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Day 2: MHT-CET Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Mathematical Logic. 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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  2. Question 2

    Differential Equations. This type asked 14 times: May 2021 S1, 3 May 2023 S1, 3 May 2023 S2, 20 Apr 2025 S1, 22 Apr 2025 S1, 23 Apr 2025 S1, 11 Apr 2026 S1, 15 Apr 2026 S2, 16 Apr 2026 S2, 18 Apr 2026 S2, 20 Apr 2026 S1, 20 Apr 2026 S2, 14 May 2026 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 14 of this type

    87
    The order and degree of the differential equation edydx+dydx=xe^{\frac{dy}{dx}} + \dfrac{dy}{dx} = x is

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  3. Question 3

    Mathematical Logic. 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

    Line and Plane. This type asked 13 times: 10 May 2023 S1, 10 May 2023 S2, 11 May 2023 S1, 15 May 2023 S2, 11 May 2024 S2, 14 May 2024 S2, 23 Apr 2025 S1, 11 Apr 2026 S1, 11 Apr 2026 S2, 15 Apr 2026 S2, 17 Apr 2026 S1, 12 May 2026 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 13 of this type

    94
    If the lines x−11=y−12=z−13\dfrac{x - 1}{1} = \dfrac{y - 1}{2} = \dfrac{z - 1}{3} and x−31=y−k2=z−51\dfrac{x - 3}{1} = \dfrac{y - k}{2} = \dfrac{z - 5}{1} are intersect at the point PP, then the distance (in units) of the point PP from the origin O(0,0,0)O(0, 0, 0) is ...

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  5. Question 5

    Definite Integration. This type asked 13 times: May 2021 S1, 3 May 2023 S2, 4 May 2023 S1, 15 May 2023 S1, 10 May 2024 S2, 19 Apr 2025 S2, 20 Apr 2025 S1, 25 Apr 2025 S2, 13 Apr 2026 S1, 15 Apr 2026 S2, 16 Apr 2026 S2, 20 Apr 2026 S2, 19 May 2026 S1. This one: 19 May 2026 S1 See all 13 of this type

    83
    Let f(x)f(x) be odd and continuous on [−a,a][-a, a]. Then the value of ∫−aaxf(x2)dx\int_{-a}^{a} xf(x^2)dx is:

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