हिंदी

If P and Q Are True Statements and R and S Are False Statements, Find the Truth Value of the Following : ( P ∧ ∼ R ) ∧ ( ∼ Q ∧ S)

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प्रश्न

If p and q are true statements and r and s are false statements, find the truth value of the following :
( p ∧  ∼ r ) ∧ ( ∼ q ∧ s )

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उत्तर

Given p is T, q is T, r is F, s is F

( p ∧ ∼ r ) ∧ ( ∼ q ∧ s )

≡ ( T ∧ ∼ F ) ∧ ( ∼ T ∧ F )

≡ ( T ∧ T ) ∧ ( F ∧ F )

≡ T ∧ F

≡ F
∴ The truth value of the given statement is F.

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2018-2019 (March) Set 1

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