Two 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 conclusion logically follow(s) from the statements.
Statements:
All plums are pomegranates.
Some plums are lemons.
Conclusions:
I. Some pomegranates are lemons.
II. No lemon is a pomegranate.
III. Some pomegranates are plums.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Only conclusions I and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some pomegranates are lemons → True (As all plums are pomegranates, and some plums are lemons, so, some pomegranates are lemons).
II. No lemon is a pomegranate → False (It is possible but no definite conclusion can be drawn).
III. Some pomegranates are plums → True (As all plums are pomegranates, so, some pomegranates are plums).
Hence, Only conclusions I and III follow.