Question

The sum of numbers between 100 and 500, which are divisible by 6, is:

• A. 67
• B. 498
• C. 2010
• D. 20100

Answer 1

The correct option is D

20100

Numbers divisible by 6 between 100 and 500

$S_n$ = 102 + 108 + 114 + .......+ 498.

If there are n terms in $s_n$, then

498 = 102 + (n - 1). 6 ⇒ n = 67.

∴ $S_n$ = $\frac{1}{2}$ (67)(102 + 498) = 20100.