Question

If $p,q$ be two prime numbers such that $p+q=31$, then the possible value(s) of $3p+q$ is/are

• A. $89$
• B. $35$
• C. $95$
• D. $29$

Answer 1

Answer: (A), (B)

The correct options are
A $89$
B $35$

Sum of two digits is odd
$\Rightarrow$ One of them should be odd and one should be even.
Let $p$ be even
$\therefore p=2$ then $q=29$
or $q=2$ then $p=29$
$\therefore 3p+q=35$ or $89$