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Mathematical Logic

MHT-CET Maths. Try each one first, then open its answer.

Top 10 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 19 times: 3 in 2023, 4 in 2024, 2 in 2025, 10 in 2026. This one: 19 May 2026 S2 See all 19 of this type

    59
    The statement pattern [p∧(q∨r)]∨[∼r∧∼q∧p][p \wedge (q \vee r)] \vee [\sim r \wedge \sim q \wedge p] is equivalent to _____

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  2. Question 2

    This type asked 14 times: 16 May 2023 S2, 13 May 2024 S2, 14 May 2024 S2, 20 Apr 2025 S1, 22 Apr 2025 S1, 11 Apr 2026 S1, 13 Apr 2026 S2, 16 Apr 2026 S2, 17 Apr 2026 S1, 18 Apr 2026 S2, 19 Apr 2026 S2, 20 Apr 2026 S2, 13 May 2026 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 14 of this type

    68
    If the compound statement (p∧∼q)→(q∨∼r)(p \wedge \sim q) \rightarrow (q \vee \sim r) is false then which of the following statements is a true ?

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  3. Question 3

    This type asked 14 times: 2 May 2023 S1, 4 May 2023 S1, 9 May 2023 S1, 9 May 2023 S2, 10 May 2023 S2, 15 May 2023 S1, 11 May 2024 S2, 21 Apr 2025 S1, 21 Apr 2025 S2, 26 Apr 2025 S1, 13 Apr 2026 S1, 19 Apr 2026 S2, 14 May 2026 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 14 of this type

    63
    If p→(∼p∨q)p \rightarrow (\sim p \vee q) is false, then the truth values of p,qp, q are:

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  4. Question 4

    This type asked 9 times: 10 May 2023 S2, 11 May 2023 S1, 11 May 2023 S2, 15 May 2023 S1, 12 May 2024 S1, 12 May 2024 S2, 20 Apr 2025 S2, 17 Apr 2026 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 9 of this type

    60
    Consider the following statements - (i) If a person is social, then he is happy. (ii) If a person is not social, then he is not happy. (iii) If a person is not happy, then he is not social. (iv) If a person is happy, then he is social. Which of the above statements are equivalent?

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  5. Question 5

    This type asked 9 times: 3 May 2023 S1, 11 May 2023 S2, 9 May 2024 S2, 20 Apr 2025 S2, 26 Apr 2025 S2, 13 Apr 2026 S1, 17 Apr 2026 S2, 19 Apr 2026 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 9 of this type

    66
    Consider the following statements: (i) ∼(p∧∼q)\sim(p \wedge \sim q) (ii) (p→q)↔(∼q→∼p)(p \to q) \leftrightarrow (\sim q \to \sim p) Result 1 : (i) and (ii) are logically equivalent Result 2 : (ii) is a contradiction then which of the following is correct?

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  6. Question 6

    This type asked 9 times: May 2022 S1, 9 May 2023 S1, 15 May 2023 S2, 19 Apr 2025 S1, 22 Apr 2025 S1, 25 Apr 2025 S2, 26 Apr 2025 S2, 20 Apr 2026 S1, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 9 of this type

    51
    The statement having truth value 'T' from the following is

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  7. Question 7

    This type 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. This one: 12 May 2026 S2 See all 8 of this type

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

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  8. Question 8

    This type asked 7 times: 2 May 2023 S2, 13 May 2024 S2, 16 Apr 2026 S2, 20 Apr 2026 S1, 13 May 2026 S2, 14 May 2026 S2, 19 May 2026 S1. This one: 19 May 2026 S1 See all 7 of this type

    66
    The negation of the inverse of ∼p→q\sim p \rightarrow q is equivalent to:

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  9. Question 9

    This type 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. This one: 12 May 2026 S1 See all 7 of this type

    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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  10. Question 10

    This type asked 7 times: 3 May 2023 S2, 10 May 2024 S1, 12 May 2024 S2, 26 Apr 2025 S1, 16 Apr 2026 S1, 18 Apr 2026 S2, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 7 of this type

    62
    The simplified switching circuit for the following circuit is

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