Which of the following statements are logically equivalent? A. All non-bovines…
2026
Which of the following statements are logically equivalent?
A. All non-bovines are cats
B. No cats are bovines
C. All cats are non-bovines
D. No bovines are cats
Choose the correct answer from the options given below:
- A.
B, C and D Only
- B.
A and C Only
- C.
B and D Only
- D.
A, B and C Only
Attempted by 13 students.
Show answer & explanation
Correct answer: A
Statements B, C, and D are logically equivalent. 'No cats are bovines' (B) means the set of cats and bovines have no overlap.
This is equivalent to 'All cats are non-bovines' (C) and 'No bovines are cats' (D).
Statement A ('All non-bovines are cats') is not equivalent as it makes a claim about all things that are not bovines, which is a different logical scope.