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MHT CET202121 Sep 2021Morning ShiftMathematicsMathematical ReasoningActual

If p , q are true statements and r is false statement, then which of the following is correct.

Options

  1. A(p q) r has truth value F .
  2. B(p q) r has truth value T .
  3. C( p r ) q has truth value F .
  4. D( p q ) r has truth value F .

Correct answer

D. ( p q ) r has truth value F .

Step-by-step solution

We will go by option (1) ( p q ) r ( T T ) F T F T (2) ( p q ) r ( T T ) F T F F (3) ( p r ) q ( T F ) T F T T (4) ( p q ) r ( T T ) F T F F

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