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JEE Main2013MathematicsMathematical ReasoningActual

Let p and q be any two logical statements and r : p ( p q) . If r has a truth value F , then the truth values of p and q are respectively:

Options

  1. AF , F
  2. BT , T
  3. CT, F
  4. DF, T

Correct answer

C. T, F

Step-by-step solution

p ( p q) has truth value F . It means p ( p q) is false. It means p is true and p q is false. p is true and both p and q are false. p is true and q is false.

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