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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:
I. Some M are N.
II. No J is N.
Conclusions:
I. No N is J.
II. Some N are M.
III. All J are M.

Option 1: Both conclusions I and III follow

Option 2: Only conclusion II follows

Option 3: Both conclusions I and II follow

Option 4: Both conclusions II and III follow


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: Both conclusions I and II follow


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


Let's analyse the conclusions –
Conclusion (I): No N is J – From the Venn diagram, it is evident that there is a negative relation between N and J. Thus, it can be concluded that no N is J.
Conclusion (II): Some N are M – From the Venn diagram, it is evident that the circles representing N and M overlap and have some parts of their area in common. Thus, it can be concluded that some N are M.
Conclusion (III): All J are M – From the Venn diagram, it is evident that there is no definite relation between J and M. Thus, this conclusion does not follow.

So, both conclusions I and II follow. Hence, the third option is correct.

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