1986 AJHSME Problems/Problem 11

Problem

If $\text{A}*\text{B}$ means $\frac{\text{A}+\text{B}}{2}$ , then $(3*5)*8$ is

$\text{(A)}\ 6 \qquad \text{(B)}\ 8 \qquad \text{(C)}\ 12 \qquad \text{(D)}\ 16\qquad \text{(E)}\ 30$

We just plug in and evaluate: $\begin{align*} (3*5)*8 &= \left( \frac{3+5}{2}\right) *8 \\ &= 4*8 \\ &= \frac{4+8}{2} \\ &= 6 \\ \end{align*}$

$\boxed{\text{A}}$

1986 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 10	Followed by Problem 12
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