1958 AHSME Problems/Problem 1

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Problem

The value of $[2 \minus{} 3(2 \minus{} 3)^{\minus{}1}]^{\minus{}1}$ (Error compiling LaTeX. Unknown error_msg) is:

$\textbf{(A)}\ 5\qquad \textbf{(B)}\ \minus{}5\qquad \textbf{(C)}\ \frac{1}{5}\qquad \textbf{(D)}\ \minus{}\frac{1}{5}\qquad \textbf{(E)}\ \frac{5}{3}$ (Error compiling LaTeX. Unknown error_msg)

Solution

$\frac{1}{2\minus{}3(\minus{}1)}=\frac{1}{5}$ (Error compiling LaTeX. Unknown error_msg), so the answer is $\boxed{\text{C}}$.

See also

1958 AHSME (ProblemsAnswer KeyResources)
Preceded by
First question
Followed by
Problem 2
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All AHSME Problems and Solutions