Drill bit

Bill's 3/8 inch drill bit is missing and is needed for a job. He can get by with drilling a smaller hole than 3/8 inch as long as it is as close to 3/8 inch as possible. Which of the following bits would be the best to use?

A. 13/32 inch
B. 23/64 inch
C. 1/2 inch
D. 5/16 inch

Correct answer:

x = B

Step-by-step explanation:

$$\begin{gathered} d=3/8=\frac{3}{8}=0.375\text{in} \\ A=|d-13/32|=|0.375-13/32|=\frac{1}{32}\doteq 0.0313\text{in} \\ B=|d-23/64|=|0.375-23/64|=\frac{1}{64}\doteq 0.0156\text{in} \\ C=|d-1/2|=|0.375-1/2|=\frac{1}{8}=0.125\text{in} \\ D=|d-5/16|=|0.375-5/16|=\frac{1}{16}=0.0625\text{in} \\ B<A<D<C \\ B=23/64inch \\ x=B \end{gathered}$$

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