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 hands are fingers.
All legs are fingers.
All fingers are toes.
Conclusions:
I. All toes are fingers.
II. Some toes are hands.
III. Some toes are legs.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Only conclusions II and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All toes are fingers → False (It is possible but no definite conclusion can be drawn.)
II. Some toes are hands → True (As all hands are fingers, all legs are fingers, and all fingers are toes, so, some toes are hands is also true.)
III. Some toes are legs → True (As all hands are fingers, all legs are fingers, and all fingers are toes, so, some toes are legs is also true.)