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There were 50 faculty member comprising 30 males and the rest females. No male faculty member knew music, but many of the female faculty members did.
The Head of the institution invited six faculty members to a tea party by draw of lots. At the party it was discovered that no members knew music. The conclusion is that:
The Head of the institution invited six faculty members to a tea party by draw of lots. At the party it was discovered that no members knew music. The conclusion is that:
- a)the party comprised male faculty members only
- b)the party comprised only those female faculty members who could not give renderings in music
- c)the party comprised both male and female faculty members
- d)nothing can be said about the gender composition of the party
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
There were 50 faculty member comprising 30 males and the rest females....
Question does not say anything about the gender composition of the group invited for the party. Further, we don't know which specific female faculty know music. So either all in the party were males, or some males and some females who did not know music were present in the party. So (d) is definitely correct.
Most Upvoted Answer
There were 50 faculty member comprising 30 males and the rest females....
Understanding the problem:
The problem states that there are 50 faculty members, out of which 30 are male and the rest are female. It is also mentioned that no male faculty members know music, but some female faculty members do. The Head of the institution randomly invites six faculty members to a tea party. At the party, it is discovered that none of the members know music. The task is to determine the composition of the party, whether it was all male, all female, or a mix of both.
Analysis:
To solve this problem, we need to consider the given information and draw logical conclusions based on it.
Key Information:
- There are 50 faculty members in total.
- 30 faculty members are male.
- The remaining faculty members are female.
- No male faculty members know music.
- Some female faculty members know music.
- Six faculty members are invited to the tea party.
- None of the members at the party know music.
Solution Approach:
We can analyze the given information step by step to arrive at the correct conclusion.
Step 1: Determine the number of female faculty members:
Since there are 50 faculty members in total and 30 of them are male, the remaining faculty members must be female.
Number of female faculty members = Total faculty members - Number of male faculty members
Number of female faculty members = 50 - 30 = 20
Step 2: Determine the number of female faculty members who know music:
It is given that some female faculty members know music, but no male faculty members know music.
Since none of the members at the party know music, it implies that all the female faculty members who know music were not invited.
Therefore, the number of female faculty members at the party who know music is 0.
Step 3: Determine the possible compositions of the tea party:
Based on the information obtained from steps 1 and 2, we can determine the possible compositions of the party:
- If the party comprised male faculty members only, then all 6 members should be male. However, since no male faculty members know music, this option is not possible.
- If the party comprised only those female faculty members who could not give renderings in music, then all 6 members should be female. However, since no female faculty members who know music were invited, this option is not possible.
- If the party comprised both male and female faculty members, then the composition can be a mix of male and female members. However, since no members at the party know music, it is not possible to determine the gender composition of the party.
Conclusion:
Based on the analysis, the correct answer is option 'D' - nothing can be said about the gender composition of the party.
The problem states that there are 50 faculty members, out of which 30 are male and the rest are female. It is also mentioned that no male faculty members know music, but some female faculty members do. The Head of the institution randomly invites six faculty members to a tea party. At the party, it is discovered that none of the members know music. The task is to determine the composition of the party, whether it was all male, all female, or a mix of both.
Analysis:
To solve this problem, we need to consider the given information and draw logical conclusions based on it.
Key Information:
- There are 50 faculty members in total.
- 30 faculty members are male.
- The remaining faculty members are female.
- No male faculty members know music.
- Some female faculty members know music.
- Six faculty members are invited to the tea party.
- None of the members at the party know music.
Solution Approach:
We can analyze the given information step by step to arrive at the correct conclusion.
Step 1: Determine the number of female faculty members:
Since there are 50 faculty members in total and 30 of them are male, the remaining faculty members must be female.
Number of female faculty members = Total faculty members - Number of male faculty members
Number of female faculty members = 50 - 30 = 20
Step 2: Determine the number of female faculty members who know music:
It is given that some female faculty members know music, but no male faculty members know music.
