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Four men and three women make up a seven-member committee. The committee has one male captain and one female captain. If all seven committee members are seated in a straight row of seven chairs, does at least one man sit next to another man?
(1) No woman sits next to another woman.
(2) The captains sit in the first and seventh chairs.
  • 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 'B'. Can you explain this answer?
Most Upvoted Answer
Four men and three women make up a seven-member committee. The committ...
We have four men and three women, and they need to be seated in a row of seven chairs. Since the committee has one male captain and one female captain, we know that these two individuals will occupy the first and seventh chairs. The remaining five members will fill the chairs in between.
Statement (1) tells us that no woman sits next to another woman. This means that the three women cannot be seated consecutively. Let's consider the possibilities:
  • If we have three consecutive chairs occupied by women, the only option is to have men sitting on both sides. For example: M W W W M M M. In this case, at least one man sits next to another man.
  • If we have two consecutive chairs occupied by women, there will be two options: W W M W M M M or M W W M W M M. In both cases, at least one man sits next to another man.
  • If we have one chair occupied by a woman, there will be three options: W M W M W M M, M W M W M W M, or M M W M W M W. In all three cases, at least one man sits next to another man.
  • If there are no consecutive chairs occupied by women, there will be several possibilities. However, in all these cases, there will still be at least one man sitting next to another man.
Therefore, statement (1) alone is sufficient to conclude that at least one man sits next to another man.
Now let's consider statement (2). It states that the captains sit in the first and seventh chairs. Based on this information, we know the specific positions of two individuals. However, it doesn't provide any information about the arrangement of the remaining committee members. Therefore, statement (2) alone is not sufficient to answer the question.
Since statement (1) alone is sufficient, but statement (2) alone is not sufficient, the answer is (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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Community Answer
Four men and three women make up a seven-member committee. The committ...
We have four men and three women, and they need to be seated in a row of seven chairs. Since the committee has one male captain and one female captain, we know that these two individuals will occupy the first and seventh chairs. The remaining five members will fill the chairs in between.
Statement (1) tells us that no woman sits next to another woman. This means that the three women cannot be seated consecutively. Let's consider the possibilities:
  • If we have three consecutive chairs occupied by women, the only option is to have men sitting on both sides. For example: M W W W M M M. In this case, at least one man sits next to another man.
  • If we have two consecutive chairs occupied by women, there will be two options: W W M W M M M or M W W M W M M. In both cases, at least one man sits next to another man.
  • If we have one chair occupied by a woman, there will be three options: W M W M W M M, M W M W M W M, or M M W M W M W. In all three cases, at least one man sits next to another man.
  • If there are no consecutive chairs occupied by women, there will be several possibilities. However, in all these cases, there will still be at least one man sitting next to another man.
Therefore, statement (1) alone is sufficient to conclude that at least one man sits next to another man.
Now let's consider statement (2). It states that the captains sit in the first and seventh chairs. Based on this information, we know the specific positions of two individuals. However, it doesn't provide any information about the arrangement of the remaining committee members. Therefore, statement (2) alone is not sufficient to answer the question.
Since statement (1) alone is sufficient, but statement (2) alone is not sufficient, the answer is (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
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Four men and three women make up a seven-member committee. The committee has one male captain and one female captain. If all seven committee members are seated in a straight row of seven chairs, does at least one man sit next to another man?(1) No woman sits next to another woman.(2) The captains sit in the first and seventh chairs.a)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 'B'. Can you explain this answer?
Question Description
Four men and three women make up a seven-member committee. The committee has one male captain and one female captain. If all seven committee members are seated in a straight row of seven chairs, does at least one man sit next to another man?(1) No woman sits next to another woman.(2) The captains sit in the first and seventh chairs.a)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 'B'. 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 Four men and three women make up a seven-member committee. The committee has one male captain and one female captain. If all seven committee members are seated in a straight row of seven chairs, does at least one man sit next to another man?(1) No woman sits next to another woman.(2) The captains sit in the first and seventh chairs.a)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 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four men and three women make up a seven-member committee. The committee has one male captain and one female captain. If all seven committee members are seated in a straight row of seven chairs, does at least one man sit next to another man?(1) No woman sits next to another woman.(2) The captains sit in the first and seventh chairs.a)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 'B'. Can you explain this answer?.
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