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Option 1 : Only one of the statements, alone, is sufficient to answer the question but other statement is not
From the statement I: 0 * 0 = 0
If we consider ‘*’ as an addition,
0 + 0 = 0
And if we consider ‘*’ as a multiplication,
0 × 0 = 0
Hence, we cannot determine the operation used as a ‘*’.
Hence, Statement I is insufficient to answer.
From the statement II: 0 * 1 = 1
If we consider ‘*’ as an addition,
0 + 1 = 1
And if we consider ‘*’ as a multiplication,
0 × 1 = 0
Hence, here we can say that, addition is the correct operation used as a ‘*’.
Hence, only statement II is sufficient to answer the given question.
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