The sum of all the even positive integers less than 200 which are not divisible by 6 is (1)6536, (2) 6539 (3) 6534 (4)6539

Explanation

Sum of even positive integers less than 200=>2+4+6+8......198.

198 is the`99^(th)` term of the series.

sum of the series=>`99/2(4+98xx2)=9900`.....(1)

series of multiples of 6 till 200=>`6+12....198`

198 is `33^(th)` term.

sum of the series=>`33/2(12+32xx6)=3366`......(2)

required sum=(1)-(2)=`6534.`