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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 conclusion logically follows the given statements.


Statements:


I. All Z are Y.


II. Some Y are B.


Conclusion:


I. Some B are not Z.


II. Some Y are not Z.


III. Some Z are Y. 

  • a)
    Only conclusion III follows 

  • b)
    Both conclusions I and III follows  

  • c)
    Both conclusions II and III follows 

  • d)
    All conclusion follows 

Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the following question below are given some statements followed by ...
Given Statements:
I. All Z are Y.
II. Some Y are B.
The least possible Venn diagram for the given statement is:
Conclusions:
Conclusion I: False ("Some B are not Z" is not true because there is no negative relation between B and Z. It may be possible but not definitely true. In syllogism, we take the definite cases as true. So this conclusion not follow.)
Conclusion II: False ("Some Y are not Z" is not true because there is no negative relation between Y and Z. It may be possible but not definitely true. So, this conclusion also not follow.)
Conclusion III: True ("Some Z are Y" is true because when all Z are Y is given then "some Z are Y" is also true. Please note that "some" is a subset of "all". For example, when all boys are male, then "some boys are male" is also true.) 
So, Only conclusion III follows.
Hence, the correct answer is "Option 3".
Community Answer
In the following question below are given some statements followed by ...
Given Statements:
I. All Z are Y.
II. Some Y are B.

Conclusions:
I. Some B are not Z.
II. Some Y are not Z.
III. Some Z are Y.

Explanation:

Conclusion I:
- From statement I, we know that all Z are Y.
- From statement II, we know that only some Y are B.
- Therefore, it is not possible to definitively conclude that some B are not Z based on the given statements. Conclusion I does not logically follow.

Conclusion II:
- From statement II, we know that some Y are B.
- Since all Z are Y, it is possible that some Y are Z as well.
- Therefore, it is not possible to definitively conclude that some Y are not Z based on the given statements. Conclusion II does not logically follow.

Conclusion III:
- From statement I, we know that all Z are Y.
- Therefore, it logically follows that some Z are Y based on the given statements. Conclusion III logically follows.

Conclusion:
Therefore, only conclusion III follows based on the given statements.
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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 conclusion logically follows the given statements.Statements:I. All Z are Y.II. Some Y are B.Conclusion:I. Some B are not Z.II. Some Y are not Z.III. Some Z are Y.a)Only conclusion III followsb)Both conclusions I and III follows c)Both conclusions II and III followsd)All conclusion followsCorrect answer is option 'C'. Can you explain this answer?
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