SAT Math Multiple Choice Practice Question 247: Answer and Explanation

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Question: 247

5. If m and n are integers and , what is the value of ?

A. 4
B. 8
C. 12
D. 16
E. 32

Correct Answer: C

Explanation:

C It helps to know the perfect squares and the perfect cubes. The first seven perfect squares greater than 1 are 4, 9, 16, 25, 36, 49, and 64. The first three perfect cubes are 8, 27, and 64. Clearly, the only integer between 1 and 100 that is both a perfect cube and a perfect square is . Therefore and , so .

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