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MHT CET202619 April 2026Evening ShiftMathematicsMathematical ReasoningActual

If p q is false and q r is false, then the truth value of (p, q, r) is...

Options

  1. A(T, F, T)
  2. B(F, T, F)
  3. C(F, F, T)
  4. D(F, T, T)

Correct answer

C. (F, F, T)

Step-by-step solution

The implication p q is given as false. An implication A B is false if and only if A is true and B is false. Therefore, p is true and q is false. Since p is true, p must be false ( F ). Thus, p = F and q = F . The biconditional q r is given as false. A biconditional A B is false if and only if A and B have opposite truth values. Since q is false, r must be true ( T ). The truth values of (p, q, r) are (F, F, T) . Answer: (F, F, T)

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