Question

There were 50 faculty members 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 member 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

Answer 1

(d) Question does not say anything about the gendercomposition of the group invited for party. Further, we donot know which specific female faculty know music. So either all in party were males, or some males and some females who did not know music were present in the party. So (d) is definitely correct