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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. All B is M.
II. Some J is B.
Conclusions:
I. Some M is not B.
II. No J is M.

Option 1: Both conclusions I and II follow

Option 2: Only conclusion II follows

Option 3: Neither conclusion follows

Option 4: Only conclusion I follows


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: Neither conclusion follows


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

Let's analyse the conclusions –
Conclusion I: Some M is not B – It is a possibility that some parts of the circle representing M are not overlapped by the circle representing B. But this is not definite. Thus, this conclusion does not follow.
Conclusion II: No J is M – From the Venn diagram, it is evident that the circles representing J and M overlap and have some parts of their area in common. So, from this, it can be concluded that some J is M. Thus, this conclusion does not follow.

So, neither conclusion follows. Hence, the third option is correct.

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