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If the truth value of statement (q ∧ ~ r) → p is false (F), then the truth values of the statements p, q, rare respectively. -

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Question

If the truth value of statement (q ∧ ~ r) → p is false (F), then the truth values of the statements p, q, rare respectively.

Options

  • T, F, T

  • F, T, F

  • T, T, F

  • T, F, F

MCQ

Solution

F, T, F

Explanation:

The truth value of statement (q ∧ ~ r) → p is F

∴ (q ∧ ~ r) ≡ T and p ≡ F

∴ q ≡ T and ~ r ≡ T

∴ q ≡ T and r ≡F

∴ Truth value of p, q, r are F, T, F respectively.

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