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0*2 = 2 is sufficient to know its addition
2*0 = 2 is insuffiicient to know whether its addition or subtraction

But, Thinking again after reading the answer choices, it probably doesnt matter whether its addition or subtraction if I have to find just 1*0... they both will yield the same result anyway.

St1:
If 0*2 = 2, then it must be +. So we can solve 1*0. Sufficient.

St2:
If 2*0 = 2, then * can be + or -. But no matter the sign, 1*0 will be 1. Sufficient.

Ans D

The answer is D because the question asks this: what is the value of 1*0? It is not asking what operation * denotes, so as long as you can get one value of 1*0, the statement is sufficient.