2005 AMC 8 Problems/Problem 6

Problem

Suppose $d$ is a digit. For how many values of $d$ is $2.00d5 > 2.005$ ?

$\textbf{(A)}\ 0\qquad\textbf{(B)}\ 4\qquad\textbf{(C)}\ 5\qquad\textbf{(D)}\ 6\qquad\textbf{(E)}\ 10$

Solution

We see that $2.0055$ works but $2.0045$ does not. The digit $d$ can be from $5$ through $9$ , which is $\boxed{\textbf{(C)}\ 5}$ values.

2005 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 5	Followed by Problem 7
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All AJHSME/AMC 8 Problems and Solutions

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2005 AMC 8 Problems/Problem 6

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