1986 AJHSME Problems/Problem 8

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Problem

In the product shown, $\text{B}$ is a digit. The value of $\text{B}$ is

\[\begin{tabular}[t]{r}
\text{B}2 \\
\times 7\text{B} \\ \hline
6396 \\
\end{tabular}\] (Error compiling LaTeX. ! Missing $ inserted.)

$\text{(A)}\ 3 \qquad \text{(B)}\ 5 \qquad \text{(C)}\ 6 \qquad \text{(D)}\ 7 \qquad \text{(E)}\ 8$

Solution

Note that in any multiplication problem, the only 2 digits that will influence the last digit of the number will be the last digits of each number being multiplied.

So, $2 \times B = 6$, $B = 3$

See Also

1986 AJHSME Problems

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