Q. $10^{n} + 3\left( 4^{n + 2} \right) + 5$ is divisible by $(n \in N)$
A) 7
B) 5
C) 9
D) 17
Explanation
(c)
On putting $n = 2$ in $10^{n} + 3\left( 4^{n + 2} \right) + 5$, we get
$10^{2} + 3 \times 4^{4} + 5 = 100 + 768 + 5 = 873$
Which is divisible by 9
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.