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Question

In each of the questions below, there are two statements along with four conclusions I, II, III, IV. Read the conclusions and decide which of the conclusions follow the statements.
Statements
Some teachers are students.
All students are girls.

Conclusions:
I. All teachers are girls.
II. Some girls are teachers.
III. Some girls are students.
IV. All students are teachers.

A

Only I follows

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B

Only I, II and III

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C

All follow

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D

Only II and III follow

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E

None of these

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Solution

The correct option is D Only II and III follow
Some teachers are students. [I]
All students are girls. [A]
I + A I-type of conclusion
Some teachers are girls
Conclusion II is the converse of it
Conclusion III is converse of the second premise
Therefore, conclusions II and III follow.

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