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Last year in a group of 30 businesses, 21 reported a net

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Manager
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Last year in a group of 30 businesses, 21 reported a net [#permalink] New post 08 Oct 2006, 10:49
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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.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE
is sufficient.
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
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Director
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 [#permalink] New post 08 Oct 2006, 11:15
D

Statement 1: A intersection B = 12.
So, total number of businesses that had
1. a net profit or
2. investment in foreign businesses or
3. both

equals 24. So, no. of businesses that had neither =6
SUFF

Statement 2:
the derivation is already done and the the solution is given. So SUFF
Senior Manager
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 [#permalink] New post 08 Oct 2006, 11:30
D (using venn diagram)

I) 9 + 12 + 3 + REST = 30 SUFF
II) REST = 30 - 24 SUFF
  [#permalink] 08 Oct 2006, 11:30
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Last year in a group of 30 businesses, 21 reported a net

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