Question : Directions: In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all conclusions and then decide which of the given conclusions logically follows from the given statements.
Statements:
I. Some cups are plates.
II. No cup is a pencil.
Conclusions:
I. No plate is a pencil.
II. Some plates are pencils.
III. Some pencils are cups.
Option 1: Only I
Option 2: Only II
Option 3: Both I and II
Option 4: No conclusion follows
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Correct Answer: No conclusion follows
Solution : The Venn diagram is as follows –
Let's analyse the conclusions –
Conclusion I:
No plate is a pencil – From the above Venn diagram, it is evident that there is no direct relation between the plate and the pencil. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
Conclusion II:
Some plates are pencils – From the above Venn diagram, it is evident that there is no direct relation between the plate and the pencil. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
Conclusion III:
Some pencils are cups – From the above Venn diagram, it is evident that there is a direct negative relation between pencils and cups. So, no positive relation can be drawn. Therefore, this conclusion does not follow.
Thus, none of the conclusions follows. Hence, the fourth option is correct.
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