GRE Graduate Record Exam Sample Test

Try 5 free practice questions with instant feedback. See how ready you are.

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Sample Questions

Question 1

What is the definition of a prime number, and is 1 prime?

Answer: A prime number has exactly two distinct positive factors: 1 and itself. The number 1 is NOT prime because it has only one factor.

Question 2

What is the result when any integer is multiplied by zero?

Answer: The result is always zero. This holds for all integers, including negatives and zero itself.

Question 3

What are the rules for the sign of a product when multiplying two integers with different signs?

Answer: A positive times a negative (or negative times a positive) always yields a negative product.

Question 4

What is the Least Common Multiple (LCM) of 12 and 18?

Answer: The LCM of 12 and 18 is 36. It is found by identifying the smallest number divisible by both 12 and 18.

Question 5

What is the Greatest Common Factor (GCF) of 36 and 48?

Answer: The GCF of 36 and 48 is 12. It is the largest integer that divides both numbers without a remainder.