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Question

In each question below are three statements followed by two conclusions numbered I and II. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.

Statements
All windows are houses.
All roads are houses.
Some houses are hills.

Conclusions
I. Some hills are windows.
II. Now hill is a window.

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

The correct option is D Neither I nor II follows
The first and second premises are universal affirmative (A- type).
The third premise is a particular affirmative (I-type).
All windows are houses.
Some houses are hills.
A+I No conclusion.
Conclusions I and II form a complementary pair.
Therefore, either conclusion I or conclusion II follows.

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