Let x and y be positive integers such that x is prime and y is composite. Then,
Explanation:
Option 1: False
∵ (y – x) is equal to an even integer when x = 2 and y = 6
Option 2: False
∵ xy is an even integer whenever x = 2 and y = 6
Option 3: False
∵ (x + y)/x is an even integer when x = 3 and y = 6, 9, 15, 21, 27… and so on. (i.e. Taking any value of x and then taking y as a multiple of that x will work.)
Hence, option (d).
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