Consider the following statements in respect of two natural numbers p and q such that p is a prime number…
Consider the following statements in respect of two natural numbers p and q such that p is a prime number and q is a composite number:
1. p x q can be an odd number.
2. q / p can be a prime number.
3. p + q can be a prime number.
Which of the above statements are correct?
1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3
Solution
Statement 1: $p \times q$ can be odd, e.g. $3 \times 9 = 27$. Statement 2: $q/p$ can be prime, e.g. $4/2 = 2$. Statement 3: $p + q$ can be prime, e.g. $3 + 4 = 7$. All three statements are correct.