Last visit was: 02 Sep 2026, 15:39 It is currently 02 Sep 2026, 15:39
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
   1   2   3   4   5   6   
555-605 (Medium)|   Overlapping Sets|         
User avatar
chasing725
User avatar
Joined: 22 Jun 2025
Last visit: 16 Aug 2026
Posts: 241
Own Kudos:
235
 [1]
Given Kudos: 6
Location: United States (OR)
Schools: Stanford
Schools: Stanford
Posts: 241
Kudos: 235
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 13:18
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A recreation center surveyed 420 members about two activities: swimming and cardio-machine workouts. Of the members surveyed, 160 met a 2-hour-per-week mark for both activities, 80 met the mark for cardio-machine workouts but not for swimming, and for every member who met the mark for neither activity, 5 met the mark for swimming but not for cardio-machine workouts. How many of the 420 members met the 2-hour-per-week mark for neither activity?

A. 30
B. 80
C. 150
D. 180
E. 260


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
SwimmingNot Swimming
Cardio16080240
Not Cardio5xx180
420

6x = 180

x = 30

Option A
User avatar
priyanka06
User avatar
Joined: 10 Sep 2025
Last visit: 02 Sep 2026
Posts: 60
Own Kudos:
35
 [1]
Given Kudos: 1
Products:
GMAT Club Tests Forum Quiz
Posts: 60
Kudos: 35
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 13:43
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
let X be the members who met neither of the marks, thus members who met only swimming mark is 5x.

5x+80+160+x=420
thus x=30 , the answer.

Bunuel
A recreation center surveyed 420 members about two activities: swimming and cardio-machine workouts. Of the members surveyed, 160 met a 2-hour-per-week mark for both activities, 80 met the mark for cardio-machine workouts but not for swimming, and for every member who met the mark for neither activity, 5 met the mark for swimming but not for cardio-machine workouts. How many of the 420 members met the 2-hour-per-week mark for neither activity?

A. 30
B. 80
C. 150
D. 180
E. 260


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
Amity007
User avatar
Joined: 12 Sep 2025
Last visit: 02 Sep 2026
Posts: 266
Own Kudos:
490
 [1]
Given Kudos: 1,849
Location: India
Schools: ISB
Products:
GMAT Club Tests
Schools: ISB
Posts: 266
Kudos: 490
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 14:19
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Two groups: swimming (S) and Cardio machine workout(C).
Total member= 420
Both S and C = 160, Only C= 80, Only S = 5 x None. Need to find none=?

So total= only C + Only S + Both s and c + None of them
=> 420= 80+ 5 x N + 160 +N => 6N = 420 - 240 = 180
So N = 30.
Option A is the answer
Bunuel
A recreation center surveyed 420 members about two activities: swimming and cardio-machine workouts. Of the members surveyed, 160 met a 2-hour-per-week mark for both activities, 80 met the mark for cardio-machine workouts but not for swimming, and for every member who met the mark for neither activity, 5 met the mark for swimming but not for cardio-machine workouts. How many of the 420 members met the 2-hour-per-week mark for neither activity?

A. 30
B. 80
C. 150
D. 180
E. 260


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
mehtyas
User avatar
Joined: 27 May 2025
Last visit: 02 Sep 2026
Posts: 74
Own Kudos:
61
 [1]
Given Kudos: 823
Location: India
Concentration: Finance, Strategy
Products:
GMAT Club Tests
Posts: 74
Kudos: 61
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 16:44
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Both = 160
Cardio only = 80
Swim only = 5N
Neither = N
Total = 420

160 + 80 +5N + N = 420
240 +6N = 420
N = 30

Answer: (A) 30
User avatar
alamin8
User avatar
Joined: 24 May 2025
Last visit: 29 Aug 2026
Posts: 181
Own Kudos:
79
 [1]
Given Kudos: 32
Location: Bangladesh
Concentration: Accounting, Technology
Schools: HEC Sept '27 INSEAD Aug '27 UNC '27
GPA: 3.89
Schools: HEC Sept '27 INSEAD Aug '27 UNC '27
Posts: 181
Kudos: 79
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 16:58
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let, the number who met the mark for neither activity be "x"
For every member, who met the mark for neither activity, 5 met the mark for swimming, meaning 5x.
Lets create the equation
Cardio only + swim only + neither + both cardio and swim = 420
80 + 5x + x + 160 = 420
6x = 180
x = 30
Answer: 30 (A)
User avatar
quammagni
User avatar
Joined: 22 Dec 2025
Last visit: 30 Aug 2026
Posts: 6
Own Kudos:
5
 [1]
Given Kudos: 1
Posts: 6
Kudos: 5
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 20:33
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
let the number of members who met the mark for neither activity be x

