What results if the number x is rounded to the nearest hundred?

Statement 1:
multiple of 20 that is closest to x is 140.

Multiples of 20 are (...120, 140, 160......) and we know that closest one is 140. That would mean X has to be greater than 130 and less than 150 ( 130<x<150) for condition to be true.
(Note, if x is less than 130, then it would be closer to 120 not 140. Also it can not be 130 as then it would be close to both 120 and 140.. same logic for 150)

But in such case, it is sufficient to answer the question. As rounding 149 would give 100 and 130 would also give 100.
Sufficient.

Statement 2: x is within ten units of 140.
130<=x<=150
But in such case, it is insufficient to answer the question. As rounding 150 would give 200 and 130 would also give 100.
insufficient.

Ans A it is.