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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
All leaves are inks.
No ink is a brush.
All cakes are brushes.

Conclusions
I. Some cakes are leaves.
II. Some inks are cakes.
III. Some inks are leaves.
IV. Some cakes are brushes.

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

The correct option is D Both III and IV follow
Mediate term of the following statement is
All leaves are links (A-type)
No ink is brush (E-type)
A+EEtype
No leave is a brush.
In the statement,
All leaves are inks
Conversion
Some inks are leaves
(Conclusion III follows)
And, in the statement
All cakes are brushes
Some cakes are brushes
(Conclusion IV follows)
Another mediate term can be possible by
arranging the statements in the correct order
No ink is a brush
Conversion
No brush is ink
All cakes are brushes (A-type)
No brush is ink. (E-type)
A+EEtype
No cakes are ink.

Only conclusion III and IV follow.

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