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 coats are pants.
All pants are shirts.
Some shirts are coats.
Conclusions:
I. No coats are shirts.
II. Some shirts are pants.
III. Some pants are coats.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Only conclusion II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No coats are shirts → Does not follow › (As, some shirt are coats. So No coats are shirts in not definitely followed).
II. Some shirts are pants- Follows › (As, All pants are shirts. So some shirts are pants is definitely followed).
III. Some pants are coats → Does not follow - (As, No coats are pants. So some pants are coats is not definitely followed).
Only conclusion Il follows.
Hence, the correct answer is 'Option 3'.