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