There were 50 faculty member comprising 30 males and the rest females No male faculty member knew mu...........

Math and Mental Ability Simplification

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 is was discovered that no members knew music. The conclusion is that:

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Complete-Test, Previous year (2016)

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the party comprised male faculty members only

the party comprised only those female faculty members who could not give renderings in music

the party comprised both male and female faculty members

nothing can be said about the gender composition of the party

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Explanation:

Question does not say anything about the gender composition of the group invited for party. Further, we do not know which specific female faculty knew music. So either all in party were males, or some males and some females who did not know music were present in the party. All options have some problem except (d) which is definitely correct.