Q. The product of three consecutive natural numbers is divisible by
A) 5
B) 7
C) 6
D) 4
Explanation
(c)
Let $P(n) \equiv n(n + 1)(n + 2)$
$P(1) \equiv 1 \bullet 2 \bullet 3 = 6$
$P(2) \equiv 2 \bullet 3 \bullet 4 = 24$
Hence, it is divisible by 6.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.