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:
No ties are pants.
All pants are shirts.
All ties are shirts.
Conclusions:
I. Some shirts are ties.
II. Some shirts are pants.
III. Some ties are shirts.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. All conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some shirts are ties → True (As all ties are shirts, so, some shirts are ties is also true.)
II. Some shirts are pants → True (As all pants are shirts, so, some shirts are pants is also true.)
III. Some ties are shirts → True (As all ties are shirts, so, some ties are shirts is also true.)
Hence, All conclusions follow.