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# Three thousand families live in a certain town. How many families who

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Math Expert
Joined: 02 Sep 2009
Posts: 59602
Three thousand families live in a certain town. How many families who  [#permalink]

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16 Oct 2019, 08:21
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:28) correct 17% (01:08) wrong based on 52 sessions

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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.

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Posts: 5448
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Three thousand families live in a certain town. How many families who  [#permalink]

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Updated on: 17 Oct 2019, 06:06
1
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 wrote:
Archit3110 wrote:
Bunuel wrote:
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?

Posted from my mobile device

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.
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5448
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Three thousand families live in a certain town. How many families who  [#permalink]

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Updated on: 17 Oct 2019, 06:05
Bunuel wrote:
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--- 10/20------ 10/0---20
total 2980----20----3000

the column of ntv and nc can be 10 or 0
IMO E

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.
Intern
Joined: 28 Apr 2019
Posts: 39
Re: Three thousand families live in a certain town. How many families who  [#permalink]

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16 Oct 2019, 09:03
Archit3110

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

Posted from my mobile device
Senior Manager
Joined: 25 Jul 2018
Posts: 392
Re: Three thousand families live in a certain town. How many families who  [#permalink]

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16 Oct 2019, 10:33
Archit3110 wrote:
Bunuel wrote:
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?

Posted from my mobile device
Intern
Joined: 28 Apr 2019
Posts: 39
Re: Three thousand families live in a certain town. How many families who  [#permalink]

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16 Oct 2019, 11:31
Archit3110

My mistake. Did not notice. Thanks.

Posted from my mobile device
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Joined: 09 Aug 2017
Posts: 621
Re: Three thousand families live in a certain town. How many families who  [#permalink]

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16 Oct 2019, 17:05
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.
Manager
Joined: 23 Jul 2015
Posts: 79
Re: Three thousand families live in a certain town. How many families who  [#permalink]

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16 Oct 2019, 18:02
Archit3110 wrote:
Bunuel wrote:
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?
Manager
Joined: 07 Mar 2019
Posts: 70
Location: India
Re: Three thousand families live in a certain town. How many families who  [#permalink]

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22 Oct 2019, 00:01
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Re: Three thousand families live in a certain town. How many families who   [#permalink] 22 Oct 2019, 00:01
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