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If p ˄ q = F, p → q = F, then the truth value of p and q is : - Mathematics and Statistics

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MCQ

If p ˄ q = F, p → q = F, then the truth value of p and q is :

Options

  • T, T

  • T, F

  • F, T

  • F, F

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Solution

(p ∧ q) is F and(p → q) is F.
Consider the following truth table:

p q p ∧ q p → q
T T T T
T F F F
F T F T
F F F T

If (p ∧ q) is F and (p → q) is F, the their truth value must be T and F respectively

Concept: Truth Value of Statement
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