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 conclusions logically follow the given statements.
Statements:
I. All Z is Y.
II. Some Y is B.
Conclusions:
I. Some B is not Z.
II. Some Y is not Z.
III. Some Z is Y.

Option 1: Both conclusions II and III follow

Option 2: Both conclusions I and III follow

Option 3: Only conclusion III follows

Option 4: All conclusions follow


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: Only conclusion III follows


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

Let's analyse the conclusions –
Conclusion I: Some B is not Z – From the Venn diagram, it is evident that there is no direct relation between B and Z. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion II: Some Y is not Z – It is a possibility that the circle representing Y is not completely overlapped by the circle representing Z. But this is not definite. Thus, this conclusion does not follow.
Conclusion III: Some Z is Y – From the Venn diagram, it is evident that the circle representing Z is completely overlapped by the circle representing Y. Since all Z are Y, so some Z will definitely be Y. Thus, this conclusion follows.

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

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