PYQ Vault

Converse, inverse or contrapositive of a symbolic statement pattern

This type of question, asked 8 times: 4 May 2023 S2, 10 May 2023 S1, 15 May 2023 S2, 23 Apr 2025 S1, 15 Apr 2026 S1, 18 Apr 2026 S1, 20 Apr 2026 S2, 12 May 2026 S2. All 8 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    4 May 2023 S2

    124
    The converse of [p∧(∼q)]→r[p\wedge(\sim q)]\rightarrow r is

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  2. Question 2

    10 May 2023 S1

    146
    The inverse of p→(q→r)p\to(q\to r) is logically equivalent to

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  3. Question 3

    15 May 2023 S2

    107
    The contrapositive of the inverse of p→(p→q)p \to (p \to q) is

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  4. Question 4

    23 Apr 2025 S1

    137
    The contrapositive of the statement ∼p∨(q∧∼r)\sim p\vee (q\land \sim r) is

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  5. Question 5

    15 Apr 2026 S1

    62
    The dual of the converse of the inverse of the logical statement p→(q→r)p \to (q \to r) is equivalent to...

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  6. Question 6

    18 Apr 2026 S1

    61
    The contrapositive of the statement pattern [p∨(p→q)]→(p∧∼q)[p \vee (p \to q)] \to (p \wedge \sim q) is

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  7. Question 7

    20 Apr 2026 S2

    61
    The contrapositive of ∼q→p\sim q \to p is equivalent to

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  8. Question 8

    12 May 2026 S2

    65
    The inverse of a statement (p∨q)→r(p \vee q) \to r is

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