Three 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 tops are bottoms.
All pullovers are bottoms.
All bottoms are pants.
Conclusions:
I. All pullovers are pants.
II. All pants are tops.
III. Some pants are pullovers.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Only conclusions I and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All pullovers are pants → True (As all pullovers are bottoms, and all bottoms are pants, so, all pullovers are pants is also true.)
II. All pants are tops → False (It is possible, but no definite conclusion can be drawn.)
III. Some pants are pullovers → True (As all pullovers are bottoms, and all bottoms are pants, so, some pants are pullovers is also true.)
Hence, Only conclusions I and III follow.