It is currently 19 Nov 2017, 09:21

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A gym class can be divided into 8 teams with an equal number

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 178

Kudos [?]: 3578 [2], given: 0

A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 03 Dec 2012, 04:20
2
This post received
KUDOS
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

91% (00:34) correct 9% (00:42) wrong based on 1532 sessions

HideShow timer Statistics

A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96
[Reveal] Spoiler: OA

Kudos [?]: 3578 [2], given: 0

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132696 [1], given: 12335

Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 03 Dec 2012, 04:22
1
This post received
KUDOS
Expert's post
A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96

The lowest possible number of students in the class will be the lowest common multiple of 8 and 12, which is 24.

Answer: B.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132696 [1], given: 12335

1 KUDOS received
Manager
Manager
avatar
Joined: 07 Apr 2014
Posts: 138

Kudos [?]: 31 [1], given: 81

Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 11 Sep 2014, 04:01
1
This post received
KUDOS
Walkabout wrote:
A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96




x/8 - integer
x/12- integer

24 divisible by both value( lowest possible number)

Kudos [?]: 31 [1], given: 81

Intern
Intern
avatar
Joined: 03 May 2014
Posts: 3

Kudos [?]: [0], given: 45

GMAT 1: 600 Q45 V22
GRE 1: 304 Q V
WE: Manufacturing and Production (Consumer Products)
Reviews Badge
Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 05 Jan 2015, 22:04
Walkabout wrote:
A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96



it is not given that the teams must be of equal in number. why cant answer be 12+8 ?
any comments ??

Kudos [?]: [0], given: 45

Intern
Intern
User avatar
Joined: 20 Mar 2013
Posts: 11

Kudos [?]: 2 [0], given: 8

GMAT 1: 570 Q46 V23
GMAT 2: 620 Q47 V28
Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 05 Jan 2015, 22:27
gpitchuka wrote:
Walkabout wrote:
A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96



it is not given that the teams must be of equal in number. why cant answer be 12+8 ?
any comments ??


A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

so the question does mention that

Kudos [?]: 2 [0], given: 8

Expert Post
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10119

Kudos [?]: 3511 [0], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 06 Jan 2015, 11:22
Expert's post
1
This post was
BOOKMARKED
Hi All,

This question is ultimately about finding the Least Common Multiple of 8 and 12. However, even if you did not realize that fact, the answer choices are numbers and we're asked to find the LEAST number of students that could be divided into 8 EQUAL teams OR 12 EQUAL teams. We can TEST THE ANSWERS until we find the match....

Let's start with the smallest and work our way up...

Answer A: 20 students. We CANNOT divide 20 students into 8 equal groups (you can't have "half a student"). Eliminate A.

Answer B: 24 students. We CAN divide 24 students into 8 groups of 3 OR 12 groups of 2. This FITS what we're looking for, so this MUST be the answer.

Final Answer:
[Reveal] Spoiler:
B


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3511 [0], given: 173

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1852

Kudos [?]: 2712 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 08 Jan 2015, 02:44
Just require to find the LCM of 8 & 12 = 24

Answer = B
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2712 [0], given: 193

Intern
Intern
avatar
Joined: 26 Sep 2012
Posts: 2

Kudos [?]: [0], given: 129

Concentration: Strategy, Organizational Behavior
Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 15 Jun 2015, 14:24
I found the Lowest Common Multiple of 8 and 12 by prime factorization.
8=2^3
12=2^2*3

Now I took the highest power of each prime and multiplied them together.

2^3 *3= 24.

Kudos [?]: [0], given: 129

Expert Post
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1806

Kudos [?]: 922 [0], given: 3

Location: United States (CA)
Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 27 May 2016, 05:40
Walkabout wrote:
A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96


We are given that a gym class can be divided into 8 teams or 12 teams, with an equal number of players on each team. Translating this into two mathematical expressions we can say, where G is the total number of students in the gym class, that:

G/8 = integer and G/12 = integer

This means that G is a multiple of both 8 and 12.

We are asked to determine the lowest number of students in the class, or the lowest value for variable “G”. Because we know that G is a multiple of 8 and of 12, we need to find the least common multiple of 8 and 12. Although there are technical ways for determining the least common multiple, the easiest method is to analyze the multiples of 8 and 12 until we find one in common.

Starting with 8, we have: 8, 16, 24, 32

For 12, we have: 12, 24

For the multiples of 12, we stopped at 24, because we see that 24 is also a multiple of 8. Thus, 24 is the least common multiple of 8 and 12, and therefore we know that the lowest possible number of students in the gym class is 24.

Answer B.
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 922 [0], given: 3

Intern
Intern
User avatar
Joined: 20 Oct 2015
Posts: 46

Kudos [?]: 2 [0], given: 8

Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 05 Jul 2016, 06:08
Walkabout wrote:
A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96



8*x=12*y

x=3 and y=2
8*3=12*2=24

Kudos [?]: 2 [0], given: 8

Intern
Intern
avatar
B
Joined: 02 Oct 2016
Posts: 6

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

Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 02 Jul 2017, 06:36
4*3*2=24 which is divisible by 2 or8 if ?/x= we assume lest either may 2 or 3 so we go throug an option 24/3=8 ,24/2=12

Posted from my mobile device

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

Director
Director
avatar
G
Joined: 02 Sep 2016
Posts: 788

Kudos [?]: 43 [0], given: 274

Premium Member CAT Tests
Re: A gym class can be divided into 8 teams with an equal number [#permalink]

Show Tags

New post 09 Sep 2017, 22:00
Total no. of students= x

x= 8k = 2^3 *k (k is a positive integer)
x= 12a = 2^2*3*a (a is a positive integer)

LCM= 2^3*3= 24

The value could change depending on the value of k and a but this will be the least value. All other values will now be a multiple of 24.
_________________

Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.

Kudos [?]: 43 [0], given: 274

Re: A gym class can be divided into 8 teams with an equal number   [#permalink] 09 Sep 2017, 22:00
Display posts from previous: Sort by

A gym class can be divided into 8 teams with an equal number

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.