Question

Examine the following statements:

1. None but students are members of the club

2. Some members of the club are married persons.

3. All married persons are invited for dance,

Which one of the following conclusions can be drawn from the above statements?

1. All students are invited for dance.
2. All married students of the club are invited for dance.
3. All members of the club are married persons.
4. None of the above conclusions can be drawn.

Answer 1

Correct Answer - Option 2 : All married students of the club are invited for dance.

Given Statements:

1. None but students are members of the club. 

2. Some members of the club are married persons.

3. All married persons are invited for dance,

Let us examine each conclusion:

i) All students are invited for dance. → False (as statement 1 and 2 imply that "some" students are invited for dance, we cannot conclude anything about all the students) 

ii) All married students of the club are invited for dance. → True (because all married people are invited and some students of the club are married )

iii) All members of the club are married persons. → False (it is possible but not definite)

iv) None of the above conclusions can be drawn. → False (as conclusion ii) can be drawn)

Hence, 'All married students of the club are invited for dance.' is the correct answer.