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MHT CET202619 April 2026Evening ShiftMathematicsMathematical ReasoningActual

If p, q, r are simple propositions with truth values T, F, T respectively, then which of the following is not a true statement?

Options

  1. A[q (p q)] p
  2. B(p q) (q p)
  3. C[( p q) r] p
  4. D(p q) ( q r)

Correct answer

C. [( p q) r] p

Step-by-step solution

Given p = T , q = F , r = T . Evaluating the first option: [q (p q)] p [F (T F)] T [F F] T F T T Evaluating the second option: (p q) (q p) (T F) (F F) F F T Evaluating the third option: [( p q) r] p [(F F) F] T [F F] T F T F Evaluating the fourth option: (p q) ( q r) (T F) (T T) F T T The statement in the third option is not true. Answer: [( p q) r] p

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