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Day 143: JEE Mains Maths

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

  1. Question 1

    Sequences and Series. Asked once: 3 Apr 2025 (same type asked 6 times) See all 6 of this type

    145
    The sum 1+1+32!+1+3+53!+1+3+5+74!+…1 +\frac{1 + 3}{2!}+\frac{1 + 3 + 5}{3!}+\frac{1 + 3 + 5 + 7}{4!}+ \ldots upto ∞\infty terms, is equal to

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  2. Question 2

    Matrices. Asked once: 23 Jan 2026 S1 (same type asked 6 times) See all 6 of this type

    71
    Let ∣A∣=6|A| = 6, where A is a 3×33 \times 3 matrix. If ∣adj(3adj( A2.adj(2 A)))∣=2m.3n,m,n∈N\left| adj\left( 3adj\left( {\text{ }A}^{2}.adj(2\text{ }A) \right) \right) \right| = 2^{m}{.3}^{n},m,n \in N, then m+nm + n is equal to ____\_\_\_\_ .

  3. Question 3

    Permutations and Combinations. Asked once: 5 Apr 2024 (same type asked 6 times) See all 6 of this type

    84
    The number of ways of getting a sum 16 on throwing a dice four times is

  4. Question 4

    Definite Integration. Asked once: 23 Jan 2025 (same type asked 6 times) See all 6 of this type

    51
    The value of ∫e2e41x(e((log⁡ex)2+1)−1e((log⁡ex)2+1)−1+e((6−log⁡ex)2+1)−1)dx\int_{e^{2}}^{e^{4}} \frac{1}{x}\left(\frac{e^{\left(\left(\log_{e}x\right)^{2}+1\right)^{-1}}}{e^{\left(\left(\log_{e}x\right)^{2}+1\right)^{-1}}+e^{\left(\left(6-\log_{e}x\right)^{2}+1\right)^{-1}}}\right)dx is

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  5. Question 5

    Relations and Functions. Asked once: 3 Apr 2025 (same type asked 6 times) See all 6 of this type

    58
    If the domain of the function f(x)=log⁡e(2x−35+4x)+sin⁡−1(4+3x2−x)f(x) =\log_{e}\left( \frac{2x- 3}{5 + 4x} \right)+\sin^{- 1}\left( \frac{4 + 3x}{2 -x} \right) is [α,β)\lbrack\alpha,\beta), then α2+4β\alpha^{2}+ 4\beta is equal to.

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