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f2001290: Master | Next Rank: 500 Posts; Posts: 400; Joined: Sat Mar 10, 2007 4:04 amFollowed by: 1 member; Thanked: 1 times

by f2001290 » Tue Jun 12, 2007 1:51 pm

Last year in a group of 30 businesses, 21 reported a net profit and
15 had investments in foreign markets. How many of the businesses
did not report a net profit nor invest in foreign markets last year?
(1) last year 12 of the 30 businesses
reported a net profit and had investments
in foreign markets.
(2) last year 24 of the 30 businesses
reported a net profit or invested in
foreign markets, or both.

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Source: Beat The GMAT — Data Sufficiency | Tue Jun 12, 2007 1:51 pm

Prasanna: Master | Next Rank: 500 Posts; Posts: 418; Joined: Mon Feb 26, 2007 6:41 pm; Thanked: 24 times

Re: ds

by Prasanna » Tue Jun 12, 2007 3:37 pm

f2001290 wrote:Last year in a group of 30 businesses, 21 reported a net profit and
15 had investments in foreign markets. How many of the businesses
did not report a net profit nor invest in foreign markets last year?
(1) last year 12 of the 30 businesses
reported a net profit and had investments
in foreign markets.
(2) last year 24 of the 30 businesses
reported a net profit or invested in
foreign markets, or both.

Is the answer D? Each statement is sufficient to answer the question.

We know n(NP)=21 and n(FI)=15 NP- Net profit and FI- Foreign investments

Statement (1) says n(NP) U n(FI)=12. This means business which did not report profit or invest in foreign markets is 30- (21+15-12)=6. Hence sufficient.

From Statement (2) you can immediately say that the answer is 6.

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