BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

MAth Number problem -

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 298
Joined: Sun Jun 03, 2012 6:42 amFollowed by: 7 members
Location: New delhi
Thanked: 10 times
GMAT Score:590
by varun289 » Wed Dec 05, 2012 8:38 pm
38. How many positive integers less than 10,000 are there in which sum of digits equals 5?
(a) 31
(b) 51
(c) 56
(d) 62
(e) 93
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
MBA Admissions Consultant
Posts: 2279
Joined: Fri Nov 11, 2011 7:51 amFollowed by: 266 members
Location: New York
Thanked: 660 times
GMAT Score:770

by Jim@StratusPrep » Thu Dec 06, 2012 8:10 am
0- 99 ---- 6
100 - 199 --- 4
300 - 399 --- 3
400 - 499 --- 2
500 - 599 --- 1

1000 - 1099 --- 5
1100 - 1199 --- 4
1200 - 1299 --- 3
1300 - 1399 --- 2
1400 - 1499 --- 1

2000 - 2099 --- 4
2100 - 2199 --- 3
2200 - 2299 --- 2
2300 - 2399 --- 1

The pattern will continue to drop the highest number so ther are 6 between 3000 and 3999, 3 between 4000 and 4999 and then just 1 at 5000

Your total is 16 + 15 + 10 + 6 + 3 + 1 = 51
GMAT Answers provides a world class adaptive learning platform.
-- Push button course navigation to simplify planning
-- Daily assignments to fit your exam timeline
-- Organized review that is tailored based on your abiility
-- 1,000s of unique GMAT questions
-- 100s of handwritten 'digital flip books' for OG questions
-- 100% Free Trial and less than $20 per month after.
-- Free GMAT Quantitative Review

Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
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 » Thu Dec 06, 2012 8:17 am
varun289 wrote:38. How many positive integers less than 10,000 are there in which sum of digits equals 5?
(a) 31
(b) 51
(c) 56
(d) 62
(e) 93
I believe the answer is C

Image


More on this question here: https://www.beatthegmat.com/very-tricky- ... 25349.html

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 194
Joined: Mon Oct 15, 2012 7:14 pmFollowed by: 6 members
Location: India
Thanked: 47 times

by The Iceman » Thu Dec 06, 2012 9:38 am
varun289 wrote:38. How many positive integers less than 10,000 are there in which sum of digits equals 5?
(a) 31
(b) 51
(c) 56
(d) 62
(e) 93
The best way to see this problem is to imagine abcd as any generic number from 1 to 9999, such that a+b+c+d=5 (e.g. 5 can be represented as 0005, 122 can be represented as 0122, etc.)
The number of natural number solutions for a+b+c+d=5 is 8C3=56 and hence the answer.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 298
Joined: Sun Jun 03, 2012 6:42 amFollowed by: 7 members
Location: New delhi
Thanked: 10 times
GMAT Score:590

by varun289 » Thu Dec 06, 2012 9:59 am
brent logic is best ,
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 47
Joined: Wed Nov 21, 2012 10:40 pm
Thanked: 4 times

by ritind » Sat Dec 08, 2012 2:15 am
Brent if the question would have been
How many positive integers less than 100,000 are there in which sum of digits equals 6?
Will the ans be 9C3 i.e. 84
Just wanted to know if i got the logic rite or wrong. Pl. help
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
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 » Sat Dec 08, 2012 6:03 am
Check here for similar problems:

https://www.beatthegmat.com/permutation- ... 23007.html

https://www.beatthegmat.com/combinations-t120668.html

https://www.beatthegmat.com/tricky-counting-t92069.html
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
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 » Sat Dec 08, 2012 9:15 am
ritind wrote:Brent if the question would have been
How many positive integers less than 100,000 are there in which sum of digits equals 6?
Will the ans be 9C3 i.e. 84
Just wanted to know if i got the logic rite or wrong. Pl. help
Numbers less than 100,000 will be 5-digit numbers (or less).
So, using my technique, we need xC4 to take x things and divide it into 5 regions.
To get a sum of 6, we need x to be such that, when we choose 4 items, there must be 6 items left.
So, we need x to be 10.

So, my long-winded answer to your question is....

How many positive integers less than 100,000 are there in which sum of digits equals 6?
Answer = 10C4

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 47
Joined: Wed Nov 21, 2012 10:40 pm
Thanked: 4 times

by ritind » Sun Dec 09, 2012 9:54 pm
Thanks Brent I gt the logice now
Thanks GMATGuruNY: I was looking for more question on P&C topic
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1