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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?
Statement 1: Last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.
Statement 2: Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed. 
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Last year in a group of 30 businesses, 21 reported a net profit and 15...
Consider the Venn diagram below in which x represents the number of businesses that reported a net profit and had investments in foreign markets. Since 21 businesses reported a net profit, 21 - x businesses reported a net profit only. Since 15 businesses had investments in foreign markets, 15 - x businesses had investments in foreign markets only. Finally, since there is a total of 30 businesses, the number of businesses that did not report a net profit and did not invest in foreign markets is 30 - (21- x + x + 15 - x) = x - 6.
Determine the value of x - 6, or equivalently, the value of x.

(1) It is given that 12 = x; SUFFICIENT.
(2) It is given that 24 = (21 - x) + x + (15 - x). Therefore, 24 = 36 - x, or x = 12. Alternatively, the information given is exactly the number of businesses that are not among those to be counted in answering the question posed in the problem, and therefore the number of businesses that are to be counted is 30 - 24 = 6; SUFFICIENT.
The correct answer is D
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Community Answer
Last year in a group of 30 businesses, 21 reported a net profit and 15...
Consider the Venn diagram below in which x represents the number of businesses that reported a net profit and had investments in foreign markets. Since 21 businesses reported a net profit, 21 - x businesses reported a net profit only. Since 15 businesses had investments in foreign markets, 15 - x businesses had investments in foreign markets only. Finally, since there is a total of 30 businesses, the number of businesses that did not report a net profit and did not invest in foreign markets is 30 - (21- x + x + 15 - x) = x - 6.
Determine the value of x - 6, or equivalently, the value of x.

(1) It is given that 12 = x; SUFFICIENT.
(2) It is given that 24 = (21 - x) + x + (15 - x). Therefore, 24 = 36 - x, or x = 12. Alternatively, the information given is exactly the number of businesses that are not among those to be counted in answering the question posed in the problem, and therefore the number of businesses that are to be counted is 30 - 24 = 6; SUFFICIENT.
The correct answer is D
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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?Statement 1:Last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.Statement 2:Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'D'. Can you explain this answer?
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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?Statement 1:Last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.Statement 2:Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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?Statement 1:Last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.Statement 2:Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?Statement 1:Last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.Statement 2:Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'D'. Can you explain this answer?.
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How many of the businesses did not report a net profit nor invest in foreign markets last year?Statement 1:Last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.Statement 2:Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'D'. 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How many of the businesses did not report a net profit nor invest in foreign markets last year?Statement 1:Last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.Statement 2:Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'D'. 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How many of the businesses did not report a net profit nor invest in foreign markets last year?Statement 1:Last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.Statement 2:Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.Correct answer is option 'D'. 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