2005 AMC 8 Problems/Problem 6

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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.

See Also

2005 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 7
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All AJHSME/AMC 8 Problems and Solutions

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