Which of the following statements are contradictory to each other?

A. All human beings are mortal.

B. No human beings are mortal.

C. Some human beings are mortal.

D. Some human beings are not mortal.

Choose the most appropriate answer from the options given below: 

The correct answer is A and D only
Important PointsStatements A and D are contradictory to each other.

A. "All human beings are mortal" asserts that every human being is subject to death, implying that mortality is a universal characteristic of human beings.

D. "Some human beings are not mortal" suggests the existence of human beings who are not subject to death, contradicting the concept of mortality.

• These two statements present opposing claims about the mortality of human beings, creating a contradiction.

Statements B and C do not directly contradict statement A.

• B. "No human beings are mortal" contradicts the common understanding that human beings are subject to death. However, it does not directly oppose statement A, which acknowledges the mortality of human beings.

C. "Some human beings are mortal" is consistent with statement A,

• as it acknowledges the existence of mortal human beings. It does not contradict statement A, but rather complements it by emphasizing that not all human beings need to be mortal for the statement to hold true.

Therefore, the only contradictory statements are A and D.