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MHT CET20243 May 2024Morning ShiftMathematicsMathematical ReasoningActual

If p and q are statements, then is a contingency.

Options

  1. Ap p
  2. Bp p
  3. Cp q
  4. 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 )

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