Difference between revisions of "1962 AHSME Problems/Problem 22"

(Created page with "==Problem== The number <math>121_b</math>, written in the integral base <math>b</math>, is the square of an integer, for <math> \textbf{(A)}\ b = 10,\text{ only}\qquad\textbf{(...")
 
(Problem)
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The number <math>121_b</math>, written in the integral base <math>b</math>, is the square of an integer, for  
 
The number <math>121_b</math>, written in the integral base <math>b</math>, is the square of an integer, for  
  
<math> \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 </math>
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<math> \textbf{(A)}\ b = 10,\text{ only}\qquad\textbf{(B)}\ b = 10\text{ and }b = 5,\text{ only}\qquad</math>
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<math>\textbf{(C)}\ 2\leq b\leq 10\qquad\textbf{(D)}\ b > 2\qquad\textbf{(E)}\ \text{no value of }b </math>
  
 
==Solution==
 
==Solution==
 
"Unsolved"
 
"Unsolved"

Revision as of 22:55, 9 November 2013

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

"Unsolved"