Cars and TVs

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sampath: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Thu May 19, 2011 9:20 pm

by sampath » Thu Jul 28, 2011 10:34 am

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.

I got the answer as C. Could someone please confirm the answer. Thanks.

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Source: Beat The GMAT — Data Sufficiency | Thu Jul 28, 2011 10:34 am

GAMATO: Junior | Next Rank: 30 Posts; Posts: 26; Joined: Wed Jul 13, 2011 10:01 am

by GAMATO » Thu Jul 28, 2011 11:44 am

IMO E

sampath 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.

I got the answer as C. Could someone please confirm the answer. Thanks.

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HeintzC2: Junior | Next Rank: 30 Posts; Posts: 25; Joined: Fri Jul 22, 2011 5:09 am; Thanked: 1 times

by HeintzC2 » Thu Jul 28, 2011 1:22 pm

Agreed, believe the correct solution is E

Statement (1) tells us 20 families in the town don't have a car.
Insufficient by itself.

Statement (2) tells us 30 families in the town don't have a car or a television set (could be one, the other, or both).
Insufficient by itself.

Statement (1) and (2) together tell us that out of the 30 families that don't have a car or a television set, there are 20 families that definitely do not have a car. We are not given any input on the number of families that don't own televisions, therefore, insufficient together.

GAMATO wrote:IMO E
sampath 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.

I got the answer as C. Could someone please confirm the answer. Thanks.

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ColumbiaVC: Senior | Next Rank: 100 Posts; Posts: 93; Joined: Sun Jul 17, 2011 10:30 amFollowed by: 2 members; Thanked: 1 times

by ColumbiaVC » Fri Jul 29, 2011 4:59 pm

I got the answer as C.
Whats the OA???

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edge: Senior | Next Rank: 100 Posts; Posts: 49; Joined: Sun Jun 26, 2011 5:45 pm; Thanked: 2 times

by edge » Fri Jul 29, 2011 5:32 pm

My answer is E.

The two statements are obviously insufficient by themselves. Combining the given information in the question and the two statements, we have:

n(Total) = n(cars only) + n(car and TV) + n(TV only) + n(neither car nor TV)
3000 = (2980 - 2970) + 2970 + n(TV only) + n(neither car nor TV)
n(neither car nor TV) = 20 - n(TV only)

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