SAT Math Multiple Choice Practice Question 37: Answer and Explanation

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Question: 37

15. If a > 0, which of the following statements must be true?

A. a2 > a
B. a > 1/a
D. 2a > a
E. 1/a < 1

Correct Answer: D


D. A lot of these answers look true. However, if you let a equal 1, or a number less than 1, you realize that most of them become false. This question is an old SAT trap; numbers between zero and one (such as fractions) behave in funny ways. The only statement that is true for all positive numbers is Choice (D): Twice any positive number must be bigger than the original number.

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