Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some mats are carpets.
Some carpets are blankets.
No blanket is a quilt.
Conclusions:
I. No quilt is a carpet.
II. No blanket is a mat.
III. Some carpets are mats.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Only conclusion III follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No quilt is a carpet → False (It is possible but no definite conclusion can be drawn).
II. No blanket is a mat → False (It is possible but no definite conclusion can be drawn).
III. Some carpets are mats → True (As some mats are carpets, so, some carpets are mats).
Hence, Only conclusion III follows.