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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


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

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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