I am just giving a try.

a number which satisfies both conditions 3x+2,5y+3 should be of the form 15z+8
since we just need only even numbers of the above series it becomes 30z+8

so the series is 8,38,....,278
no. of terms are (270/30)+1 = 10
sum of above is (278+8)(10)/2 = 1430

so ans should be 1430

is that answer choices proper? or maybe i might have messed anywhere

user123321

I agree. Answer should be 1430