Three statements are given followed by two conclusions numbered I and I. Assuming the statements to be true, even if they seem to be at variance with common known facts, decide which of the conclusions logically follow(s) from the statements.
Statement I: All pens are stationery items.
Statement II: Some stationery items are rubbers.
Statement III: All markers are pens.
Conclusion I: Some stationery items are not rubbers.
Conclusion II: Some markers are not stationary items.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Neither conclusion I nor II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some stationery items are not rubbers → False (It is possible, but no definite conclusion can be drawn.)
II. Some markers are not stationary items → False (It is possible, but no definite conclusion can be drawn.)
Hence, Neither conclusion I nor II follows.