Question

If $\frac{x}{y}$ can be expressed as a terminating decimal, if ' y ' has no prime factors other than

• A. 2,3
• B. 3,5
• C. 2,5
• D. 2,3,5

Answer 1

The correct option is C 2,5

$\left\{\frac{x}{y}isterminatingdecimal\right\}$
$\Rightarrow \frac{x}{y}$ have to be in the form of $\frac{x}{2^n{.5}^n}$, them only it will be terminating
for eg. take $n=0\Rightarrow x\to$ Terminating
$n=2\Rightarrow \frac{x}{y.25}=\frac{x}{100}\to$ Terminating
If we have any other no. In deceminator, then it will be x on terminating
$\therefore$ In order to be terminating, it should have no prime factors than $2\&5\therefore \left(C\right)$