Dirtections: 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 follow(s) from the statements.
Statements:
All dogs are cats.
No cat is a rat.
Conclusions:
I. Some rats are cats.
II. Some dogs are rats.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Neither conclusion I nor II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some rats are cats → False (As no cat is a rat so, no rats are cats.)
II. Some dogs are rats → False (As no cat is a rat and all dogs are cats so, no dogs are rats.)
Hence, Neither conclusion I nor II follows.