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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 P.
All R is Q.
Conclusions:
I. No P is Q.
II. No R is P.

Option 1: Neither conclusion (I) nor (II) follows

Option 2: Only conclusion (II) follows

Option 3: Both conclusions (I) and (II) follow

Option 4: Only conclusion (I) follows


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: Neither conclusion (I) nor (II) follows


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

Let's analyse the conclusions –
Conclusion (I): No P is Q – From the Venn diagram, it is evident that the two circles representing P and Q overlap and have a part of their area in common. So, this conclusion does not follow.
Conclusion (II): No R is P – From the Venn diagram, it is evident that the circle representing R is completely overlapped by the circle representing P. So, this conclusion does not follow.

So, neither conclusion (I) nor (II) follows. Hence, the first option is correct.

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