Question

The LCM of two prime numbers$p$ and $q(p>q)$is $221$.

Find the value of $3p-q.$

• A. $4$
• B. $28$
• C. $38$
• D. $48$

Answer 1

The correct option is C

$38$

As we know that

$$\begin{gathered} LCMoftwoprimenumbers=productofthenumbers \\ 221=13\times 17 \\ Sop=17,q=13 \\ 3p-q=3\times 17–13 \\ =38 \end{gathered}$$

Hence, option C is the answer.