Question

7.
If HCF of two different numbers is 1, then
Statement 1: Both numbers are coprime
→ Statement 2: Both are prime numbers
Statement 3: One is prime and another is odd
Which of the following is always true?
(1) Only statement 1
(2) Both statements 1 and 2
(3) Only statement 2
(4)Both statements 2 and 3​

Answer 1

Answer:

Step-by-step explanation:

C is the right answer...

Which is only statement 2...

Hope it helps you.....

Answer 2

Answer:

(1) Only statement 1

Step-by-step explanation:

Here it means that both the numbers are co-prime only. The numbers are not needed to be prime numbers to have HCF = 1.

For example, take two numbers 5 and 8. Their HCF is 1. Only one number is prime and the other is not an odd number. But both are coprime numbers. So only statement 1 is true.