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If p and q are true statements in logic, which of the following statement pattern is true?

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If p and q are true statements in logic, which of the following statement pattern is true?

(A) (p ∨ q) → ~ q 

(B) (p ∨ q) ∧ ~ q 

(C) (p ∧ ~q) ∧ q 

(D) (~p ∧ q) ∧ q

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1 Answer

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Best answer

Correct option: (C) (p ∧ ~q) ∧ q 

(p ∧ ~q) → q ≡ (T ∧ ~T) → T

≡ (T ∧ F) → T

≡ F → T

≡ T

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