Problem Solving

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RiyaR: Senior | Next Rank: 100 Posts; Posts: 98; Joined: Sat May 31, 2014 8:29 pmFollowed by: 2 members; Thanked: 1 times

by RiyaR » Sun Oct 05, 2014 3:53 am

How many integers are there less than 10,000 in which the sum of the digits is equal to 5?

A)31
B) 51
C) 56
D) 62
E) 93

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Source: Beat The GMAT — Problem Solving | Sun Oct 05, 2014 3:53 am

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Sun Oct 05, 2014 4:03 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Sun Oct 05, 2014 7:01 am

RiyaR wrote:How many integers are there less than 10,000 in which the sum of the digits is equal to 5?

A)31
B) 51
C) 56
D) 62
E) 93

I'd say that this question is either beyond the scope of the GMAT, or somewhere in the 750+ range.
Here's my solution:

We can extend this solution and conclude that the number of integers less than 1,000,000 in which the sum of the digits equals 8 will be 13C5

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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