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Question

Statements: Some colleges are universities.
All colleges are schools.
All schools are hostels.
Conclusions: I. All universities can never be hostels.
II. Any university which is a college is a hostel.

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 II follows.
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D
if neither conclusion I nor II follows.
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E
if both conclusions I and II follow.
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Solution

The correct option is B if only conclusion II follows.
Fig 1 is a basic Venn diagram of Statements.
Conclusion I: It doesn't follow. This can be clearly concluded from both the figures that university and hostels are connected.
Conclusion II: It follows. As, all universities are colleges and hostels.
Answer : B

783705_764497_ans_4efd7caadd0d4b819d67c107486526f0.png

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