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 sheet is a pillow.
Some pillows are blankets.
All blankets are rugs.
Conclusions:
I. Some pillows are rugs.
II. All blankets can never be sheets.
III. Some rugs are sheets.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Only conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some pillows are rugs → True (As some pillows are blankets, and all blankets are rugs, so, some pillows are rugs is also true.)
II. All blankets can never be sheets → True (As some pillows are blankets, all blankets are rugs, and no sheet is a pillow, so, all blankets can never be sheets is also true.)
III. Some rugs are sheets → False (It is possible, but no definite conclusion can be drawn.)
Hence, Only conclusions I and II follow.