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Question

Statements: Some rats are cats. Some cats are dogs. No dog is cow.
Conclusions:I. No cow is cat.
II. No dog is rat.
III. Some cats are rats.


A
None follows
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B
Only I and II follow
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C
Only II and III follow
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D
Only III follows
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E
All I, II and III follow
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Solution

The correct option is E Only III follows
III is the converse of the first premise and so it holds.
Some rats are cats. Some cats are dogs.
Since both the premises are particular, no definite conclusion follows.
Some cats are dogs. No dog is cow.
Since one premise is particular and the other negative, the conclusion must be particular negative (O-type) and should not contain the middle term. So, it follows that 'Some cats are not cows'.

Logical Reasoning

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