Find all School-related info fast with the new School-Specific MBA Forum

It is currently 22 Oct 2014, 00:31

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

How many positive integers less than 10,000 are there in

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 12 Jul 2013
Posts: 3
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: How many positive integers less than 10,000 are there in [#permalink] New post 13 Jul 2013, 00:35
Bunuel wrote:

It's everywhere: on the 1st page, on the 2nd...

Notice that it's highly unlikely you'll need it for the GMAT.


I understood the various explanations there. But when employing that, isn't there the worry that you might have

XXXXXXXXXXXXX|||| ?
(There are 13 X's there.)

Since numbers in decimal only go up to 9, wouldn't the cases where there are 10 or more X's grouped together be a problem?
Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesVeritas Prep GMAT Discount Codes
Intern
Intern
avatar
Joined: 27 Jul 2013
Posts: 3
Followers: 0

Kudos [?]: 0 [0], given: 1

Re: How many positive integers less than 10,000 are there in [#permalink] New post 25 Nov 2013, 04:18
Excellent solution Bunuel. Saves a minute at minimum !!! :)
Intern
Intern
avatar
Joined: 21 Sep 2013
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: How many positive integers less than 10,000 are there in [#permalink] New post 29 Nov 2013, 10:03
Hi Bunnel, please can explain when the separator concept is to be used and how to use it. Basically i did not understand in this question that why have we considered only 4 digit number. Please help.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23363
Followers: 3605

Kudos [?]: 28745 [0], given: 2846

Re: How many positive integers less than 10,000 are there in [#permalink] New post 29 Nov 2013, 10:09
Expert's post
nayan19 wrote:
Hi Bunnel, please can explain when the separator concept is to be used and how to use it. Basically i did not understand in this question that why have we considered only 4 digit number. Please help.


Integers less than 10,000 are 1, 2, or 3-digit numbers. Post here: how-many-positive-integers-less-than-10-000-are-there-in-85291.html#p710836 explains that we can get single-digit as well as 2 or 3-digit numbers with that approach (check the examples there).

Similar questions to practice:
larry-michael-and-doug-have-five-donuts-to-share-if-any-108739.html
in-how-many-ways-can-5-different-rings-be-worn-in-four-126991.html

Hope this helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Senior Manager
Senior Manager
avatar
Status: Student
Joined: 26 Aug 2013
Posts: 265
Location: France
Concentration: Finance, General Management
GMAT 1: 650 Q47 V32
GPA: 3.44
Followers: 2

Kudos [?]: 33 [0], given: 401

Re: How many positive integers less than 10,000 are there in [#permalink] New post 27 Dec 2013, 14:33
Exceptionnal technique! Thanks all for this! Saves a lot of time in a lot of situations!

Incredible minds!

thanks !!
_________________

Think outside the box

Intern
Intern
avatar
Joined: 07 May 2013
Posts: 6
Concentration: Entrepreneurship, Strategy
Followers: 0

Kudos [?]: 0 [0], given: 6

Re: How many positive integers less than 10,000 are there in [#permalink] New post 05 May 2014, 16:39
Bunuel's method was clearly simpler and faster, though I would hardly come up with a similar solution in the gmat.

I did it in a different way, can someone check if the approach was valid?

5 and 0s: 4P1*3C3 = 4*1 = 4
4, 1 and 0s: 4P1*3P1*2C2 = 4*3*1 = 12
3, 2 and 0s: 4P1*3P1*2C2 = 4*3*1 = 12
2, 2, 1 and 0: 4P2*2P1*1 = 12*2 = 24
2, 1, 1, 1: 4P1*3C3 = 4*1 = 4

4 + 12+ 12 + 24 + 4 = 56
Re: How many positive integers less than 10,000 are there in   [#permalink] 05 May 2014, 16:39
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic How many natural numbers that are less than 10,000 can be cyberjadugar 7 16 Jun 2012, 19:23
How many positive integers less than 10,000 are such that cvsmech 0 29 Sep 2013, 08:26
10 Experts publish their posts in the topic How many positive integers less than 10,000 PTK 10 16 Oct 2010, 00:42
4 Experts publish their posts in the topic How many positive integers less than 10,000 are there in whi zaarathelab 9 11 Jan 2010, 11:34
Experts publish their posts in the topic How many positive integers less than 200 are there such that bmwhype2 2 23 Nov 2007, 05:07
Display posts from previous: Sort by

How many positive integers less than 10,000 are there in

  Question banks Downloads My Bookmarks Reviews Important topics  

Go to page   Previous    1   2   3   [ 46 posts ] 



cron

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.