Choose the correct answer in each of the following questions:

Question:

Choose the correct answer in each of the following questions:

The sum of first 40 positive integers divisible by 6 is    

(a) 2460

(b) 3640

(c) 4920

(d) 4860

Solution:

The positive integers divisible by 6 are 6, 12, 18, ... .

This is an AP with a = 6 and d = 6.

Also, n = 40           (Given)

Using the formula, $S_{n}=\frac{n}{2}[2 a+(n-1) d]$, we get

$S_{40}=\frac{40}{2}[2 \times 6+(40-1) \times 6]$

$=20(12+234)$

$=20 \times 246$

$=4920$

Thus, the required sum is 4920.

Hence, the correct answer is option C.

 

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