3
Question
Statements: All dolls are windows. All bottles are windows. All cars are bottles.
Conclusions:
I. All cars are windows.
II. Some cars are dolls.
III. Some windows are cars.
Statements: All dolls are windows. All bottles are windows. All cars are bottles.
Conclusions:
I. All cars are windows.
II. Some cars are dolls.
III. Some windows are cars.
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Solution
The correct option is D Only I and III follow
All cars are bottles. All bottles are windows.
Since both the premises are universal, the conclusion must be universal and shouldn't contain the middle term, So, it follows that 'All cars are windows'. Thus, I follows.
Also, III is the converse of this conclusion and so it holds.
All dolls are windows. All bottles are windows.
Since the middle term 'windows' is not distributed even once in the premises, no definite conclusion follows.
All cars are windows. All bottles are windows.
Again, the middle term 'windows' is not distributed even once in the premises.
So, no definite conclusion follows.
All cars are bottles. All bottles are windows.
Since both the premises are universal, the conclusion must be universal and shouldn't contain the middle term, So, it follows that 'All cars are windows'. Thus, I follows.
Also, III is the converse of this conclusion and so it holds.
All dolls are windows. All bottles are windows.
Since the middle term 'windows' is not distributed even once in the premises, no definite conclusion follows.
All cars are windows. All bottles are windows.
Again, the middle term 'windows' is not distributed even once in the premises.
So, no definite conclusion follows.
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