Why is the answer B?

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Why do you think otherwise?

I thought the answer would be D. Could you please clarify the logic for B?

Why do you think the answer is D?

|n-1| = 62 so, n can be 63 as well as -61?
I am unable to understand the question.

Can n be 63 though? See the first line.

When n = -61, both the equations are satisfied. Thus the ans is ‘b’