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:
Some rats are mouse.
No mouse is a rodent.
Some rats are kittens.
Conclusions:
I. No rodent is a kitten.
II. Some rats are rodents.
III. No kitten is a mouse.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Neither conclusion follows.
The least possible Venn Diagram is shown below:
Conclusions:
I. No rodent is a kitten: Does not follow (It is possible but not definite)
II. Some rats are rodents: Does not follow (It is possible but not definite)
III. No kitten is a mouse: Does not follow (It is possible but not definite)