SAT Math Multiple Choice Practice Question 102: Answer and Explanation

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Question: 102

14. At a certain high school, the ratio of boys to girls is 4:5. Which number could not represent the total number of students in the school?

A. 360
B. 400
C. 450
D. 540
E. 999

Correct Answer: B


B. In a ratio problem, the total number of things involved (in this case, people) must always be divisible by the sum of the ratios. Here, 4 + 5 = 9, and all the numbers except 400, are divisible by 9.

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