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In Madison School, 120 students are members of the chess club or drama club or both. If 50 of these students are not members of the chess club, how many of these students are members of both the chess and the drama club?
(1) 35 of the students are members of both the chess club and the forensic society
(2) 45 of the students are members of both the drama club and the forensic society
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question 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 'E'. Can you explain this answer?
Verified Answer
In Madison School, 120 students are members of the chess club or drama...
Statement (1): 35 of the students are members of both the chess club and the forensic society.
This statement provides information about the overlap between the chess club and the forensic society, but it doesn't give any information about the drama club. Without information about the drama club, we can't determine the number of students who are members of both the chess club and the drama club based on this statement alone.
Statement (2): 45 of the students are members of both the drama club and the forensic society.
This statement provides information about the overlap between the drama club and the forensic society, but it doesn't give any information about the chess club. Without information about the chess club, we can't determine the number of students who are members of both the chess club and the drama club based on this statement alone.
Since neither statement alone is sufficient to answer the question, we need to evaluate both statements together:
Even when we combine the information from both statements, we still don't have any direct information about the overlap between the chess club and the drama club. We only have information about the overlaps between each club and the forensic society. Therefore, we can't determine the number of students who are members of both the chess club and the drama club based on these two statements alone.
Hence, the correct answer is (E): Statements (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
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Most Upvoted Answer
In Madison School, 120 students are members of the chess club or drama...
Statement (1): 35 of the students are members of both the chess club and the forensic society.
This statement provides information about the overlap between the chess club and the forensic society, but it doesn't give any information about the drama club. Without information about the drama club, we can't determine the number of students who are members of both the chess club and the drama club based on this statement alone.
Statement (2): 45 of the students are members of both the drama club and the forensic society.
This statement provides information about the overlap between the drama club and the forensic society, but it doesn't give any information about the chess club. Without information about the chess club, we can't determine the number of students who are members of both the chess club and the drama club based on this statement alone.
Since neither statement alone is sufficient to answer the question, we need to evaluate both statements together:
Even when we combine the information from both statements, we still don't have any direct information about the overlap between the chess club and the drama club. We only have information about the overlaps between each club and the forensic society. Therefore, we can't determine the number of students who are members of both the chess club and the drama club based on these two statements alone.
Hence, the correct answer is (E): Statements (1) and (2) together are not sufficient to answer the question asked, and additional data are needed.
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In Madison School, 120 students are members of the chess club or drama club or both. If 50 of these students are not members of the chess club, how many of these students are members of both the chess and the drama club?(1) 35 of the students are members of both the chess club and the forensic society(2) 45 of the students are members of both the drama club and the forensic societya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?
Question Description
In Madison School, 120 students are members of the chess club or drama club or both. If 50 of these students are not members of the chess club, how many of these students are members of both the chess and the drama club?(1) 35 of the students are members of both the chess club and the forensic society(2) 45 of the students are members of both the drama club and the forensic societya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In Madison School, 120 students are members of the chess club or drama club or both. If 50 of these students are not members of the chess club, how many of these students are members of both the chess and the drama club?(1) 35 of the students are members of both the chess club and the forensic society(2) 45 of the students are members of both the drama club and the forensic societya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Madison School, 120 students are members of the chess club or drama club or both. If 50 of these students are not members of the chess club, how many of these students are members of both the chess and the drama club?(1) 35 of the students are members of both the chess club and the forensic society(2) 45 of the students are members of both the drama club and the forensic societya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?.
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If 50 of these students are not members of the chess club, how many of these students are members of both the chess and the drama club?(1) 35 of the students are members of both the chess club and the forensic society(2) 45 of the students are members of both the drama club and the forensic societya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for In Madison School, 120 students are members of the chess club or drama club or both. If 50 of these students are not members of the chess club, how many of these students are members of both the chess and the drama club?(1) 35 of the students are members of both the chess club and the forensic society(2) 45 of the students are members of both the drama club and the forensic societya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of In Madison School, 120 students are members of the chess club or drama club or both. If 50 of these students are not members of the chess club, how many of these students are members of both the chess and the drama club?(1) 35 of the students are members of both the chess club and the forensic society(2) 45 of the students are members of both the drama club and the forensic societya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. 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If 50 of these students are not members of the chess club, how many of these students are members of both the chess and the drama club?(1) 35 of the students are members of both the chess club and the forensic society(2) 45 of the students are members of both the drama club and the forensic societya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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