Question

The alternate numbers are always co-prime numbers.

• A. True
• B. False

Answer 1

The correct option is B

False

According to the concept of co-prime numbers, two numbers have to be consecutive numbers but not alternate numbers for being co-prime. Alternate numbers are either odd numbers or even numbers and hence will have a common factor greater than one. The HCF of co-prime numbers is always 1, as there is nothing common apart from 1. Consider any consecutive numbers like 4, 5 or 10, 11. The number which is common between all these pairs is 1. So our statement is false. The correct one is that the consecutive numbers are always co-prime numbers.