Question

If $\frac{12}{q}$ is a terminating decimal number, then which of the following is a possible value of q?

• A. 7
• B. 9
• C. 15
• D. 21

Answer 1

The correct option is C 15

$\frac{12}{7}\to$ denominator = 7
$\frac{12}{9}=\frac{4}{3}\to$ denominator = 3
$\frac{12}{15}=\frac{4}{5}\to$ denominator = 5 (of the form $2^m\times 5^n)$
$\frac{12}{21}=\frac{4}{7}\to$ denominator = 7
Thus, among the given options, the only possible value of q that satisfies the given condition is 15.