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krishna239455
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Statement I - Product of any two numbers is 0
Let us take a list of 3 numbers where the numbers are 0, 1 and 0. (The question does not say that all the numbers are distinct)
So, the product of any two numbers in this case will be 0 but all the numbers in the set are not 0.
Hence, this statement is insufficient.
Statement II- Sum of any two numbers in the set is 0
This can only happen if all the numbers in the set are 0.
Hence statement II is sufficient.
Hope this is correct!