both swimming and cardio=160
cardio only=80
swimming only=5x
neither=x



since the total is 420:
160+80+5x+x=420
240+6x=420
6x=180
x=30



Bunuel
A recreation center surveyed 420 members about two activities: swimming and cardio-machine workouts. Of the members surveyed, 160 met a 2-hour-per-week mark for both activities, 80 met the mark for cardio-machine workouts but not for swimming, and for every member who met the mark for neither activity, 5 met the mark for swimming but not for cardio-machine workouts. How many of the 420 members met the 2-hour-per-week mark for neither activity?

A. 30
B. 80
C. 150
D. 180
E. 260


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
patnaik1988
User avatar
Joined: 05 Oct 2024
Last visit: 02 Sep 2026
Posts: 78
Own Kudos:
19
 [1]
Given Kudos: 66
Posts: 78
Kudos: 19
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 20:37
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Ans choice A: It's a Venn-diagram problem between 2 events Swimming (s) and Cardio (c).
Given : Total members = 420 ; s&c = 160 ; c=80 ; let neither of s&c = x then s= 5x
The equation becomes: 420= 5x + 160 + 80 + x
which gives, x=30
Bunuel
A recreation center surveyed 420 members about two activities: swimming and cardio-machine workouts. Of the members surveyed, 160 met a 2-hour-per-week mark for both activities, 80 met the mark for cardio-machine workouts but not for swimming, and for every member who met the mark for neither activity, 5 met the mark for swimming but not for cardio-machine workouts. How many of the 420 members met the 2-hour-per-week mark for neither activity?

A. 30
B. 80
C. 150
D. 180
E. 260


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
kalkurd
User avatar
Joined: 31 Oct 2025
Last visit: 25 Jul 2026
Posts: 28
Own Kudos:
26
 [1]
Given Kudos: 1
Posts: 28
Kudos: 26
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 20:58
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A - 30

The four groups cover all 420 members. Both cardio only, swim onl and neither.

Both = 160, cardio only = 80, that leaves swim only + neither = 420 - 160 - 80 = 180

Let neither = n. Swim only is 5n, so n + 5n = 180, therefore 6n = 180, n = 30
User avatar
puncuz
User avatar
Joined: 03 Feb 2025
Last visit: 02 Sep 2026
Posts: 27
Own Kudos:
16
 [1]
Given Kudos: 45
Posts: 27
Kudos: 16
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 21:42
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
S S bar
C16080
C bar 5x x

160+80=240
Subtracting 240 from total 420.
420-240=180

6x=180, therefore x = 30. also S bar, C bar is x = 30, answer A
User avatar
tannu.jha_0104
User avatar
Joined: 07 Apr 2024
Last visit: 02 Sep 2026
Posts: 46
Own Kudos:
51
 [2]
Given Kudos: 69
Location: India
GMAT 1: 200 Q10 V10
GRE 1: Q135 V135
GMAT 1: 200 Q10 V10
GRE 1: Q135 V135
Posts: 46
Kudos: 51
 [2]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 22:09
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let neither=x
swimming only=5x

160+80+5x+x=420
240+6x=420
6x=180
x=30
User avatar
PS3008
User avatar
Joined: 13 Oct 2025
Last visit: 19 Aug 2026
Posts: 8
Own Kudos:
5
 [1]
Given Kudos: 2
Posts: 8
Kudos: 5
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 22:35
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SO if you will see the venn diagram in the image:
we get the equation as
5x + x + 160 + 80 = 420
X = 30
Attachments

Screenshot 2026-07-11 110329.png
Screenshot 2026-07-11 110329.png [ 69.65 KiB | Viewed 121 times ]

