Two statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All bottles are utensils.
All kitchens are utensils.
Conclusions:
I. No bottle is a kitchen.
II. Some bottles are kitchens.
III. No utensil is a bottle.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Either conclusion I or II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No bottle is a kitchen → False (It is possible but no definite conclusion can be drawn.)
II. Some bottles are kitchens → False (It is possible but no definite conclusion can be drawn.)
III. No utensil is a bottle → False (As all bottles are utensils, so, some utensils are bottles. Hence, no utensil is a bottle is not true. )
Hence, Either conclusion I or II follows.