Question

Assertion (A): If HCF of two numbers is 1, then numbers are called co-prime. Reason(R): 2 is the least prime number. A is true but Ris false. Both A and Rare true and R is the correct explanation of A. A is false but Ris true. Both A and Rare true but Ris not correct explanation of A.​

Answer 1

Co Prime Numbers: Two numbers are said to be co-prime numbers only if their common divisor is 1 or highest common factor(HCF) is 1.

⇒ Prime Numbers : Prime number is a natural number which is only divisible by itself and it cannot be made by multiplying any other numbers.

⇒ If two numbers are co-prime that is not necessary that one of them must be a prime number.

For example, 4 and 9 are co-prime numbers but none of them are prime numbers.

∴ The given statement is false.

Answer 2

Answer:

The given statement is not correct as consider the numbers 8 and 9 they are co-prime as HCF of them is 1 but neither of them are prime.