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:
Some black are red.
Some red are cups.
Some cups are plates.
Conclusions:
I. All black are cups.
II. Some black are plates.
III. No black is a plate.
Option 1: Both I and II
Option 2: Only III
Option 3: All conclusions follow
Option 4: None follows
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Correct Answer: None follows
Solution : The Venn diagram is as follows –
Let's analyse the conclusions –
Conclusion (I):
All black are cups – From the Venn diagram, there is no direct relation between black and cup. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
Conclusion (II):
Some black are plates – From the Venn diagram, there is no direct relation between black and plate. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
Conclusion (III):
No black is a plate – From the Venn diagram, there is no direct relation between black and plate. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
So, none of the conclusions follows. Hence, the fourth option is correct.
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