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:
1. All rugs are blankets.
2. All blankets are pillows.
3. Some blankets are frames.
Conclusions:
I. All pillows are rugs.
II. Some pillows are rugs.
III. All rugs are frames.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. Only Conclusion II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All pillows are rugs→ False (As all rugs are blankets and all blankets are pillows so, some pillows are rugs.)
II. Some pillows are rugs → True (As all rugs are blankets and all blankets are pillows so, some pillows are rugs.)
III. All rugs are frames→ False (It is possible but no definite conclusion can be drawn.)
Hence, Only conclusion II follows.