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Day 7: JEE Mains Maths

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

  1. Question 1

    Relations and Functions. This type asked 9 times: 8 Apr 2023, 13 Apr 2023, 31 Jan 2024, 6 Apr 2024, 3 Apr 2025, 4 Apr 2025, 21 Jan 2026 S2, 22 Jan 2026 S1, 23 Jan 2026 S1. This one: 23 Jan 2026 S1 See all 9 of this type

    56
    Let A={−2,−1,0,1,2,3,4}\mathbf{A = \{ - 2, - 1,0,1,2,3,4\}}. Let R be a relation on A defined by xRy if and only if 2x+y≤22x + y \leq 2. Let ll be the number of elements in R. Let m and n be the minimum number of elements required to be added in R to make it reflexive and symmetric relations respectively. Then l+m+nl + m + n is equal to :

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  2. Question 2

    Sequences and Series. This type asked 9 times: 2021 Paper 10, 2021 Paper 13, 2021 Paper 14, 2021 Paper 23, 30 Jan 2024, 1 Feb 2024, 23 Jan 2025, 24 Jan 2025, 22 Jan 2026 S1. This one: 22 Jan 2026 S1 See all 9 of this type

    70
    If the sum of the first four terms of an A.P. is 6 and the sum of its first six terms is 4 , then the sum of its first twelve terms is

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  3. Question 3

    Sequences and Series. This type asked 9 times: 2021 Paper 14, 2021 Paper 25, 25 Jun 2022, 29 Jul 2022, 6 Apr 2023, 10 Apr 2023, 11 Apr 2023, 27 Jan 2024, 24 Jan 2025. This one: 24 Jan 2025 See all 9 of this type

    135
    If 7=5+17(5+α)+172(5+2α)+173(5+3α)+⋯7 = 5 + \frac{1}{7}(5+\alpha) + \frac{1}{7^{2}}(5+2\alpha) + \frac{1}{7^{3}}(5+3\alpha) + \cdots upto ∞\infty, then the value of α\alpha is:

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  4. Question 4

    Determinants. This type asked 9 times: 2021 Paper 2, 2021 Paper 26, 25 Jan 2023, 29 Jan 2023, 31 Jan 2023, 6 Apr 2023, 10 Apr 2023, 13 Apr 2023, 30 Jan 2024. This one: 30 Jan 2024 See all 9 of this type

    73
    Consider the system of linear equations x+y+z=4μ, x+2y+2λz=10μ, x+3y+4λ2z=μ2+15x+y+z=4\mu,\ x+2y+2\lambda z=10\mu,\ x+3y+4\lambda^{2}z=\mu^{2}+15, where λ,μ∈R\lambda,\mu\in R. Which one of the following statements is NOT correct?

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  5. Question 5

    Statistics. This type asked 8 times: 2021 Paper 6, 2021 Paper 8, 2021 Paper 21, 29 Jan 2023, 31 Jan 2023, 6 Apr 2023, 11 Apr 2023, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 8 of this type

    57
    A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10 observations is equal to :

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