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Truth values of statement patterns when p, q, r have given truth values

This type of question, asked 7 times: 4 May 2023 S2, 9 May 2024 S1, 10 May 2024 S2, 25 Apr 2025 S1, 15 Apr 2026 S1, 19 Apr 2026 S2, 12 May 2026 S1. All 7 questions below, oldest first.

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  1. Question 1

    4 May 2023 S2

    126
    If the statements p, q and r have the truth values F, T, F respectively, then the truth values of the statement patterns (p∧∼q)→r(p\wedge\sim q)\rightarrow r and (p∨q)→r(p\vee q)\rightarrow r are respectively

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  2. Question 2

    9 May 2024 S1

    148
    If truth values of statements p,qp, q are true, and r,sr, s are false, then the truth values of the following statement patterns are respectively. a: ∼(p∧∼r)∨(∼q∨s)\sim(p\wedge\sim r)\vee(\sim q\vee s) b: (∼q∧∼r)↔(p∨s)(\sim q\wedge\sim r)\leftrightarrow(p\vee s) c: (∼p∨q)→(r∧∼s)(\sim p\vee q)\to(r\wedge\sim s)

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  3. Question 3

    10 May 2024 S2

    143
    If pp and qq are true statements and rr and ss are false statements, then the truth values of the statement patterns (p∧q)∨r(p\wedge q)\vee r and (p∨q)↔(q∧r)(p\vee q)\leftrightarrow(q\wedge r) are respectively

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  4. Question 4

    25 Apr 2025 S1

    124
    If the statements p,qp,q and rr are true, false and true statements respectively, then the truth value of the statement pattern [∼q∧(p∨∼q)∧∼r]∨p\lbrack \sim q\land (p\vee \sim q) \land \sim r\rbrack \vee p and the truth value of its dual statement respectively are

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  5. Question 5

    15 Apr 2026 S1

    63
    The statements p, q and r have truth values True, False and False respectively. The truth values of a logical statement [∼(p∧∼q)∨(q∨∼r)][\sim(p \wedge \sim q) \vee (q \vee \sim r)] and its dual are, respectively.....

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  6. Question 6

    19 Apr 2026 S2

    61
    If p, q, r are simple propositions with truth values T, F, T respectively, then which of the following is not a true statement?

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  7. Question 7

    12 May 2026 S1

    66
    If the truth values of p,q,r,sp, q, r, s are respectively T,F,F,TT, F, F, T then the truth values of the compound statements ∼(p→∼q)\sim(p \to \sim q) and (∼r∧s)→(p∧∼q)(\sim r \wedge s) \to (p \wedge \sim q) are respectively ... and .....

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