SAT Math Multiple Choice Practice Question 129: Answer and Explanation

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Question: 129

19. Let a ~ b equal:

2a, if a > b

b + 3, if b > a

5, if a = b

Which of the following would equal 14?

A. 5 ~ 7
B. 7 ~ 8
C. 7 ~ 7
D. 7 ~ 5
E. 11 ~ 7

Correct Answer: D

Explanation:

D. You know that 5~7 equals 10 because b > a, and you're told to add 3 to b when that happens. Also, 7~8 equals 11 for the same reason. Moving on, 7~7 equals 5 because a = b. And 7~5 equals 2 × 7, which is 14, because a > b. You have your answer, but checking the last one just for safety tells you that 11~7 equals 2 × 11, which is 22.

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