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Day 378: JEE Mains Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 30 Jan 2023 (same type asked 12 times) See all 12 of this type

    86
    Number of 4-digit numbers (the repeation of digits is allowed) which are made using the digits 1,2,31,2,3 and 5 , and are divisible by 15 , is equal to

  2. Question 2

    Definite Integration. Asked once: 27 Jun 2022 (same type asked 11 times) See all 11 of this type

    70
    The value of the integral ∫−22∣x3+x∣(ex∣x∣+1)dx\int_{- 2}^{2} \frac{\left| x^{3}+ x \right|}{\left( e^{x|x|}+ 1 \right)}dx is equal to :

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  3. Question 3

    Limits and Continuity. Asked once: 27 Jan 2024 (same type asked 11 times) See all 11 of this type

    159
    If lim⁡x→03+αsin⁡x+βcos⁡x+log⁡e(1−x)3tan⁡2x=13\lim_{x \rightarrow 0} \frac{3 + \alpha \sin x + \beta \cos x +\log_{e}(1 - x)}{3\tan^{2}x}=\frac{1}{3}, then 2α−β2\alpha - \beta is equal to :

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  4. Question 4

    Binomial Theorem. Asked once: 14 Jun 2022 (same type asked 11 times) See all 11 of this type

    62
    The remainder when 320223^{2022} is divided by 5 is

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  5. Question 5

    Three Dimensional Geometry. Asked once: 29 Jun 2022 (same type asked 11 times) See all 11 of this type

    63
    If the mirror image of the point (2,4,7)(2,4,7) in the plane 3x−y+4z=23x - y + 4z = 2 is (a,b,c)(a,b,c), the 2a+b+2c2a + b + 2c is equal to :

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