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Day 293: JEE Mains Maths

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

  1. Question 1

    Probability. Asked once: 28 Jan 2025 (same type asked 12 times) See all 12 of this type

    126
    Bag B1B_{1} contains 6 white and 4 blue balls, Bag B2B_{2} contains 4 white and 6 blue balls, and BagB3BagB_{3} contains 5 white and 5 blue balls. One of the bags is selected at random and a ball is drawn from it. If the ball is white, then the probability, that the ball is drawn from Bag B2B_{2}, is:

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  2. Question 2

    Permutations and Combinations. Asked once: 13 Apr 2023 (same type asked 12 times) See all 12 of this type

    174
    Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits 1, 2, 3, 4 , 5 with repetition, is

  3. Question 3

    Definite Integration. Asked once: 4 Apr 2024 (same type asked 11 times) See all 11 of this type

    161
    If the value of the integral ∫−11cos⁡αx1+3xdx\int_{- 1}^{1} \frac{\cos\alpha x}{1 +3^{x}}dx is 2π\frac{2}{\pi}. Then, a value of α\alpha is

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  4. Question 4

    Limits and Continuity. Asked once: 2 Apr 2025 (same type asked 11 times) See all 11 of this type

    63
    For α,β,γ∈R\alpha,\beta,\gamma \in R, if lim⁡x→0x2sin⁡αx+(γ−1)ex2sin⁡2x−βx=3\lim_{x \rightarrow 0} \frac{x^{2}\sin\alpha x + (\gamma- 1)e^{x^{2}}}{\sin2x -\beta x}= 3, then β+γ−α\beta+\gamma-\alpha is equal to:

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  5. Question 5

    Binomial Theorem. Asked once: 31 Jan 2023 (same type asked 11 times) See all 11 of this type

    90
    The remainder on dividing 5995^{99} by 11 is: