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Question

Let x and y be positive integers such that x is prime and y is composite. Then,

A
y - x cannot be an even integer
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B
x+yx can not be an even integer
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C
(x+y) cannot be even.
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D
None of the above statements are true
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Solution

The correct option is D None of the above statements are true
Plugging in
(a) y = 10, x = 2
= 10-2 = 8

(b)x+yx=1+yx
y = 9, x = 3
1+93=1+3=4

(c) (x+y) = 10+2 = 12

(d) None of above is true.

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