Tough!!

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GmatKiss: Legendary Member; Posts: 2789; Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members; Location: Chennai, India; Thanked: 206 times; GMAT Score:640

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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Source: Beat The GMAT — Problem Solving | Mon Oct 17, 2011 12:54 pm

user123321: Master | Next Rank: 500 Posts; Posts: 385; Joined: Fri Sep 23, 2011 9:02 pmFollowed by: 6 members; Thanked: 62 times

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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shankar.ashwin: Legendary Member; Posts: 966; Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members; Thanked: 230 times

by shankar.ashwin » Tue Oct 18, 2011 1:02 am

I agree. Answer should be 1430

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