PYQ Vault

Day 353: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked once: 10 May 2023 S2 (same type asked 4 times) See all 4 of this type

    137
    If ddxf(x)=4x3−3x4\frac{d}{dx}f(x) = 4x^3 - \frac{3}{x^4} such that f(2)=0f(2) = 0, then f(x)f(x) is equal to

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  2. Question 2

    Mathematical Logic. Asked once: 15 Apr 2026 S2 (same type asked 4 times) See all 4 of this type

    63
    The dual of the statement pattern (p∧∼q)⟶(q∧∼p)(p \wedge \sim q) \longrightarrow (q \wedge \sim p) is equivalent to

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  3. Question 3

    Binomial Distribution. Asked once: 10 May 2024 S2 (same type asked 4 times) See all 4 of this type

    146
    If the sum of mean and variance of a Binomial Distribution is 152\dfrac{15}{2} for 10 trials, then the variance is

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  4. Question 4

    Differential Equations. Asked once: 19 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    108
    The differential equation of all straight lines passing through the point (1,−1)(1, - 1) is

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  5. Question 5

    Mathematical Logic. Asked once: May 2021 S1 (same type asked 4 times) See all 4 of this type

    115
    The negation of the statement '7 is greater than 4 or 6 is less than 7'.

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