Home » Aptitude » Problems on H.C.F and L.C.M

What is the HCF of 8 (N 5 - N 3 + N ) and 28 (N 6 + 1)?

Correct Answer: 4 (N4 - N2 + 1)

Explanation:

Let p(N) = 8 (N5 - N3 + N)
= 4 x 2 x N (N4 - N2 + 1)
and q(N) = 28 (N6 + 1)
= 7 x 4 [( N2)3 + (1)3]
= 4 x 7 (N2 + 1) ( N4 - N2 + 1)
∴ HCF of p(N) and q (N) = 4 (N4 - N2 + 1)


← Previous Question Next Question→

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion