Discussion

Explanation:

Use the method of simulation, viz. take any sample values of x and verify that n is both odd as well as a perfect square.

Alternate solution:
Let x = (n – 1) n (n + 1) (n + 2)
= (n2 – 1) n(n + 2)
= n4 + 2n3 – n2 – 2n

p = x + 1 = n4 + 2n3 – n2 – 2n + 1
= (n2 – n + 1)2

Hence, option (a).​​​​

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