Question

If the product $\left(4864\right)\times \left(9P2\right)$ is divisible by $12$, then the value of $P$ is:

• A. $2$
• B. $5$
• C. $6$
• D. $8$
• E. None of these

Answer 1

Answer: (E)

None of these

Clearly, $4864$ is divisible by $4$.
So, $9P2$ must be divisible by $3$. So, $(9+P+2)$ must be divisible by $3$.
$\therefore$ $P=1$