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Question

Which alternatives applies to the given statements and its conclusions?

Statements
Some doctors are teachers.
All teachers are counsellors.

Conclusions
I. Some counsellors are not teachers.
II. Some doctors are counsellors

A
Only conclusion I follows
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B
Only conclusion II follows
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C
Both conclusion I and II follow
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D
Neither conclusion I nor II follows
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E
Either conclusion I and II follow
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Solution

The correct option is B Only conclusion II follows
The first premise is particular affirmative (I-type).
The second premise is universal affirmative (a-type).
Both the premises are already aligned. Thus,
Some doctors are teachers
All teachers are counsellors.
We know that,
I+A I -type conclusion.
Therefore, our derived conclusion would be:
Some doctors are counsellors. Thus, only conclusion II follows.

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