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Day 8: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. This type asked 9 times: May 2021 S1, 2 May 2023 S2, 3 May 2023 S2, 4 May 2023 S2, 9 May 2023 S1, 26 Apr 2025 S2, 15 Apr 2026 S2, 20 Apr 2026 S2, 19 May 2026 S2. This one: 19 May 2026 S2 See all 9 of this type

    99
    The variance of randam variable XX, for the following probability mass function (p. m. f.) is ...
    X=xX = x112233
    P(X=x)P(X = x)15\dfrac{1}{5}25\dfrac{2}{5}25\dfrac{2}{5}

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  2. Question 2

    Differential Equations. This type asked 9 times: 2 May 2023 S1, 2 May 2023 S2, 3 May 2023 S2, 14 May 2024 S2, 23 Apr 2025 S1, 13 Apr 2026 S2, 16 Apr 2026 S2, 18 Apr 2026 S1, 19 May 2026 S1. This one: 19 May 2026 S1 See all 9 of this type

    87
    A body cools from 100∘C100^\circ\mathrm{C} to 80∘C80^\circ\mathrm{C} in 5 minutes in air at 20∘C20^\circ\mathrm{C}. The time taken to cool from 80∘C80^\circ\mathrm{C} to 60∘C60^\circ\mathrm{C} will be:

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  3. Question 3

    Limits. This type asked 9 times: 11 May 2023 S2, 9 May 2024 S2, 11 May 2024 S2, 12 May 2024 S2, 19 Apr 2025 S1, 20 Apr 2025 S1, 22 Apr 2025 S2, 20 Apr 2026 S2, 19 May 2026 S1. This one: 19 May 2026 S1 See all 9 of this type

    71
    If f(x)={1−sin⁡5x5cos⁡2x,x<π2a,at x=π2b(1−sin⁡x)8(π−2x)2,x>π2f(x) = \begin{cases} \dfrac{1 - \sin^5 x}{5\cos^2 x} & , x < \dfrac{\pi}{2} \\ a & , \text{at } x = \dfrac{\pi}{2} \\ \dfrac{b(1 - \sin x)}{8(\pi - 2x)^2} & , x > \dfrac{\pi}{2} \end{cases} is continuous at x=π2x = \dfrac{\pi}{2}, then (ba)53=…\left(\dfrac{b}{a}\right)^{\frac{5}{3}} = \ldots

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  4. Question 4

    Linear Programming. This type asked 9 times: 3 May 2023 S2, 9 May 2023 S1, 21 Apr 2025 S1, 21 Apr 2025 S2, 26 Apr 2025 S1, 17 Apr 2026 S1, 20 Apr 2026 S2, 15 May 2026 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 9 of this type

    97
    The linear programming problem: Maximize : Z=x+yZ = x + y Subject to : x+2y≤200, x+y≤150, 0≤y≤60, x≥0x + 2y \le 200,\ x + y \le 150,\ 0 \le y \le 60,\ x \ge 0 has:

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  5. Question 5

    Trigonometric Functions. This type asked 9 times: 9 May 2023 S1, 11 May 2023 S1, 14 May 2024 S2, 23 Apr 2025 S1, 11 Apr 2026 S2, 20 Apr 2026 S1, 20 Apr 2026 S2, 14 May 2026 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 9 of this type

    55
    In a triangle, the lengths of the two largest sides are 1010 cm. and 99 cm. If the angles of the triangle are in arithmatic progression (A. P.), then the length of the third side (in cm.) is...

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