Question

If $p$ and $q$ positive integers with $pq=36,$ then $\frac{p}{q}$ cannot be

• A. $\frac{1}{4}$
• B. $\frac{4}{9}$
• C. $1$
• D. $6$

Answer 1

The correct option is D $6$

Since $pq=36$ and the factors of $36$ are $1,2,3,4,6,9,12,18$ and $36$.

Let let us compute $\frac{p}{q}$ as follows:

$\frac{3}{12}=\frac{1}{4}$

$\frac{6}{6}=1$

$\frac{18}{2}=9$..and so on.

Hence, we can see that the ratio of factors $\frac{p}{q}$ cannot be $6$.