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Question

Examine the following statements:
(i) None but students are members of the club.
(ii) Some members of the club are married persons.
(iii) All married persons are invited for dance.
Which one of the following conclusions can be drawn from the above statements ?

A
All students are invited to the dance.
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B
All married students of the club are invited to the dance.
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C
All members of the club are married persons.
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D
None of the above conclusions can be drawn.
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Solution

The correct option is B All married students of the club are invited to the dance.
Statement I : None but students are members of club [A]
Another format of statement I : All statements are members of dub [A]
Statement II: Some members of club are married persons [I]
Conclusion: A+I=I type
Some students are married persons.
From this conclusion, option (1) and (3) are invalid. Option (2) is valid as married persons are invited for dance necessarily follows that all married students will be invited to the dance.

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