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MHT CET202313 May 2023Evening ShiftMathematicsMathematical ReasoningActual

If q is false and p q r is true, then is a tautology.

Options

  1. Ap r
  2. B( p r ) p r
  3. C( p r ) p r
  4. Dp r

Correct answer

B. ( p r ) p r

Step-by-step solution

q is false and p q r is true p q F and r F p T or F , q F and r F (1) p r T or F (2) ( p r ) ( p r ) F ( T or F ) T (3) ( p r ) ( p r ) ( T or F ) F T or F (4) p r F

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