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Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
All R is H.
Some T is R.
Conclusions:
I. All H is R.
II. All T is H.
III. No R is T.

Option 1: None of the conclusions follow

Option 2: Both conclusions I and II follow

Option 3: All conclusions follow

Option 4: Only conclusion III follows


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

Correct Answer: None of the conclusions follow


Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): All H is R – From the Venn diagram, it is evident that some parts of the circle representing H lie inside the circle representing R while some lie outside. So, this conclusion does not follow.
Conclusion (II): All T is H – From the Venn diagram, it is evident that the two circles representing T and H overlap and have a part of their area in common. So, this conclusion does not follow.
Conclusion (III): No R is T – From the Venn diagram, it is evident that the two circles representing R and T overlap and have a part of their area in common. So, this conclusion does not follow.

So, none of the conclusions follow. Hence, the first option is correct.

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