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1962 AHSME Problems/Problem 22

Revision as of 22:56, 10 November 2013 by Fadebekun (talk | contribs) (→‎Solution)

Problem

The number $121_b$, written in the integral base $b$, is the square of an integer, for

$\textbf{(A)}\ b = 10,\text{ only}\qquad\textbf{(B)}\ b = 10\text{ and }b = 5,\text{ only}\qquad$

$\textbf{(C)}\ 2\leq b\leq 10\qquad\textbf{(D)}\ b > 2\qquad\textbf{(E)}\ \text{no value of }b$

Solution

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