Since none of the members at the party know music, it implies that all the female faculty members who know music were not invited.
Therefore, the number of female faculty members at the party who know music is 0.
Step 3: Determine the possible compositions of the tea party:
Based on the information obtained from steps 1 and 2, we can determine the possible compositions of the party:
- If the party comprised male faculty members only, then all 6 members should be male. However, since no male faculty members know music, this option is not possible.
- If the party comprised only those female faculty members who could not give renderings in music, then all 6 members should be female. However, since no female faculty members who know music were invited, this option is not possible.
- If the party comprised both male and female faculty members, then the composition can be a mix of male and female members. However, since no members at the party know music, it is not possible to determine the gender composition of the party.
Conclusion:
Based on the analysis, the correct answer is option 'D' - nothing can be said about the gender composition of the party.
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There were 50 faculty member comprising 30 males and the rest females. No male faculty member knew music, but many of the female faculty members did.The Head of the institution invited six faculty members to a tea party by draw of lots. At the party it was discovered that no members knew music. The conclusion is that:a)the party comprised male faculty members onlyb)the party comprised only those female faculty members who could not give renderings in musicc)the party comprised both male and female faculty membersd)nothing can be said about the gender composition of the partyCorrect answer is option 'D'. Can you explain this answer?
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There were 50 faculty member comprising 30 males and the rest females. No male faculty member knew music, but many of the female faculty members did.The Head of the institution invited six faculty members to a tea party by draw of lots. At the party it was discovered that no members knew music. The conclusion is that:a)the party comprised male faculty members onlyb)the party comprised only those female faculty members who could not give renderings in musicc)the party comprised both male and female faculty membersd)nothing can be said about the gender composition of the partyCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There were 50 faculty member comprising 30 males and the rest females. No male faculty member knew music, but many of the female faculty members did.The Head of the institution invited six faculty members to a tea party by draw of lots. At the party it was discovered that no members knew music. The conclusion is that:a)the party comprised male faculty members onlyb)the party comprised only those female faculty members who could not give renderings in musicc)the party comprised both male and female faculty membersd)nothing can be said about the gender composition of the partyCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There were 50 faculty member comprising 30 males and the rest females. No male faculty member knew music, but many of the female faculty members did.The Head of the institution invited six faculty members to a tea party by draw of lots. At the party it was discovered that no members knew music. The conclusion is that:a)the party comprised male faculty members onlyb)the party comprised only those female faculty members who could not give renderings in musicc)the party comprised both male and female faculty membersd)nothing can be said about the gender composition of the partyCorrect answer is option 'D'. Can you explain this answer?.
There were 50 faculty member comprising 30 males and the rest females. No male faculty member knew music, but many of the female faculty members did.The Head of the institution invited six faculty members to a tea party by draw of lots. At the party it was discovered that no members knew music. The conclusion is that:a)the party comprised male faculty members onlyb)the party comprised only those female faculty members who could not give renderings in musicc)the party comprised both male and female faculty membersd)nothing can be said about the gender composition of the partyCorrect answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There were 50 faculty member comprising 30 males and the rest females. No male faculty member knew music, but many of the female faculty members did.The Head of the institution invited six faculty members to a tea party by draw of lots. At the party it was discovered that no members knew music. The conclusion is that:a)the party comprised male faculty members onlyb)the party comprised only those female faculty members who could not give renderings in musicc)the party comprised both male and female faculty membersd)nothing can be said about the gender composition of the partyCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There were 50 faculty member comprising 30 males and the rest females. No male faculty member knew music, but many of the female faculty members did.The Head of the institution invited six faculty members to a tea party by draw of lots. At the party it was discovered that no members knew music. The conclusion is that:a)the party comprised male faculty members onlyb)the party comprised only those female faculty members who could not give renderings in musicc)the party comprised both male and female faculty membersd)nothing can be said about the gender composition of the partyCorrect answer is option 'D'. Can you explain this answer?.
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