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:
Some cabbages are rocks.
All rocks are wheels.
No wheel is a scissor.
Conclusions:
I. All cabbages are wheels.
II. Some rocks are wheels.
III. Some wheels are not scissors.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Both conclusions II and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All cabbages are wheels → False (It is possible, but no definite conclusion can be drawn.)
II. Some rocks are wheels → True (As all rocks are wheels, so, some rocks are wheels is also true.)
III. Some wheels are not scissors → True (As no wheel is a scissor so, some wheels are not scissors is also true.)