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Why don’t we consider N to be a negative integer?
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It doesn't matter whether N is +ve or -ve.

If x = 3k, then N can be 3k+3, 3k+6 and 3k+9. (As N must be smaller than 3k+12)
If x= 3k+1, then N can be 3k+3, 3k+6, 3k+9 and 3k+12. (As N must be smaller than 3k+1+12)
If x= 3k+2, then N can be 3k+3, 3k+6, 3k+9 and 3k+12. (As N must be smaller than 3k+2+12)

k can be +ve or -ve.

So if you know whether x is a multiple of 3, you can answer the question stem.


akshayrbhat
Why don’t we consider N to be a negative integer?
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