1952 AHSME Problems/Problem 42

Problem

Let $D$ represent a repeating decimal. If $P$ denotes the $r$ figures of $D$ which do not repeat themselves, and $Q$ denotes the $s$ figures of $D$ which do repeat themselves, then the incorrect expression is:

$\text{(A) } D = .PQQQ\ldots \qquad\\ \text{(B) } 10^rD = P.QQQ\ldots \\ \text{(C) } 10^{r + s}D = PQ.QQQ\ldots \qquad\\ \text{(D) } 10^r(10^s - 1)D = Q(P - 1) \\ \text{(E) } 10^r\cdot10^{2s}D = PQQ.QQQ\ldots$

Solution

$\fbox{D}$

1952 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 41	Followed by Problem 43
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1952 AHSME Problems/Problem 42

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