# 1988 AJHSME Problems/Problem 1

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## Problem

The diagram shows part of a scale of a measuring device. The arrow indicates an approximate reading of $[asy] draw((-3,0)..(0,3)..(3,0)); draw((-3.5,0)--(-2.5,0)); draw((0,2.5)--(0,3.5)); draw((2.5,0)--(3.5,0)); draw((1.8,1.8)--(2.5,2.5)); draw((-1.8,1.8)--(-2.5,2.5)); draw((0,0)--3*dir(120),EndArrow); label("10",(-2.6,0),E); label("11",(2.6,0),W); [/asy]$ $\text{(A)}\ 10.05 \qquad \text{(B)}\ 10.15 \qquad \text{(C)}\ 10.25 \qquad \text{(D)}\ 10.3 \qquad \text{(E)}\ 10.6$

## Solution

Clearly the arrow marks a value between $10.25$ and $10.5$, so only $\text{C}$ and $\text{D}$ are possible.

Looking, we see that the arrow is closer to $10.3$, so $\boxed{\text{D}}$

Each part of the semicircle is one fourth of it, so we see that the answer is between $10.25$ and $10.5$. THe arrow is pointing a little in front of The middle of $10.25$ and $10.5$.Therefore, we have that $\boxed{\text{D}}$ is our answer --- stjwyl

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