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Problem Solving (PS) | If x and y are positive prime numbers such that x does not equal....

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x and y are positive prime number.

Product of xy is not even, so xy is odd. Then,both x and y must be odd . Note thatx is not equal to y

I) x + y = 85.
Odd + odd = even.
CANNOT be true

II) x – y is an even integer.
Odd - odd =even.
definitely true

III) x/y is an integer.
A is a prime number if A has only 2 factors: 1 and A itself. If x/y is an integer, then x is divisible by y or y is a factor of x. x is a prime number, so this can't be true at all.
CANNOT be true

Answer is (C) - I and III
...

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