Last visit was: 19 May 2026, 08:59 It is currently 19 May 2026, 08:59
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 May 2026
Posts: 110,698
Own Kudos:
815,745
 [8]
Given Kudos: 106,315
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,698
Kudos: 815,745
 [8]
Three thousand families live in a certain town. How many families who 16 Oct 2019, 08:21
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

88% (01:15) correct 12% (01:08) wrong based on 413 sessions

History

Date
Time
Result
Not Attempted Yet
Three thousand families live in a certain town. How many families who live in the town own neither a car nor a television set?

(1) Of the families who live in the town, 2,980 own a car.

(2) Of the families who live in the town, 2,970 own both a car and a television set.
ShowHide Answer
Official Answer
E
Solving this question helps. Taking a timed set of similar questions in GMAT Club Forum Quiz → is even better.
Most Helpful Reply
User avatar
TarunTilokani
User avatar
Joined: 07 Mar 2019
Last visit: 25 Jul 2020
Posts: 50
Own Kudos:
199
 [5]
Given Kudos: 77
Location: India
Posts: 50
Kudos: 199
 [5]
Three thousand families live in a certain town. How many families who 22 Oct 2019, 00:01
5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The answer would be E
Attachments

New Doc 2019-10-22 12.27.33.jpg
New Doc 2019-10-22 12.27.33.jpg [ 379.99 KiB | Viewed 11909 times ]

General Discussion
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 18 May 2026
Posts: 8,651
Own Kudos:
5,198
 [2]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,651
Kudos: 5,198
 [2]
Three thousand families live in a certain town. How many families who Updated on: 17 Oct 2019, 06:05
Originally posted by Archit3110 on 16 Oct 2019, 08:28.
Last edited by Archit3110 on 17 Oct 2019, 06:05, edited 1 time in total.
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
Three thousand families live in a certain town. How many families who live in the town own neither a car nor a television set?

(1) Of the families who live in the town, 2,980 own a car.

(2) Of the families who live in the town, 2,970 own both a car and a television set.
Show more

solve using 2x2
we get
---tv--- ntv----total
car--2970--10---2980
nc--- 10/20------ 10/0---20
total 2980----20----3000

the column of ntv and nc can be 10 or 0
IMO E
avatar
Shorub
avatar
Joined: 28 Apr 2019
Last visit: 21 Jul 2020
Posts: 41
Own Kudos:
11
Given Kudos: 56
Posts: 41
Kudos: 11
Three thousand families live in a certain town. How many families who 16 Oct 2019, 09:03
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Archit3110

How did u assume the total number of families in the town?

Posted from my mobile device
User avatar
lacktutor
User avatar
Joined: 25 Jul 2018
Last visit: 23 Oct 2023
Posts: 658
Own Kudos:
1,454
Given Kudos: 69
Posts: 658
Kudos: 1,454
Three thousand families live in a certain town. How many families who 16 Oct 2019, 10:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Archit3110
Bunuel
Three thousand families live in a certain town. How many families who live in the town own neither a car nor a television set?

(1) Of the families who live in the town, 2,980 own a car.

(2) Of the families who live in the town, 2,970 own both a car and a television set.

solve using 2x2
we get
---tv--- ntv----total
car--2970--10---2980
nc--- 10------ 10---20
total 2980----20----3000
IMO C
Show more

Hi,
How did you get the total number of Tv.set which is equal to 2980?

Thanks in advance.

Posted from my mobile device
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 18 May 2026
Posts: 8,651
Own Kudos:
5,198
 [1]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,651
Kudos: 5,198
 [1]
Three thousand families live in a certain town. How many families who Updated on: 17 Oct 2019, 06:06
Originally posted by Archit3110 on 16 Oct 2019, 11:29.
Last edited by Archit3110 on 17 Oct 2019, 06:06, edited 1 time in total.
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Shorub its given 3000 families live in a certain town

lacktutor

i solved quesiton using 2x2 matrix if you see #1
Of the families who live in the town, 2,980 own a car.
we get
---tv--- no tv----total
car-- --- --2980
no car--- ------ ---
total ----]----3000
insufficient

#2
Of the families who live in the town, 2,970 own both a car and a television set
---tv--- no tv----total
car-- 2970--- --2970
no car--- ------ --- 30
total ---- ----3000
again insufficient
from 1&2
---tv--- no tv----total
car--2970--10---2980
no car--- 10/20------ 10/0---20
total 2980----20/10----3000
sufficient
IMO E ; 20 /0 r

lacktutor
Archit3110
Bunuel
Three thousand families live in a certain town. How many families who live in the town own neither a car nor a television set?

