Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
1. No bottle is a pen.
2. All jugs are bottles.
Conclusions:
I. Some jugs are pens.
II. No jug is pen.
III. Some bottles are jugs.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e Only conclusions II and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some jugs are pens: False (All jugs are bottles and no bottle is a pen, which implies No jug is a Pen).
II. No jug is pen: True (All jugs are bottles and no bottle is a pen, which implies No jug is a Pen).
III. Some bottles are jugs: True (As, All jugs are part of bottles, so some bottles are jugs is true).
Hence, the correct answer is Only conclusions II and III follow.