Data Sufficiency

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.

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.