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Question

Statements: All actors are dancers.
No dancer is a singer.
Some singers are musicians.
Conclusions: I. No musician is a dancer.
II. Some dancers being musicians is a possibility.

A
if only conclusion I follows.
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B
if only conclusion II follows.
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C
if either conclusion I or conclusion II follows.
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D
if neither conclusion I nor conclusion II follows.
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E
if both conclusion I and conclusion II follow.
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Solution

The correct option is A if only conclusion II follows.
There are two cases possible.
Some M can be D.
This is a possibility but not always true.
Some D can be M.
This is a possibility but not always true.
Thus only conclusion II is correct.
Hence, Option B is correct.

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