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 huts are houses.
No villa is a house.
Some buildings are villas.
Conclusions:
I. Some buildings are huts.
II. Some houses are buildings.
III. No hut is a villa.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusion III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some buildings are huts → False (It is possible, but no definite conclusion can be drawn.)
II. Some houses are buildings → False (It is possible, but no definite conclusion can be drawn.)
III. No hut is a villa → True (As all huts are houses, and no villa is a house so, no hut is a villa.)