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 pencils are pens.
II. Some pens are rubber.
Conclusion:
I. All rubber are pencil.
II. Some pens are not pencils.
III. Some rubber are not pen.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Neither conclusion follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All rubber are pencil → False (It is possible, but no definite conclusion can be drawn).
II. Some pens are not pencils → False (It is possible, but no definite conclusion can be drawn).
III. Some rubber are not pen → False (It is possible, but no definite conclusion can be drawn).