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Question

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

Statements
Some bricks are trees.
All trees are pens.
All pens are boats.

Conclusions
I. Some boats are bricks.
II. Some pens are bricks.
III. Some trees are bricks.
IV. Some bricks are boats.


A
None follows
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B
All follow
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C
Both I and II follow
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D
Both III and IV follow
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E
None of these
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Solution

The correct option is B All follow
Some bricks are trees
Conversion
Some trees are bricks
(Conclusion III follows)
Mediate term of the following statement is
Some bricks are trees (I-type)
All trees are pens (A-type)
I+AItype
Some bricks are pens.........(i)
Conversion some pens are bricks
(Conclusion II follows)
Another mediate term is
All trees are pens (A-type)
All pens are boats (A-type)
A+AAtype
All trees are boats.........(ii)
From Eq. (i)
Some bricks are boats
(Conclusion IV follows)
Conversion
Some boats are bricks
(Conclusion I follows)

All follow.

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