It is currently 20 Feb 2018, 07:46

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 local club has between 24 and 57 members. The members of the club ca

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

Hide Tags

2 KUDOS received
Manager
Manager
avatar
G
Joined: 02 Jun 2015
Posts: 192
Location: Ghana
Premium Member
A local club has between 24 and 57 members. The members of the club ca [#permalink]

Show Tags

New post 21 Oct 2016, 08:54
2
This post received
KUDOS
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (02:27) correct 44% (01:44) wrong based on 124 sessions

HideShow timer Statistics

A local club has between 24 and 57 members. The members of the club can be separated into groups of which all but the final group, which will have 3 members, will have 4 members. The members can also be separated into groups so that all groups but the final group, which will have 3 members, will have 5 members. If the members are separated into as many groups of 6 as possible, how many members will be in the final group? (Source: Bell Curves)

A) 6
B) 5
C) 3
D) 2
E) 1
[Reveal] Spoiler: OA

_________________

Kindly press kudos if you find my post helpful

SC Moderator
User avatar
P
Joined: 13 Apr 2015
Posts: 1580
Location: India
Concentration: Strategy, General Management
WE: Analyst (Retail)
GMAT ToolKit User Premium Member CAT Tests
Re: A local club has between 24 and 57 members. The members of the club ca [#permalink]

Show Tags

New post 21 Oct 2016, 09:13
Case 1: Final group = 3; Rest of the group = 4A; Number of members = 4A + 3
Case 2: Final group = 3; Rest of the group = 5B; Number of members = 5B + 3

4A + 3 = 5B + 3
4A = 5B --> Possible values = 20, 40, 60, ........ --> But only 40 satisfies the given conditions

Number of members = 40 + 3 = 43
When divided into groups of 6, final group will have 1 member (6*7 + 1).

Answer: E
Manager
Manager
avatar
Joined: 29 Aug 2008
Posts: 111
Re: A local club has between 24 and 57 members. The members of the club ca [#permalink]

Show Tags

New post 21 Oct 2016, 09:23
On Dividing in groups of 4 final group is left with 3 members = 4x + 3

On Dividing in groups of 5 final group is left with 3 members = 5y + 3

So, the first number which satisfies the above equation will be 23. But we are given that number of ppl are between 24 and 57.

So the general formula to satisfy the above 2 equations would be 20x + 23 which gives the next possible number as 43.

On dividing by 6 in a group we are left with 1 member in the last group.

So option E.
Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3326
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: A local club has between 24 and 57 members. The members of the club ca [#permalink]

Show Tags

New post 21 Oct 2016, 10:00
1
This post was
BOOKMARKED
duahsolo wrote:
A local club has between 24 and 57 members. The members of the club can be separated into groups of which all but the final group, which will have 3 members, will have 4 members. The members can also be separated into groups so that all groups but the final group, which will have 3 members, will have 5 members. If the members are separated into as many groups of 6 as possible, how many members will be in the final group? (Source: Bell Curves)

A) 6
B) 5
C) 3
D) 2
E) 1


No of members = 24 to 57

No of members = x/4 + 3 = x/5 + 3

Or, x/4 = x/5

From here try to find the values of x

x can be { 20, 40 }

Since x > 20 , value of x must be 40

So, total no of members is 43

When members are grouped in pairs of 6 remainder will be 1

Hence answer will be (E) 1

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Intern
Intern
avatar
Joined: 05 Nov 2016
Posts: 3
Re: A local club has between 24 and 57 members. The members of the club ca [#permalink]

Show Tags

New post 22 Nov 2016, 08:35
Is this a real GMAT question?
Intern
Intern
User avatar
B
Joined: 22 Feb 2017
Posts: 16
Location: India
GPA: 3.6
WE: Engineering (Manufacturing)
GMAT ToolKit User
Re: A local club has between 24 and 57 members. The members of the club ca [#permalink]

Show Tags

New post 28 Apr 2017, 06:30
duahsolo wrote:
A local club has between 24 and 57 members. The members of the club can be separated into groups of which all but the final group, which will have 3 members, will have 4 members. The members can also be separated into groups so that all groups but the final group, which will have 3 members, will have 5 members. If the members are separated into as many groups of 6 as possible, how many members will be in the final group? (Source: Bell Curves)

A) 6
B) 5
C) 3
D) 2
E) 1


the question is unclear..what the hell does the above highlighted line means? rather it should be "which will have 3 member left, when it have 4 members.." I don't think such an ambiguous question is likely to appear in GMAT..rest is ok
Intern
Intern
avatar
B
Joined: 23 Aug 2016
Posts: 47
Re: A local club has between 24 and 57 members. The members of the club ca [#permalink]

Show Tags

New post 01 May 2017, 13:25
I'm not following how the users above me concluded that 4x=5x must mean that x=40..

