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MHT CET202618 April 2026Evening ShiftMathematicsMathematical ReasoningActual

If the truth value of the statement pattern ( p q) ( p q) (p q) is F , then the truth values of (p q) and (p q) are respectively.

Options

  1. AF, F
  2. BF, T
  3. CT, T
  4. DT, F

Correct answer

C. T, T

Step-by-step solution

The given statement pattern is ( p q) ( p q) (p q) . Simplifying the first two terms using the distributive law: ( p q) ( p q) p (q q) p T p The statement pattern then becomes: p (p q) Using the distributive law again: ( p p) ( p q) T ( p q) p q It is given that the truth value of this pattern is F . p q F This is possible only when both p and q are F . Thus, p T and q T . Now, substituting the truth values of p and q into the required expressions: p q T F T p q T T T The truth values are T, T respectively. Answer:

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