UPSC CSE Prelims 2012

Correct Option (B)

The conclusion that all married students of the club are invited for dance can be drawn from the given statements.

• Statement 1 establishes that all members of the club are students. This implies that any individual who is a member of the club must also be a student.
• Statement 2 indicates that a subset of these club members are married persons. Therefore, there exist individuals who are both club members and married students.
• Statement 3 explicitly states that all married persons are invited for dance.

Combining these, any person who is a married student and also a member of the club falls under the category of 'married persons' and is consequently invited for dance.

Incorrect Options:

The other options cannot be definitively concluded:

• Option (A) All students are invited for dance: This cannot be concluded. While some students (specifically, married club members) are invited, the statements do not provide information to extend this invitation to all students. Not all students are necessarily club members, nor are all students married.

• Option (C) All members of the club are married persons: This is incorrect. Statement 2 explicitly states that 'some' members of the club are married, which implies that not all members are necessarily married.

• Option (D) None of the above conclusions can be drawn: This is incorrect, as Option (B) can be logically derived from the given statements.