The sum of those integers from 1 to 500 which are multiples of 2 as well as of 5 is

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12750

12250

12000

12500

answer is A.

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Detailed Solution

Given the AP series is the integers from 1 and 500 which are multiples of 2 as well as 5.
So, the series of numbers will be; 10,20,30.....500.
Putting a = 10, d = 10 and

a n

= 500 .

500 = 10 + n − 1 10 n − 1 10 = 490 n − 1 = 49 n = 50

Putting n = 50 in

S n = n 2 2 a + n − 1 d

S 50 = 502 210 + 50 − 1 10 S 50 = 502 20 + 490 S 50 = 25 × 510 S 50 = 12750

So, the sum of those integers is 12750.
Therefore, the correct option is 1.

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