2019 · Q24
Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:
- 1Both p and q may be prime numbers.
- 2Both p and q may be composite numbers.
- 3One of p and q may be prime and the other composite.
Which of the above statements are correct?
Elementary MathematicsNumber System
- A1 and 2 only
- B2 and 3 only
- C1 and 3 only
- D1, 2 and 3
Explanation
All three can happen: (2, 3) are both prime, (4, 9) are both composite, and (2, 9) is mixed — each pair is relatively prime. So statements 1, 2 and 3 are all correct.