Question
Download Solution PDFIn 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 pencil are pen.
II. Some pen are rubber.
Conclusion:
I. All rubber are pencil.
II. Some pen are not pencil.
III. Some rubber are not pen.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe pattern followed here is:
The least possible Venn diagram is shown according to the given information.
Statements:
I. All pencil are pen.
II. Some pen are rubber.
Conclusion:
I. All rubber are pencil → Does not follow. [As all pencils are pens and some pens are rubber. So all rubber are pencil is possible but not definite followed.]
II. Some pen are not pencil → Does not follow. [As all pencils are pens and some pens are rubber. So, this conclusion is possible but not definitely followed. So Some pen are not pencil is not followed.]
III. Some rubber are not pen → Does not follow. [As all pencils are pens and some pens are rubber. . So, this conclusion is possible but not definitely followed. So some rubber are not pen is not followed.]
So, Neither conclusion follows.
Hence, the correct answer is "Option 1".
Last updated on Jul 10, 2025
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