(1) Of the families who live in the town, 2,980 own a car.

(2) Of the families who live in the town, 2,970 own both a car and a television set.

solve using 2x2
we get
---tv--- ntv----total
car--2970--10---2980
nc--- 10------ 10---20
total 2980----20----3000
IMO C

Hi,
How did you get the total number of Tv.set which is equal to 2980?

Thanks in advance.

Posted from my mobile device
Show more
avatar
Shorub
avatar
Joined: 28 Apr 2019
Last visit: 21 Jul 2020
Posts: 41
Own Kudos:
11
Given Kudos: 56
Posts: 41
Kudos: 11
Three thousand families live in a certain town. How many families who 16 Oct 2019, 11:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Archit3110

My mistake. Did not notice. Thanks.

Posted from my mobile device
User avatar
gvij2017
User avatar
Joined: 09 Aug 2017
Last visit: 18 Jun 2024
Posts: 663
Own Kudos:
509
Given Kudos: 778
Posts: 663
Kudos: 509
Three thousand families live in a certain town. How many families who 16 Oct 2019, 17:05
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total= A+B-Both A&B+Neither A nor B.

Given: Total: 3000
We have to calculate =Neither A nor B.

Statement1
All having car, few of them might have TV =A= 2980.
Not sufficient.

Statement: 2
Both having car and TV= A&B: 2970.

Statement 1+2
3000= 2980+B-2970+Neither A nor B.
Neither A nor B +B= 20
Now we don't know the value of B.

Not sufficient.
E is answer.
User avatar
SPatel1992
User avatar
Joined: 23 Jul 2015
Last visit: 14 Aug 2020
Posts: 63
Own Kudos:
35
Given Kudos: 297
Schools: Marshall '22 (S)
Schools: Marshall '22 (S)
Posts: 63
Kudos: 35
Three thousand families live in a certain town. How many families who 16 Oct 2019, 18:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Archit3110
Bunuel
Three thousand families live in a certain town. How many families who live in the town own neither a car nor a television set?

(1) Of the families who live in the town, 2,980 own a car.

(2) Of the families who live in the town, 2,970 own both a car and a television set.

solve using 2x2
we get
---tv--- ntv----total
car--2970--10---2980
nc--- 10------ 10---20
total 2980----20----3000
IMO C
Show more


Why did you split 20 equally? What 0 families did not have a car and 20 families did not have a tv or vice versa?
User avatar
BLTN
User avatar
Joined: 25 Aug 2020
Last visit: 19 Dec 2022
Posts: 227
Own Kudos:
294
Given Kudos: 214
Posts: 227
Kudos: 294
Three thousand families live in a certain town. How many families who 18 Oct 2022, 06:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SPatel1992
Archit3110
Bunuel
Three thousand families live in a certain town. How many families who live in the town own neither a car nor a television set?

(1) Of the families who live in the town, 2,980 own a car.

(2) Of the families who live in the town, 2,970 own both a car and a television set.

solve using 2x2
we get
---tv--- ntv----total
car--2970--10---2980
nc--- 10------ 10---20
total 2980----20----3000
IMO C


Why did you split 20 equally? What 0 families did not have a car and 20 families did not have a tv or vice versa?
Show more


I presume there is a typo; we do not have info to fill the No-Car row.
Furthermore, we do not have total # of TV also.

What we have is that
Total = Cars +TV - Both + Neither
3000 = 2980 + TV - 2970 + Neither
2990 = TV + Neither
Neither = 2990 - TV; insufficient because we do not have # of TV
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,109
Own Kudos:
1,125
Posts: 39,109
Kudos: 1,125
Three thousand families live in a certain town. How many families who 05 Nov 2023, 12:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
110698 posts
kingbucky
500 posts
Gmat860sanskar
266 posts