reminder of remainder

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Tue Nov 10, 2009 1:31 am

How many 3 digit positive integers exist that when divided by 7 leave a remainder of 5?
A. 128
B. 142
C. 143
D. 141
E. 129

The mind is everything. What you think you become. -Lord Buddha

Sanjeev K Saxena
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The Princeton Review - Manya Abroad
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Source: Beat The GMAT — Problem Solving | Tue Nov 10, 2009 1:31 am

papgust: Community Manager; Posts: 1537; Joined: Mon Aug 10, 2009 6:10 pmFollowed by: 252 members; Thanked: 653 times

by papgust » Tue Nov 10, 2009 2:32 am

Possible integers range from 103 to 999.
First term=103, Last Term=999, Difference=7

999=103+(n-1)*7
n=129 (Answer)

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