There are two numbers P and q such that their HCF is 1 Which of the following statements are correct...........

Quantitative Aptitude (CDS) LCM, HCF

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There are two numbers P and q such that their HCF is 1. Which of the following statements are correct?

1. Both p and q may be prime.

2. One number may be prime and the other composite.

3. Both the numbers may be composite.

Select the correct answer using the code given below :

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3

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Explanation:

Statement 1:
If we take two prime numbers viz 2 and 3 then HCF be 1
Statement 2:
If 7 and 25 be the prime and composite numbers respectively
Then the HCF of 7 and 25 be 1
Statement 3:
If 25 and 16 be the two composite numbers
Then their HCF be also 1
Hence all the three statements are correct.
Hence option (4)