Let x and y be positive integers such that x is prime and y is composite Which of the following stat...........

Quantitative Aptitude (CDS) Algebra

Let x and y be positive integers such that x is prime and y is composite. Which of the following statements are correct?

1. (y – x) can be an even integer.

2. xy can be an even integer.

3. 0.5(x + y) can be an even integer.

Select the correct answer using the code given below :

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3

Let x=2 and y=6, then y−x=4, which is an even integer
Let x=2 and y=9, then xy=18, which is an even integer.
Let x=3 and y=9, then

0.5(x+y)=0.5(3+9)=0.5×12=6

, which is an even integer.

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