Question

State whether the following statement is True or False

The sum of two consecutive odd numbers is always divisible by $4$.

• A. True
• B. False

Answer 1

The correct option is A True

Checking the sum of two consecutive odd numbers is divisible by $4$ or not:

Odd Number: A number that is not divisible by 2 and leaves 1 as the remainder is called an odd number.

Lets take any two consecutive odd numbers $\text{5}$ and $7$

Sum of $\text{5}$ and $7$ is $5+7=12$ which is divisible by $4$

Lets take another two consecutive odd numbers $17$ and $19$

Sum of $17$ and $19$ is $17+19=36$ which is also divisible by $4$

Hence, the sum of two consecutive odd numbers is always divisible by $4$

Hence, the given statement is True.