Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows (s) from the statements.
Statements :
Some cats are rats.
All rats are Mice.
Conclusions:
I. Some cats are mice.
II. Some mice are cats.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. Both conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some cats are mice → True (As some cats are rats, and all rats are mice, so, some cats are mice).
II. Some mice are cats → True (As all rats are mice, and some cats are rats, so some mice are cats).
Hence, Both conclusions I and II follow.