2016 · Q24
There are two numbers p and such that their HCF is 1. Which of the following statements are correct ?
- 1Both p and q may be prime.
- 2One number may be prime and the other composite.
- 3Both the numbers may be composite.
Select the correct answer using the code given below:
Elementary MathematicsHCF and LCM
- A1 and 2 only
- B2 and 3 only
- C1 and 3 only
- D1, 2 and 3
Explanation
HCF 1 only rules out shared prime factors. Both prime (e.g. 2,3), one prime and one composite (e.g. 2,9), and both composite (e.g. 4,9) are all possible. So all three statements hold (option D).