Which of the following statements are contradictory of each other?

A. All human beings are mortal.

B. Some human beings are not mortal.

C. Some human beings are mortal.

D. No human beings are mortal.

Choose the correct answer from the options given below:

The correct answer is A and B only.

Key Points Let's break down the contradictory statements in more detail:

Statement A: "All human beings are mortal."

• This statement asserts that every single human being is subject to mortality, meaning that death is an inevitable fate for all humans. It is a general statement that encompasses the entire population of human beings.

Statement B: "Some human beings are not mortal."

• This statement contradicts statement A by suggesting that there are human beings who are not subject to mortality. It implies the existence of at least one or more individuals who do not experience death or are exempt from the usual fate of mortality.

The contradictory nature of these statements arises from their opposing claims regarding the mortality of human beings.

Statement A claims that all humans are mortal, while statement B suggests the existence of humans who are not subject to mortality.

Logically, if statement A is true (that all human beings are mortal), then statement B must be false.

Conversely, if statement B is true (that some human beings are not mortal), then statement A must be false.

It is important to note that these two statements cannot both be simultaneously true because they present conflicting claims about the nature of mortality among human beings.

Therefore, A and B are contradictory statements.