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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 A is M.
No M is B.
Conclusions:
I. Some M is A.
II. Some B is M.
III. Some A is B.

Option 1: Both conclusions I and III follow

Option 2: Both conclusions II and III follow

Option 3: Only conclusion I follows

Option 4: Only conclusion II follows


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: Only conclusion I follows


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

Let's analyse the conclusions –
Conclusion (I): Some M is A – From the Venn diagram, it is evident that some parts of the circle representing M lie outside the circle representing A while some lie inside. So, it can be concluded that some M is A.
Conclusion (II): Some B is M – From the Venn diagram, it is evident that there is a negative relation between B and M. So, this conclusion does not follow.
Conclusion (III): Some A is B – From the Venn diagram, it is evident that all A are M and no M is B, so no A is B. Therefore, this conclusion does not follow.

So, the only conclusion I follows. Hence, the third option is correct.

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