Three statements are given:

Some rats are mouse.

No mouse is a rodent.

Some rats are kittens.

Three conclusions are given:

I. No rodent is a kitten.

II. Some rats are rodent.

III. No kitten is a mouse.

Assuming the statements to be true, decide which of the conclusions logically follow(s) from the statements.

Question

Three statements are given:

Some rats are mouse.

No mouse is a rodent.

Some rats are kittens.

Three conclusions are given:

I. No rodent is a kitten.

II. Some rats are rodent.

III. No kitten is a mouse.

Assuming the statements to be true, decide which of the conclusions logically follow(s) from the statements.

Accepted Answer

Let's analyze the statements and conclusions step-by-step:

Statements:
1. Some rats are mouse. (So, there is some overlap between rats and mouse.)
2. No mouse is a rodent. (So, mouse and rodent are completely separate sets.)
3. Some rats are kittens. (So, there is some overlap between rats and kittens.)

Conclusions:
I. No rodent is a kitten.
- From the statements, we know that no mouse is a rodent, but nothing is said about the relationship between kittens and rodents. Some rats are kittens, but rats could or could not be rodents; we don't know. So, this conclusion does not follow.

II. Some rats are rodent.
- There is no direct or indirect statement linking rats to rodents. Some rats are mouse, and some rats are kittens, but nothing about rats being rodents. So, this does not follow.

III. No kitten is a mouse.
- The statements say some rats are kittens and some rats are mouse, but do not say that kittens and mouse are mutually exclusive. It's possible that some rats are both kittens and mouse. So, this conclusion does not follow.

Therefore, none of the conclusions logically follow from the given statements.

Correct answer: Neither conclusion follows.

Answer

Answer

Answer