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GMAT Test 2_DS Overlapping Sets #29

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Source: — Data Sufficiency |
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by Bill@VeritasPrep » Tue Apr 03, 2012 8:20 pm
3000 = C + TV - Both + Neither

We are trying to solve for the value of Neither.

1) 2980 own a car or own both a car and a TV. To solve for Neither, we'd need some information about families owning TV's. Insufficient.

2) 2970 own both a car and a TV. To find neither, we'd need some information about TV-only and car-only. Insufficient.

When combined, we can figure out that 10 families own a car only, but we still don't have any information about TV-only. Insufficient.
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by Anurag@Gurome » Tue Apr 03, 2012 8:23 pm
kwah wrote:Attached is a question from GMAT Prep Test 2.

Please advise how to achieve the result.

Answer: E

Thanks,
K
Let us assume that C own a car,
and T own a television

Total = C + T - both C and T + neither C nor T

(1) Of the families who live in the town, 2980 own a car but this info is NOT sufficient.

(2) Of the families who live in the town, 2970 own both a car and a television set but again this info is NOT sufficient.

Combining (1) and (2), we know C and the value of both C and T but we do not know T; NOT sufficient.

The correct answer is E.
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