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Day 22: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. This type asked 6 times: May 2022 S1, 3 May 2023 S2, 9 May 2024 S1, 10 May 2024 S2, 17 Apr 2026 S2, 19 May 2026 S2. This one: 19 May 2026 S2 See all 6 of this type

    61
    The negation of the statement (p∧∼q)→(∼p∨r)(p \wedge \sim q) \to (\sim p \vee r) is equivalent to:

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  2. Question 2

    Sets, Relations and Functions. This type asked 6 times: 11 Apr 2026 S1, 13 Apr 2026 S1, 18 Apr 2026 S2, 20 Apr 2026 S1, 14 May 2026 S2, 19 May 2026 S2. This one: 19 May 2026 S2 See all 6 of this type

    51
    The domain of the function f(x)=1∣x∣−xf(x) = \dfrac{1}{\sqrt{|x| - x}} is

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  3. Question 3

    Differential Equations. This type asked 6 times: 3 May 2023 S1, 4 May 2023 S1, 4 May 2023 S2, 11 May 2023 S2, 22 Apr 2025 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 6 of this type

    85
    An ice ball melts. The rate at which it melts is proportional to the amount of the ice at that time. If half quantity of ice melts in 2020 minutes, then the time when (1/8)th(1/8)^{th} part of original amount of the ice is left is:

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  4. Question 4

    Differential Equations. This type asked 6 times: 10 May 2023 S1, 12 May 2024 S1, 15 Apr 2026 S2, 19 Apr 2026 S2, 14 May 2026 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 6 of this type

    86
    The solution of the differential equation dydx+1=ex+y\dfrac{dy}{dx} + 1 = e^{x+y} is

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  5. Question 5

    Differentiation. This type asked 6 times: 10 May 2023 S1, 14 May 2024 S2, 23 Apr 2025 S1, 25 Apr 2025 S2, 11 Apr 2026 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 6 of this type

    74
    If y=xxx⋅⋅⋅∞y = x^{x^{x^{\cdot^{\cdot^{\cdot\infty}}}}}, then dydx\dfrac{dy}{dx} is:

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