User avatar
Punt
User avatar
Joined: 09 Jul 2024
Last visit: 10 Aug 2026
Posts: 96
Own Kudos:
77
 [1]
Given Kudos: 18
Location: India
Posts: 96
Kudos: 77
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 22:39
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given,
Cardio only, C = 80
Swimming only = 5x
Neither = x
Both activities, B = 160
Total members= 420

Equation,

160 + 80 + 5x + x = 420
x = 180/60
x = 30

Answer : A (30)


Bunuel
A recreation center surveyed 420 members about two activities: swimming and cardio-machine workouts. Of the members surveyed, 160 met a 2-hour-per-week mark for both activities, 80 met the mark for cardio-machine workouts but not for swimming, and for every member who met the mark for neither activity, 5 met the mark for swimming but not for cardio-machine workouts. How many of the 420 members met the 2-hour-per-week mark for neither activity?

A. 30
B. 80
C. 150
D. 180
E. 260


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
Vijendra.D
User avatar
Joined: 12 Jun 2024
Last visit: 13 Aug 2026
Posts: 27
Own Kudos:
15
 [1]
Given Kudos: 148
GMAT Focus 1: 575 Q81 V81 DI74
GMAT Focus 2: 615 Q85 V78 DI78
GMAT Focus 2: 615 Q85 V78 DI78
Posts: 27
Kudos: 15
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 22:52
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let's solve this using tabular format
CardioNot CardioTotal
Swimming 1605x
Not Swimming 80x
Total240180420

6x == 180
Therefore x == 30

Answer: A
User avatar
GreenPill
User avatar
Joined: 13 Jun 2026
Last visit: 02 Sep 2026
Posts: 37
Own Kudos:
25
 [1]
Products:
Forum Quiz
Posts: 37
Kudos: 25
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 23:14
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A recreation center surveyed 420 members about two activities: swimming and cardio-machine workouts. Of the members surveyed, 160 met a 2-hour-per-week mark for both activities, 80 met the mark for cardio-machine workouts but not for swimming, and for every member who met the mark for neither activity, 5 met the mark for swimming but not for cardio-machine workouts. How many of the 420 members met the 2-hour-per-week mark for neither activity?

A. 30
B. 80
C. 150
D. 180
E. 260


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
Option A total = both + neither + only swim + only cardio. 1x (neither)= 5x(swim)
420 = 160 + n + s + 80. 6x = 420-240 ....... -> x = 30. x is neither so 150 only swim and 30 neither
User avatar
harishj1996
User avatar
Joined: 01 Jun 2026
Last visit: 01 Aug 2026
Posts: 38
Own Kudos:
28
 [1]
Given Kudos: 5
Products:
GMAT Club Tests Forum Quiz
Posts: 38
Kudos: 28
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 23:16
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The trick in this question is interesting and I couldn't figure it out initially. It's all about how the sets itself are organized. I would recommend spending some time looking into this question to really figure out what the sets are about and arrange them into a TABULAR MATRIX to solve the problem effectively.

First the order of sets:

Swim >= 2 Hours/Wk - Swimmers who meet the mark
Swim Not >=2 Hours/Wk - Swimmers who do not meet the mark

Second Column:

Cardio Machine >= 2 Hours/Wk - Cardio who meet the mark
Cardio Machine Not >= 2 Hours /Wk Cardio who do not meet the mark

Cardio >=2 HoursCardio Not >= 2 Hours
Swim >= 2 Hours1605x
Swim Not >= 2 Hours80x

Total = 420

So we need to solve for 'x', i.e., How many of the 420 members do not meet the mark in either category:

Hence, we can infer that the sum of all the above will be equal to 420, since everyone is accounted for in the Table above. So solving the equation we have:

160 + 80 + 5x + x = 420
6x = 240
x = 30

Hence the answer is 'A'
User avatar
dhart
User avatar
Joined: 02 Feb 2026
Last visit: 02 Sep 2026
Posts: 177
Own Kudos:
86
 [1]
Given Kudos: 34
Posts: 177
Kudos: 86
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 23:23
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
420 = only swimming + 80+160 +x
= 5x + 240+x
180 = 6x

x = 30
neither acivity = 30
User avatar
Triloki
User avatar
Joined: 26 May 2026
Last visit: 02 Sep 2026
Posts: 5
Own Kudos:
6
 [1]
Given Kudos: 1
Posts: 5
Kudos: 6
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 23:23
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A recreation center surveyed 420 members about two activities: swimming and cardio-machine workouts. Of the members surveyed, 160 met a 2-hour-per-week mark for both activities, 80 met the mark for cardio-machine workouts but not for swimming, and for every member who met the mark for neither activity, 5 met the mark for swimming but not for cardio-machine workouts. How many of the 420 members met the 2-hour-per-week mark for neither activity?