I solved this by testing numbers starting with 55. This does not result in a remainder of 3 when divided by 5, so I incrementally moved down by factors of 4 until I reached 43. Divide by 6, we get remainder = 1.
Manager
Manager
avatar
B
Joined: 14 May 2015
Posts: 52
Re: A local club has between 24 and 57 members. The members of the club ca [#permalink]

Show Tags

New post 01 May 2017, 14:19
all but the final group, which will have 3 members, will have 4 members.
all group=4 members (divisor)
final group=3 members (remainder)
N(total member)=4a+3

all groups but the final group, which will have 3 members, will have 5 members
all group=5 members (divisor)
final group=3 members (remainder)
N(total member)=5b+3

N=N
4a+3=5b+3
4a=5b
so, 4a=5b=20 [lcm of 4,5]
N=20+3=23

so, first (total number of member) satisfying 2 conditions= 23
but [A local club has between 24 and 57 members]. so, we need to find a general number that will satisfy all condition.

Finding next pool
lcm of 4,5=20
The general number=20c+23 [will satisfy all condition] [where c>0]

Question asked: If the members are separated into many groups of 6 (dividend) then how many members will be in the final group (remainder)?


(20c+23)/6
[(18c+18)+(2c+5)]/6

(18c+18)/6 = remainder 0
(2c+5)]/6= remainder 1 [c=1]

(rem 0 + rem 1)/6
= remainder 1

Answer: E
Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 906
Re: A local club has between 24 and 57 members. The members of the club ca [#permalink]

Show Tags

New post 01 May 2017, 17:36
duahsolo wrote:
A local club has between 24 and 57 members. The members of the club can be separated into groups of which all but the final group, which will have 3 members, will have 4 members. The members can also be separated into groups so that all groups but the final group, which will have 3 members, will have 5 members. If the members are separated into as many groups of 6 as possible, how many members will be in the final group? (Source: Bell Curves)

A) 6
B) 5
C) 3
D) 2
E) 1


(n-3)/4-1=(n-3)/5
n=23
23+4*5=43
43/6 gives a remainder of 1
E
Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2181
Location: United States (CA)
Re: A local club has between 24 and 57 members. The members of the club ca [#permalink]

Show Tags

New post 10 May 2017, 11:39
1
This post received
KUDOS
Expert's post
duahsolo wrote:
A local club has between 24 and 57 members. The members of the club can be separated into groups of which all but the final group, which will have 3 members, will have 4 members. The members can also be separated into groups so that all groups but the final group, which will have 3 members, will have 5 members. If the members are separated into as many groups of 6 as possible, how many members will be in the final group? (Source: Bell Curves)

A) 6
B) 5
C) 3
D) 2
E) 1


Let’s let x = the number of initial groups. The number of members in these x groups will be 4x. The final group has 3 members. Thus, the total number of members is 4x + 3.

Similarly, the number of initial 5-member groups can be represented as y, and the final group has 3 members. Thus, the total number of members is equal to 5y + 3.

From the information above, we deduce that three less than the number of members must be a multiple of both 4 and 5; therefore, the number of members must be 3 more than a multiple of 20. The total membership can’t be 23 members because 23 is below the lower bound provided for the members. Similarly, the number of members can’t be 63, which is higher than the upper bound provided for the number of members. The only possible number left is 43, and it is consistent with the provided information about the number of members.

Now, since 43 divided by 6 produces a remainder of 1, when the 43 members are separated into groups of 6, there will be one person left for the final group.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: A local club has between 24 and 57 members. The members of the club ca   [#permalink] 10 May 2017, 11:39
Display posts from previous: Sort by

A local club has between 24 and 57 members. The members of the club ca

  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®.