# 1993 AHSME Problems

## Problem 1

For integers $a, b$ and $c$, define $\boxed{a,b,c}$ to mean $a^b-b^c+c^a$. Then $\boxed{1,-1,2}$ equals

$\text{(A)} \ -4 \qquad \text{(B)} \ -2 \qquad \text{(C)} \ 0 \qquad \text{(D)} \ 2 \qquad \text{(E)} \ 4$

## Problem 2

In $\triangle ABC$, $\angle A=55\degree$ (Error compiling LaTeX. ! Undefined control sequence.), $\angle C=75\degree$ (Error compiling LaTeX. ! Undefined control sequence.), $D$ is on side $\overbar{AB}$ (Error compiling LaTeX. ! Undefined control sequence.) and $E$ is on side $\overbar{BC}$ (Error compiling LaTeX. ! Undefined control sequence.) If $DB=BE$, then $\angle BED=$

$\text{(A)}\ 50\degree \qquad \text{(B)}\ 55\degree \qquad \text{(C)}\ 60\degree \qquad \text{(D)}\ 65\degree \qquad \text{(E)}\ 70\degree$ (Error compiling LaTeX. ! Undefined control sequence.)