Question

The sum of three consecutive odd numbers is always divisible by: A. 2 B. 3 C. 5 D. 6 Choose the correct answer from the options given below:

Accepted Answer

D. Let the numbers be $2n+1, 2n+3, 2n+5$. Sum = $6n + 9 = 3(2n + 3)$, which is always a multiple of 3. Since $2n+3$ is odd, the sum is always odd, so it is not divisible by 2 or 6.

Divisibility of Sum of Consecutive Odd Numbers

Explanation

Practise this under exam conditions