Sarah multiplied an integer by itself. Which of the following could be the result?
(A) 32
(B) 33
(C) 34
(D) 35
(E) 36
Since $5 \times 5=25$ and each of the given answers is greater than 25 , then the integer that Sarah multiplied by itself must have been greater than 5 .

Further, $6 \times 6=36$ and each of the given answers is less than or equal to 36 .

Thus, of the given answers, only 36 could be the result of multiplying an integer by itself.

Alternatively, we may have noted that the result of multiplying an integer by itself is a perfect square, and of the answers given, 36 is the only perfect square.

ANSWER: (E)