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Aptitude · Q562

Number System

Competitive Exams · Aptitude · question 562

Q562

If n is a whole number greater than 1, then n2 (n2 - 1) is always divisible by :

A.
8
B.
10
C.
12
Answer
D.
16

Answer: Option C

Solution

Answer: Option C
Solution:
Let N = n2 (n2 - 1) = n2 (n - 1) (n + 1)
Then, n = 2
⇒ N = 22 × (2 - 1) (2 + 1)
        = (4 × 1 × 3) = 12
Hence, the required number is 12