A. 30
B. 80
C. 150
D. 180
E. 260


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more


A

Neither + both+ only s + only c = 420

Neither = x
Only Swimming = 5 x

X+5x+160+80= 420

X = 30
User avatar
vasu1104
User avatar
Joined: 10 Feb 2023
Last visit: 02 Sep 2026
Posts: 732
Own Kudos:
420
 [1]
Given Kudos: 672
Location: Canada
Products:
GMAT Club Tests Forum Quiz
Posts: 732
Kudos: 420
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 10 Jul 2026, 23:37
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SS'Total
C16080240
C'5xx180
Total160+5x80+x420

we are told that for every 1 person in neither category, 5 met the mark for only swimming.
so say neither= 5
so only swimming = 5x

find= X

160+5x+80+x = 420
6x = 180
x = 30

choice A
Bunuel
A recreation center surveyed 420 members about two activities: swimming and cardio-machine workouts. Of the members surveyed, 160 met a 2-hour-per-week mark for both activities, 80 met the mark for cardio-machine workouts but not for swimming, and for every member who met the mark for neither activity, 5 met the mark for swimming but not for cardio-machine workouts. How many of the 420 members met the 2-hour-per-week mark for neither activity?

A. 30
B. 80
C. 150
D. 180
E. 260


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
sunshineeee
User avatar
Joined: 17 May 2020
Last visit: 30 Aug 2026
Posts: 174
Own Kudos:
53
 [1]
Given Kudos: 266
Location: Indonesia
Schools: Stern '26 (WL) Tepper '26 (WL) BU'26 (A) Ross '26 Johnson '26
Products:
GMAT Club Tests Forum Quiz
Schools: Stern '26 (WL) Tepper '26 (WL) BU'26 (A) Ross '26 Johnson '26
Posts: 174
Kudos: 53
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 11 Jul 2026, 00:44
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Cardio: C
Swimming: S

Total: C+S plus Only C, Not S plus Only S, Not C plus Neither CS = 420
C+S = 160
Only C, Not S = 80

Only S, Not C plus Neither CS = 420 - (160+80) = 420-240=180

For every neither CS, 5 Only S, Not C reflected with this
x + 5x = 180
6x = 180
x = 30

So the neither activity = x = 30 (A)

Bunuel
A recreation center surveyed 420 members about two activities: swimming and cardio-machine workouts. Of the members surveyed, 160 met a 2-hour-per-week mark for both activities, 80 met the mark for cardio-machine workouts but not for swimming, and for every member who met the mark for neither activity, 5 met the mark for swimming but not for cardio-machine workouts. How many of the 420 members met the 2-hour-per-week mark for neither activity?

A. 30
B. 80
C. 150
D. 180
E. 260


 


This question was provided by GMAT Club
for the GMAT World Cup Competition

Win over $30,000 in prizes such as Courses, Tests, Private Tutoring, and more

 


⚠️ Important: GMAT Club does not allow AI-generated posts. AI-generated solutions are not eligible for kudos, and users who post them may face moderation action, including a ban.
Show more
User avatar
Reon
User avatar
Joined: 16 Sep 2025
Last visit: 01 Sep 2026
Posts: 288
Own Kudos:
200
 [1]
Given Kudos: 18
Posts: 288
Kudos: 200
 [1]
GMAT Club World Cup 2026 (Day 5): A recreation center surveyed 420 mem 11 Jul 2026, 00:47
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
____________C_________NC_________Total
S_________ 160 _______ 5x _________
NS________ 80 ________ x __________
T_________ 240 _______ 6x __________420

240+6x= 420
6x=420-240=180
x=180/6=30

A. 30
   1   2   3   4   5   6   
Moderator:
Bunuel
Math Expert
113061 posts