Question

The largest number which always divides the sum of any pair of consecutive odd numbers is:

• A. $2$
• B. $4$
• C. $6$
• D. $8$

Answer 1

The correct option is B $4$

$1+3=4,\frac{4}{4}=1$
$3+5=8,\frac{8}{4}=2$
$5+7=12,\frac{12}{4}=3$ and so on..
Here, $6,8$ would be invalid because they don't always divide the sum of consecutive odd numbers.

Thus, $4$ is the largest number which always divide the sum of any pair of consecutive odd numbers.