UdayPratapSingh wrote:
If xy+x is a prime no. as given in question then we already know that it is not multiple of any other than 1 and itself.
We don't even need any of the two statements to say that. Then why isn't the answer 'D'?
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xy+x is a prime number and is it a multiple of 3?
so, as it is a prime number, x(y+1) is a prime number
Now as 3 is a prime number, any prime number which is a multiple of 3 has to be 3.
Now x(y+1) = 3, so X cant be Zero....this is important!
A: xy = 3 and X is not 0, so Xy+ x is not a multiple of 3...............Sufficient
B: x=2 now substitute x= 2, and y as 1 we get xy+y = 3 ........a multiple of 3
x= 2, and y as 1/2 we get xy+y = 5..........NOT a multiple of 3..........Statement 2 ALONE is insufficient
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Chasing the dragon