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Day 388: MHT-CET Maths

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

  1. Question 1

    Binomial Distribution. Asked once: 2 May 2023 S1 (same type asked 8 times) See all 8 of this type

    139
    Ten bulbs are drawn successively, with replacement, from a lot containing 10% defective bulbs, then the probability that there is at least one defective bulb, is

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  2. Question 2

    Applications of Derivative. Asked once: 10 May 2024 S2 (same type asked 8 times) See all 8 of this type

    108
    If the surface area of a spherical balloon of radius 6 cm is increasing at the rate 2 cm2/sec2\,\text{cm}^2/\text{sec}, then the rate of increase in its volume in cm3/sec\text{cm}^3/\text{sec} is

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  3. Question 3

    Definite Integration. Asked once: 21 Apr 2025 S1 (same type asked 8 times) See all 8 of this type

    116
    The value of ∫02[x2]dx\int_{0}^{2} \left\lbrack x^{2} \right\rbrack dx is (where [x]\lbrack x\rbrack denotes the greatest integer function not greater than xx )

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  4. Question 4

    Differentiation. Asked once: 15 May 2023 S2 (same type asked 8 times) See all 8 of this type

    101
    If x=sin⁡θx = \sin\theta, y=sin⁡3θy = \sin^3\theta, then d2ydx2\frac{d^2y}{dx^2} at θ=π2\theta = \frac{\pi}{2} is

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  5. Question 5

    Mathematical Logic. Asked once: 15 May 2023 S2 (same type asked 8 times) See all 8 of this type

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

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