Consider the following in respect of prime number p and composite number c.
1. p+c/p-c can be even.
2. 2p + c can be odd.
3. pc can be odd.
Which of the statements given above are correct?
A
1 and 2 only
B
2 and 3 only
C
1 and 3 only
D
1, 2 and 3
Correct Answer: Option D
Explanation
We use the 'Existence Proof' method by testing specific numbers. The key is to remember that Composite numbers can be Odd (e.g., 9, 15).
1. **Check Statement 3 ($pc$ can be odd):**
For a product to be odd, both numbers