Which of the following statements are true regarding contrary propositions? A)…
2024
Which of the following statements are true regarding contrary propositions?
A) They cannot both be true
B) They cannot both be false
C) They can both be false
D) If one is true the other must be false
- A.
(B) and (C) Only
- B.
(A), (B) and (C) Only
- C.
(A), (C) and (D) Only
- D.
(D) Only
Attempted by 10 students.
Show answer & explanation
Correct answer: C
Contrary propositions, such as universal affirmatives (All S are P) and universal negatives (No S are P), cannot both be true simultaneously.
If one proposition is true, the other must be false. Therefore, statement (A) and statement (D) are correct.
However, contrary propositions can both be false if the particular propositions (Some S are P and Some S are not P) are true. Thus, statement (C) is correct and statement (B) is incorrect.
Consequently, the true statements regarding contrary propositions are (A), (C), and (D).