SAT Math Multiple Choice Practice Question 33: Answer and Explanation

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Question: 33

11. The number n satisfies the following properties:

I.It has three digits.

II.Its units digit is the sum of its tens digit and its hundreds digit.

III.It is a perfect square.

Which number could be n?

A. 156
B. 400
C. 484
D. 516
E. 729

Correct Answer: E


E. All the numbers have three digits. Only Choices (A), (D), and (E) have a units (ones) digit that equals the sum of the other two digits. And, using a calculator, you can see that the square roots of 156 and 516 are decimals, while the square root of 729 is 27, which makes it your answer.

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