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 towels are cloths.
No cloth is a blanket.
Some blankets are cushions.
Conclusions:
I. Some towels are cushions.
II. No cushion is a cloth.
III. No towel is a blanket.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusion III follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some towels are cushions → False (It is possible, but no definite conclusion can be drawn.)
II. No cushion is a cloth → False (It is possible, but no definite conclusion can be drawn.)
III. No towel is a blanket → True (As all towels are cloths and no cloth is a blanket, so no towel is a blanket is true.)