Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance with commonly known facts, read all the conclusions and decide which of them logically follows from the given statements.
Statements:
All ears are hands.
No hand is a nose.
Conclusions:
I. No ear is a nose.
II. All noses are ears.
III. Some hands are noses.
Option 1: Only I
Option 2: Only II
Option 3: Only III
Option 4: None follows
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Correct Answer: Only I
Solution : The Venn diagram is as follows –
Let's analyse the conclusions –
Conclusion (I):
No ear is a nose – The circle that represents the ear lies inside the circle that represents hands, and as per the second statement no hand is a nose. This means that no ear is a nose. Therefore, this conclusion follows.
Conclusion (II):
All noses are ears – The circle that represents the ear lies inside the circle that represents hands, and no hand is nose. This means that no ear is a nose. Therefore, this conclusion does not follow.
Conclusion (III):
Some hands are noses – From the given statements, it is clear that no hand is a nose. Therefore, this conclusion does not follow.
So, only conclusion (I) follows. Hence, the first option is correct.
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