Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
No plum is an apricot.
All lemons are apricots.
All grapes are lemons.
Conclusions:
I. No apricot is a grape.
II. No grape is a plum.
III. No lemon is a plum.
IV. Some plums are lemons.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusions II and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No apricot is a grape → False (It is possible, but no definite conclusion can be drawn).
II. No grape is a plum → True (As no plum is an apricot, all lemons are apricots, and all grapes are lemons, so, no grape is a plum.)
III. No lemon is a plum → True (As no plum is an apricot, all lemons are apricots, so no lemon is a plum.)
IV. Some plums are lemons → False (It is possible, but no definite conclusion can be drawn).