Which of the following propositions are so related that they can neither be…
2025
Which of the following propositions are so related that they can neither be true together nor can they be false together?
A. All printers are computer peripherals.
B. Some computer peripherals are printers.
C. Some printers are not computer peripherals.
D. No printers are computer peripherals.
- A.
A and D Only
- B.
B and C Only
- C.
A and C Only
- D.
A and B Only
Attempted by 13 students.
Show answer & explanation
Correct answer: C
The question asks for propositions that cannot be true together and cannot be false together. This logical relationship is defined as contradiction.
Proposition A (All printers are computer peripherals) is a Universal Affirmative. Proposition C (Some printers are not computer peripherals) is a Particular Negative.
In the Square of Opposition, Universal Affirmative (A) and Particular Negative (O) propositions are contradictories. They always have opposite truth values, making A and C the correct pair.