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Tough!!

by GmatKiss » Mon Oct 17, 2011 12:54 pm
An incomplete integer is an integer, which when divided by 3 leaves a remainder of 2 and when divided by 5 leaves a remainder of 3. What is the sum of all the even incomplete integers, which are less than 300?

A. 1264
B. 1422
C. 2,528
D. 2,844
E. 3,002
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by user123321 » Mon Oct 17, 2011 7:49 pm
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
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by shankar.ashwin » Tue Oct 18, 2011 1:02 am
I agree. Answer should be 1430
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