Statements:No door is dog.All the dogs are cats.Conclusions:A. No door is…
2024
Statements:No door is dog.All the dogs are cats.Conclusions:A. No door is cat.B. No cat is door.C. Some cats are dogs.D. All the cats are dogs.
- A.
Only B and D
- B.
Only A and C
- C.
Only C and D
- D.
Only C
Attempted by 19 students.
Show answer & explanation
Correct answer: D
Given statements: No door is dog. All the dogs are cats.
No door is cat — Not necessarily true. Explanation: Doors are disjoint from dogs, and dogs are a subset of cats, but cats may include members that are not dogs. Doors could overlap those non-dog cats, so you cannot conclude that no door is a cat.
No cat is door — Not necessarily true. Explanation: This is the same relation as the previous statement written conversely; it does not follow for the same reason.
Some cats are dogs — Follows under the usual existence assumption. Explanation: Because all dogs are cats, any existing dog is also a cat, so if at least one dog exists then some cats are dogs. Many reasoning tests assume such an existence implicitly; without assuming existence this conclusion would not be guaranteed.
All the cats are dogs — Does not follow. Explanation: The premises state that dogs are a subset of cats, not that cats are a subset of dogs. There may be cats that are not dogs.
Final answer: Only the conclusion "Some cats are dogs" is supported (assuming at least one dog exists).