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

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : 1, 2 and 3

HCF of p and q is 1

1. Both p and q may be prime

Suppose p = 2 and q = 3

⇒ HCF of p and q = 1

⇒ Statement 1 is correct

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

Suppose p = 3 and q = 4

⇒ HCF of p and q = 1

⇒ Statement 2 is correct

3. Both the numbers may be composite

Suppose p = 9 and q = 10

⇒ HCF of p and q = 1

⇒ Statement 3 is correct.

∴ All three statements are correct.

5 views Answered 2022-09-04 04:29

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