2015 · Q22
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.
- 2xy can be an even integer.
- 30.5(x+y) can be an even integer.
Select the correct answer using the code given below:
Elementary MathematicsProfit and Loss
- A1 and 2 only
- B2 and 3 only
- C1 and 3 only
- D1, 2 and 3
Explanation
1: y - x even is possible (x = 3, y = 9 gives 6); 2: xy even is possible (x = 2, y = 4 gives 8); 3: (x + y)/2 even is possible (x = 2, y = 6 gives 4). All three can occur. Hence option (d).