true statements about the new list.

If n is a prime number greater than 2, which of the following must be true about n? Indicate **all** such statements.

Please select 3 correct answers

Prime numbers greater than 2 are all odd.
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Select all statements that must be true for a prime number n > 2.

Which of the following expressions are equivalent to 2(x+y) - (x-y)? Indicate **all** such expressions.

Please select 2 correct answers

Distribute and combine like terms: 2x + 2y - x + y.
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Select all equivalent expressions.

If 0 < x < y < 1, which of the following must be true? Indicate **all** such statements.

Please select 3 correct answers

Test values like x=0.2, y=0.5. Consider squares, reciprocals, and products.
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Select all statements that must be true.

The set A = {1, 2, 3, 4, 5}. The set B = {4, 5, 6, 7, 8}. Which of the following numbers are in the union of A and B (A u B)? Indicate **all** such values.

Please select 4 correct answers

The union includes all unique elements from both sets.
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Select all numbers present in either set A or set B or both.

If an integer is divisible by both 6 and 8, then the integer must also be divisible by which of the following? Indicate **all** such values.

Please select 4 correct answers

If an integer is divisible by 6 and 8, it must be divisible by their Least Common Multiple (LCM). LCM(6,8) = 24. Consider factors of 24.
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Select all numbers that must be divisors.

Which of the following inequalities are true? Indicate **all** such values.

Please select 3 correct answers

Evaluate each inequality separately.
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Select all true inequalities.

GRE Problem Solving (Multiple Answers) Practice Quiz 2
All-Star Selector!
You have a great eye for identifying all correct options!
Choice Champion!
Good work selecting multiple correct answers. Keep practicing thoroughness.
Option Investigator!
Remember to evaluate every option carefully in these question types.

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About the author

Ambreena

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