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Day 200: MHT-CET Maths

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

  1. Question 1

    Determinants and Matrices. Asked once: 16 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    63
    If A=[235−2],B−1=[152525−15]A = \begin{bmatrix} 2 & 3 \\ 5 & -2 \end{bmatrix}, B^{-1} = \begin{bmatrix} \frac{1}{5} & \frac{2}{5} \\ \frac{2}{5} & -\frac{1}{5} \end{bmatrix}, then (AB)−1=(AB)^{-1} =

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  2. Question 2

    Probability Distribution. Asked once: 13 May 2026 S2 (same type asked 5 times) See all 5 of this type

    99
    Let XX be a continuous r. v. with p. d. f. f(x)={kx3,0≤x≤10,otherwisef(x) = \begin{cases} kx^3, & 0 \le x \le 1 \\ 0, & \text{otherwise} \end{cases} then P(X≤34∣X>14)=…P\left(X \le \dfrac{3}{4} \mid X > \dfrac{1}{4}\right) = \ldots

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  3. Question 3

    Sets, Relations and Functions. Asked once: May 2022 S1 (same type asked 5 times) See all 5 of this type

    143
    If [x][x] is greatest integer function and 2[2x−5]−1=72[2x-5] - 1 = 7, then xx lies in

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  4. Question 4

    Applications of Derivative. Asked once: 16 May 2023 S2 (same type asked 5 times) See all 5 of this type

    111
    Water is being poured at the rate of 36 m3/min\text{m}^3/\text{min} into a cylindrical vessel, whose circular base is of radius 3 meters. Then the water level in the cylinder is rising at the rate of

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  5. Question 5

    Differential Equations. Asked once: 11 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    86
    The solution of the differential equation xdydx+y=x3y6x\dfrac{dy}{dx} + y = x^3y^6, is...

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