1967 AHSME Problems/Problem 36

Problem

Given a geometric progression of five terms, each a positive integer less than $100$ . The sum of the five terms is $211$ . If $S$ is the sum of those terms in the progression which are squares of integers, then $S$ is:

$\textbf{(A)}\ 0\qquad \textbf{(B)}\ 91\qquad \textbf{(C)}\ 133\qquad \textbf{(D)}\ 195\qquad \textbf{(E)}\ 211$

Solution

$\fbox{C}$

1967 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 35	Followed by Problem 37
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1967 AHSME Problems/Problem 36

Problem

Solution

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