If \(x\) and \(y\) are positive integers, then what is the value of \((-1)^x+(-1)^y+(-1)^x*(-1)^y?\)

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If \(x\) and \(y\) are positive integers, then what is the value of \((-1)^x+(-1)^y+(-1)^x*(-1)^y?\)

1. \(x\) does not have a prime factor greater than \(1\)

2. \(y\) is a common factor of all prime numbers between \(101\) to \(202\)

The OA is D
Source: — Data Sufficiency |