50 संकाय-सदस्य थे, जिनमें 30 पुरुष तथा शेष स्त्रियां थीं। कोई भी पुरुष संकाय-सदस्य संगीत नहीं जानता था, लेकिन अनेक स्त्री संकाय-सदस्यों को संगीत की जानकारी थी। उस संस्था के अध्यक्ष ने लाटरी द्वारा छ: संकाय-सदस्यों को चाय-पार्ती पर निम्मित किया। पार्टी के समय यह पता चला कि कोई भी सदस्य संगीत नहीं जानता है। निष्कर्ष निकलता है कि
सही उत्तर (A) (a) the party comprised male faculty members only है।
व्याख्या:
Let us analyze the details provided: Total faculty members = 50. Male faculty members = 30. Female faculty members = 50 - 30 = 20. We are given that no male faculty member knew music, while many female faculty members knew music. This implies that the set of people who do not know music includes all 30 males, plus some subset of females (since "many" know music, implying some do not). Six faculty members were invited by a random draw of lots. At the party, it was discovered that none of the six members knew music. Since both males and certain females do not know music, the selection of six non-music-knowing members could consist entirely of males, entirely of those females who do not know music, or any combination of both. Because the draw was completely random, and we do not have specific details about which individuals were selected, we cannot definitively determine the exact gender composition of the guests. Thus, option (d) is the correct answer.
In English (Question & Model Answer)
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 :
The correct answer is (A) (a) the party comprised male faculty members only.
Explanation:
Let us analyze the details provided: Total faculty members = 50. Male faculty members = 30. Female faculty members = 50 - 30 = 20. We are given that no male faculty member knew music, while many female faculty members knew music. This implies that the set of people who do not know music includes all 30 males, plus some subset of females (since "many" know music, implying some do not). Six faculty members were invited by a random draw of lots. At the party, it was discovered that none of the six members knew music. Since both males and certain females do not know music, the selection of six non-music-knowing members could consist entirely of males, entirely of those females who do not know music, or any combination of both. Because the draw was completely random, and we do not have specific details about which individuals were selected, we cannot definitively determine the exact gender composition of the guests. Thus, option (d) is the correct answer.