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 निम्न में से कौन-सी एक टॉटोलॉजी (पुनरूक्त) नहीं है?

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HTET PGT Official Computer Science Paper - 2017
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  1. P ⋁ ¬ P
  2. ( P ⋀ Q) ⇒ P
  3. (P ⇒ Q) ⋁ P
  4. (P ⋁ Q) ⇒ P

Answer (Detailed Solution Below)

Option 4 : (P ⋁ Q) ⇒ P
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More Propositional Equivalence Questions

Q1.निम्नलिखित में से वह कथन जो एक पुनरुक्ति है, वह है:
Q2.तार्किक कथन\( (p ⇒ q) ∧ (q ⇒∼ p)\) किसके समतुल्य है?
Q3.कथनों p और q के लिए, निम्नलिखित संयुक्त कथनों पर विचार कीजिए: (a) (~q∧(p → q)) → ~p (b) ((p∨q))∧~p) → q तो निम्नलिखित में से कौन-सा कथन सही है?
Q4.कथन ~p∧(p∨q) का प्रतिवाद है:
Q5.निम्नलिखित में से कौन-सा कथन एक पुनरुक्ति है?
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Q7.Which of the following is logically equivalent? A. ¬p → (q → r) and q → (p ∨ r) B. (p → q) → r and p → (q → r) C. (p → q) → (r → s) and (p → r) → (q → s) Choose the correct answer from the options given below :
Q8.निम्न कथनों पर विचार करें: I. A ⇔  A ∨ ~ A II. A ⇔ A ∨ A III. A ∨ B ⇒ A IV. A ⇒ A ∨ B उपरोक्त में से कौन सा टॉटोलॉजी को संदर्भित करता है?
Q9.Let P, Q, R and S be Propositions. Assume that the equivalences \(P\leftrightarrow(Q \vee \;\neg\; Q)\) and \(Q \leftrightarrow R\) hold. Then the truth value of the formula \(\left( {P \wedge Q} \right) \Rightarrow \left( {\left( {P \wedge R} \right) \vee S} \right)\) is always:  

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Q1.Let the predicates D(x, y) mean “team x defeated team y” and P(x, y) mean “team x has played team y”. The quantified formula for the statement that there is a team that has beaten every team it has played, is :
Q2.Match the LIST-I with LIST-II: Match the logical equivalence propositions LIST - I LIST - II A. P → q I. (p ∧ q) ∨(¬p ∨ ¬q) B. ¬(p ∨ (¬p ∧ q)) II. ¬p ∨ q C. p ↔ q III. ¬(p ∨ q) D. ¬(p ↔ q) IV. ¬p ↔ q Choose the correct answer from the options given below:
Q3.The mathematical notation to describe logical entailment of a scentence "α entails another sentence β" is
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Q5.तार्किक कथन\( (p ⇒ q) ∧ (q ⇒∼ p)\) किसके समतुल्य है?
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Q9.If the universe of disclosure is set of integers, then which of the followings are TRUE? (A) ∀n ∃m(n2 < m) (B) ∃n ∀m(n < m2) (C) ∃n ∀m(nm = m) (D) ∃n ∃m(n2 + m2 = 6) (E) ∃n ∃m(n + m = 4 ∧ n - m = 1) Choose the correct answer from the options given below:
Q10.Arrange the following in ascending order: (A) Remainder of 4916 when divided by 17 (B) Remainder of 2446 when divided by 9 (C) Remainder of 15517 when divided by 17 (D) Last digits of the number 745 Choose the correct answer from the options given below:
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Q1.यदि L = {1, 2, 3, 4, 6, 9, 36} जालक है, तो नीचे दिए गए हैस आरेख में 9 के पूरकों की संख्या ज्ञात कीजिए।
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