Directions: In the following syllogism, take the statements as true and choose…
2023
Directions: In the following syllogism, take the statements as true and choose the conclusion that necessarily follows.
Statements:
All keys are locks.
Some locks are doors.
No door is a room.
Which of the following conclusions follows?
- A.
Some rooms are keys.
- B.
Some doors are keys.
- C.
No room is a key.
- D.
None of the conclusions follow.
Attempted by 186 students.
Show answer & explanation
Correct answer: D
All keys are locks, and some locks are doors. This does not prove that any door is a key, because the locks that are doors may be different from the locks that are keys. Also, the statement "No door is a room" does not create any definite relationship between rooms and keys.
So option A (some rooms are keys), option B (some doors are keys), and option C (no room is a key) are all not definite. Therefore, option D is correct: none of the conclusions follow.