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Question

In each of the questions below are given three statements followed by three conclusions numbered, I II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
All tables are boards.
All pens are boards.
All boards are papers.

Conclusions
I.Some pens are tables.
II. Some papers are pens.
III. No pen is a table.

A
All follow
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B
Only either I or III follows
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C
Only II follows
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D
Only either I or III and II follow
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E
None of these
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Solution

The correct option is D Only either I or III and II follow
All the three premises are universal affirmative (A-type).
All pens are boards.
All boards are papers.
A+AA-type Conclusion
Conclusion, all pens are papers.
Conclusion II is the converse of this conclusion.
All tables are boards.
All boards are papers.
Conclusion, all tables are papers.
Conclusions I and III form a complementary pair. Therefore, either conclusion I or III follows.

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