मराठी

The statement pattern [∼r ∧ (p ∨ q) ∧ (p ∨ q) ∧ (∼p ∧ q)] is equivalent to ______ -

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प्रश्न

The statement pattern [∼r ∧ (p ∨ q) ∧ (p ∨ q) ∧ (∼p ∧ q)] is equivalent to ______ 

पर्याय

  • p ∧ q

  • r

  • p

  • q

MCQ
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उत्तर

The statement pattern [∼r ∧ (p ∨ q) ∧ (p ∨ q) ∧ (∼p ∧ q)] is equivalent to q. 

Explanation:

[∼r ∧ (p ∨ q)] ∧ (p ∨ q) ∧ (∼p ∨ q)]

≡ (p ∨ q) ∧ (∼p ∨ q) ........... [Absorption law]

≡ (p ∧ ∼p) ∨ q ................. [Distributive law]

≡ F ∨ q ........ [Complement law]

≡ q ..............[Identity Jaw]

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