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 rice are wheat.
Some wheats are pulses. No pulse is a vegetable.
Conclusions:
I. Some vegetables are rice.
II. Some pulses are rice.
III. Some vegetables are wheat.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. None of the conclusions follow.
The least possible diagram is shown below:
Conclusions:
I. Some vegetables are rice → Does not follow (This conclusion does not follow as all rice are wheat and some wheats are pulses and no pulse is a vegetable so, this means some vegetables are rice is false.)
II. Some pulses are rice → Does not follow (This conclusion also does not follow as all rice are wheat and some wheats are pulses so, this means some pulses are rice is false.)
III. Some vegetables are wheat → Does not follow (This conclusion also does not follow as all rice are wheat and some wheats are pulses and no pulse is a vegetable so, this means some vegetables are wheat is false.)
Hence, none of the conclusions follow is the correct answer.