How many integers in the set of all integers from 1 to 100, inclusive, are not the square of an integer?

(A) 19
(B) 50
(C) 81
(D) 89
(E) 90

Show/Hide Answer


Choice E
Level of Difficulty E M H

This question is quite straightforward. Start from the number one and begin squaring each number. By the time you get to 10 you must stop, because 10 squared equals 100. Therefore, there are 10 numbers between 1 and 100 inclusive that are the square of another number, which leaves 90 that are not, or choice E.

Some properties of integers can be seen at Integer Properties Example Video.

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