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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 are seen 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 U are M
II. All M are J.
Conclusions:
I. All J are U.
II. Some U are J.
III. Some M are U.

Option 1: Only conclusion III follows

Option 2: Both conclusions I and III follow

Option 3: Only conclusion II follows

Option 4: Both conclusions II and III follow


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

Correct Answer: Both conclusions II and III follow


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

Let's analyse the conclusions –
Conclusion (I): All J are U – From the Venn diagram, we can see that the two circles representing J and U overlap and have a part of their area in common. So, this conclusion does not follow.
Conclusion (II): Some U are J – From the Venn diagram, we can see that the two circles representing U and J overlap and have a part of their area in common. So, this conclusion follows.
Conclusion (III): Some M are U – From the Venn diagram, we can see that the two circles representing M and U overlap and have a part of their area in common. So, this conclusion follows.

So, the only conclusions II and III follow. Hence, the fourth option is correct.

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