55 people live in an apartment complex with three fitness : GMAT Data Sufficiency (DS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 08 Dec 2016, 14:21

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# 55 people live in an apartment complex with three fitness

Author Message
TAGS:

### Hide Tags

Intern
Joined: 01 Apr 2013
Posts: 23
Followers: 0

Kudos [?]: 43 [1] , given: 9

55 people live in an apartment complex with three fitness [#permalink]

### Show Tags

14 Apr 2013, 15:17
1
KUDOS
6
This post was
BOOKMARKED
00:00

Difficulty:

85% (hard)

Question Stats:

47% (02:26) correct 53% (01:04) wrong based on 233 sessions

### HideShow timer Statistics

55 people live in an apartment complex with three fitness clubs (A, B, and C). Of the 55 residents, 40 residents are members of exactly one of the three fitness clubs in the complex. Are any of the 55 residents members of both fitness clubs A and C but not members of fitness club B?

(1) 2 of the 55 residents are members of all three of the fitness clubs in the apartment complex.
(2) 8 of the 55 residents are members of fitness club B and exactly one other fitness club in the apartment complex.
[Reveal] Spoiler: OA

_________________

Last edited by Tagger on 15 Apr 2013, 05:36, edited 2 times in total.
Manager
Status: Looking to improve
Joined: 15 Jan 2013
Posts: 177
GMAT 1: 530 Q43 V20
GMAT 2: 560 Q42 V25
GMAT 3: 650 Q48 V31
Followers: 1

Kudos [?]: 60 [1] , given: 65

Re: 55 people live in an apartment complex with three fitness cl [#permalink]

### Show Tags

14 Apr 2013, 17:55
1
KUDOS

I would use the 3 overlapping sets formula to evaluate whether the stat 1 and 2 are sufficient.

Total people = people enrolled in A + people enrolled in B + people enrolled in C - (people enrolled in A & B only + people enrolled in B & C only + people enrolled in A &C only ) - 2 (people enrolled in A, B, and C).

Equation based on question stem :

55 = 40 - (people enrolled in A & B only + people enrolled in B & C only + people enrolled in A &C only ) - 2 (people enrolled in A, B, and C).

Stmt 1 gives only 2 (people enrolled in A, B, and C) - Not Sufficient

Stmt 2 gives only (people enrolled in A & B only + people enrolled in B & C only + people enrolled in A &C only ) - Not Sufficient

Considering Stmt 1 and Stmt 2 people enrolled in A &C only can be calculated.

//kudos please, if above explanation is good
VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1123
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 180

Kudos [?]: 1911 [2] , given: 219

Re: 55 people live in an apartment complex with three fitness cl [#permalink]

### Show Tags

14 Apr 2013, 21:05
2
KUDOS
We know that 55-40 people are numbers of 2 or more clubs.
Lets call a the members of only AC, b the members of only AB, c the members of only CB and d the members of all three. And consider n that are the members of none of those clubs!
$$n+a+b+c+d=15$$
Now the question is: is a >0? there are members in AC only?

1) tells us that d=2. We cannot say anything about a
$$m+a+b+2=15$$
2)tells us that b+c=8.Again not sufficient
$$n+a+8+d=15$$

1+2)$$n+a+8+2=15$$ We cannot say anything about A.
E
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Last edited by Zarrolou on 15 Apr 2013, 04:47, edited 1 time in total.
Edited: thanks Transcendentalist
Current Student
Joined: 24 Nov 2012
Posts: 177
Concentration: Sustainability, Entrepreneurship
GMAT 1: 770 Q50 V44
WE: Business Development (Internet and New Media)
Followers: 41

Kudos [?]: 272 [2] , given: 73

Re: 55 people live in an apartment complex with three fitness cl [#permalink]

### Show Tags

15 Apr 2013, 04:38
2
KUDOS
The question does not specify if there are people not member of any clubs. So isn't E a possibility as well?

Assume there are 5 people not a part of any club
_________________

You've been walking the ocean's edge, holding up your robes to keep them dry. You must dive naked under, and deeper under, a thousand times deeper! - Rumi

http://www.manhattangmat.com/blog/index.php/author/cbermanmanhattanprep-com/ - This is worth its weight in gold

Economist GMAT Test - 730, Q50, V41 Aug 9th, 2013
Manhattan GMAT Test - 670, Q45, V36 Aug 11th, 2013
Manhattan GMAT Test - 680, Q47, V36 Aug 17th, 2013
GmatPrep CAT 1 - 770, Q50, V44 Aug 24th, 2013
Manhattan GMAT Test - 690, Q45, V39 Aug 30th, 2013
Manhattan GMAT Test - 710, Q48, V39 Sep 13th, 2013
GmatPrep CAT 2 - 740, Q49, V41 Oct 6th, 2013

GMAT - 770, Q50, V44, Oct 7th, 2013
My Debrief - http://gmatclub.com/forum/from-the-ashes-thou-shall-rise-770-q-50-v-44-awa-5-ir-162299.html#p1284542

VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1123
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 180

Kudos [?]: 1911 [0], given: 219

Re: 55 people live in an apartment complex with three fitness cl [#permalink]

### Show Tags

15 Apr 2013, 04:46
Transcendentalist wrote:
The question does not specify if there are people not member of any clubs. So isn't E a possibility as well?

Assume there are 5 people not a part of any club

Indeed my friend, you are right. The question written as it is has E as answer
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12895
Followers: 561

Kudos [?]: 158 [0], given: 0

Re: 55 people live in an apartment complex with three fitness cl [#permalink]

### Show Tags

02 Jun 2014, 05:29
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.
_________________
Intern
Joined: 22 Jul 2014
Posts: 11
Followers: 0

Kudos [?]: 9 [0], given: 0

55 people live in an apartment complex with three fitness [#permalink]

### Show Tags

21 Aug 2015, 09:58
Tagger wrote:
55 people live in an apartment complex with three fitness clubs (A, B, and C). Of the 55 residents, 40 residents are members of exactly one of the three fitness clubs in the complex. Are any of the 55 residents members of both fitness clubs A and C but not members of fitness club B?

(1) 2 of the 55 residents are members of all three of the fitness clubs in the apartment complex.
(2) 8 of the 55 residents are members of fitness club B and exactly one other fitness club in the apartment complex.

Ans - D

(since the question does not mention that "every resident belongs to at least one fitness club")

Had the question included the above condition the answer would've been an easy C.

That's the beauty of GMAT math questions. It not only checks one's ability to solve a question but also his/her ability of analyzing the question.
As they say, on good math question on GMAT will also check your verbal skills!

Regards
Pratik
_________________

- The race is on .. ..

Consider to give a kudo if the post helped !

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12895
Followers: 561

Kudos [?]: 158 [0], given: 0

Re: 55 people live in an apartment complex with three fitness [#permalink]

### Show Tags

30 Nov 2016, 21:59
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.
_________________
Re: 55 people live in an apartment complex with three fitness   [#permalink] 30 Nov 2016, 21:59
Similar topics Replies Last post
Similar
Topics:
A certain number of people were polled to determine which of three des 1 07 Mar 2016, 07:50
1 A certain number of people were polled to determine which of three des 1 16 Feb 2016, 00:11
19 In a group of 25 people, only three languages are spoken – 5 21 Aug 2013, 22:27
2 Alan and Betty live in a multi-story apartment building 4 29 Feb 2012, 09:30
2 Alan and Betty live in a multi-story apartment building. How 8 08 Apr 2011, 04:33
Display posts from previous: Sort by