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:
Some fans are big.
All big are coats.
Some coats are flat.
Conclusions:
I. All fans are big.
II. Some coats are big.
III. Some flats are coats
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. Both conclusions II and III follow
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All fans are big → False (It is possible but no definite conclusion can be drawn.)
II. Some coats are big → True (As all big are coats, so, some coats are big is also true.)
III. Some flats are coats → True (As some coats are flats, so, some flats are coats is also true.)
Hence, Both conclusions II and III follow.