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

It is currently 31 Jul 2014, 19:54

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

If there are B boys and G girls in a club, can the girls be

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 930
Followers: 11

Kudos [?]: 236 [1] , given: 543

If there are B boys and G girls in a club, can the girls be [#permalink] New post 12 Mar 2013, 02:18
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

89% (02:18) correct 11% (01:12) wrong based on 56 sessions
If there are B boys and G girls in a club, can the girls be divided equally among 6 teams with no girls left over?

(1) If there were 4 fewer girls then the number of girls would be twice the number of boys
(2) If the number of boys were 2 less than twice the actual number of boys, then the boys could be divided equally among 6 teams with no boys left over.
[Reveal] Spoiler: OA

_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html


Last edited by Bunuel on 12 Mar 2013, 02:42, edited 1 time in total.
Edited the question.
Expert Post
4 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18856
Followers: 3275

Kudos [?]: 22916 [4] , given: 2651

Re: If there are B boys and G girls in a club, can the girls be [#permalink] New post 12 Mar 2013, 02:54
4
This post received
KUDOS
Expert's post
If there are B boys and G girls in a club, can the girls be divided equally among 6 teams with no girls left over?

The question basically asks whether G is a multiple of 6.

(1) If there were 4 fewer girls then the number of girls would be twice the number of boys --> G-4=2B. If B=1, then G=6 and the answer is YES but if B=2, then G=8 and the answer is NO. Not sufficient.

(2) If the number of boys were 2 less than twice the actual number of boys, then the boys could be divided equally among 6 teams with no boys left over. This statement implies that 2B-2 is a multiple of 6. No info about G. Not sufficient.

(1)+(2) From (2) we have that 2B-2=6k --> B=3k+1. Thus from (1) we have that G-4=2(3k+1) --> G=6k+6=6(k+1) --> G IS a multiple of 6. Sufficient.

Answer: C.

Hope it's clear.
_________________

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

SVP
SVP
User avatar
Joined: 09 Sep 2013
Posts: 1835
Followers: 167

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

Premium Member
Re: If there are B boys and G girls in a club, can the girls be [#permalink] New post 27 Jul 2014, 07:15
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: If there are B boys and G girls in a club, can the girls be   [#permalink] 27 Jul 2014, 07:15
    Similar topics Author Replies Last post
Similar
Topics:
Boys n Girls jamifahad 4 11 Oct 2011, 01:33
1 3 boys and 3 girls shrive555 9 19 Aug 2011, 22:59
Boys to Girls Ratio zisis 2 06 May 2010, 14:35
permutations boys and girl mand-y 7 10 Aug 2006, 17:27
Find the number of ways in which 4 boys and 4 girls can be lastochka 9 18 Aug 2004, 15:38
Display posts from previous: Sort by

If there are B boys and G girls in a club, can the girls be

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.