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Day 368: MHT-CET Maths

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

  1. Question 1

    Definite Integration. Asked once: 17 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    84
    Let f(x)=x−[x]f(x) = x - [x] for every real number xx, where [x][x] is integral part of xx. then ∫−11f(x) dx\displaystyle\int_{-1}^{1} f(x)\,dx is

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  2. Question 2

    Differentiation. Asked once: 14 May 2024 S2 (same type asked 8 times) See all 8 of this type

    121
    If x=esin⁡−1tx = e^{\sin^{-1}t} and y=ecos⁡−1ty = e^{\cos^{-1}t}, then d2ydx2\frac{d^2y}{dx^2} is

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  3. Question 3

    Mathematical Logic. Asked once: 23 Apr 2025 S1 (same type asked 8 times) See all 8 of this type

    137
    The contrapositive of the statement ∼p∨(q∧∼r)\sim p\vee (q\land \sim r) is

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  4. Question 4

    Probability Distribution. Asked once: 13 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    100
    A certain disease has a prevalence of 1%1\% in the population. A diagnostic test for the disease has a sensitivity of 98%98\% and a specificity of 95%95\%. If a person from this population tests positive, then the probability that they actually have the disease is...

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  5. Question 5

    Trigonometric Functions. Asked once: 17 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    64
    In △ABC\triangle ABC, if a=13,b=14,c=15a = 13, b = 14, c = 15, then the value of sin⁡A+cos⁡A\sin A + \cos A is...

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