MathDB
1987 AJHSME Problem 19

Source:

June 25, 2011

Problem Statement

A calculator has a squaring key x2\boxed{x^2} which replaces the current number displayed with its square. For example, if the display is 000003\boxed{000003} and the x2\boxed{x^2} key is depressed, then the display becomes 000009\boxed{000009}. If the display reads 000002\boxed{000002}, how many times must you depress the x2\boxed{x^2} key to produce a displayed number greater than 500500?
(A) 4(B) 5(C) 8(D) 9(E) 250\text{(A)}\ 4 \qquad \text{(B)}\ 5 \qquad \text{(C)}\ 8 \qquad \text{(D)}\ 9 \qquad \text{(E)}\ 250
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