MHT CET20243 May 2024Morning ShiftMathematicsMathematical ReasoningActual
If p and q are statements, then is a contingency.
Options
- Ap p
- Bp p
- Cp q
- D( p ( p q )) q
Correct answer
C. p q
Step-by-step solution
Step 1 Identify the definitions: A contradiction is always false, a tautology is always true, and a contingency can be either true or false. Step 2 Evaluate option (A): (p p ) is always false (contradiction). Step 3 Evaluate option (B): (p p ) is always true (tautology). Step 4 Evaluate option (C): (p q ) can be true or false depending on the values of (p ) and (q ), making it a contingency. Final Answer: C) (p q )