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MHT CET202016 Oct 2020Evening ShiftMathematicsMathematical ReasoningActual

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

Options

  1. A(p q) r is true
  2. B(p r) q is false
  3. C(p q) r is false
  4. D(p q) r is false.

Correct answer

D. (p q) r is false.

Step-by-step solution

( A ) We have p T , q T and r F We will check truth value of each option. (A) ( p q ) r (T T) F T F F (B) (p q) r (T T) F T F=T (C) (p q) r ( T T ) F T F F (D) ( p r ) q (T F) T F T T

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