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Day 110: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 2 2018 (same type asked 4 times)

    103
    The average age of a combined group of men and women is 25 years. If the average age of the group of men is 26 years and that of the group of women is 21 years, then the percentage of men and women in the group is respectively

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  2. Question 2

    Quadratic Equations. Asked once: NDA 1 2019 (same type asked 4 times)

    8
    What are the roots of the equation ∣x2−x−6∣=x+2|x^2 - x - 6| = x + 2?

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  3. Question 3

    Complex Numbers. Asked once: NDA 1 2024 (same type asked 3 times)

    15
    What is (1+i)4+(1−i)4(1+i)^4+(1-i)^4 equal to, where i=−1i=\sqrt{-1}?

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  4. Question 4

    Definite Integration. Asked once: NDA 2 2021 (same type asked 3 times)

    83
    If f(x)f(x) satisfies f(1)=f(4)f(1)=f(4), then what is ∫14f′(x) dx\int_{1}^{4}f'(x)\,dx equal to?

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  5. Question 5

    Differential Equations. Asked once: NDA 2 2017 (same type asked 3 times)

    94
    The solution of the differential equation dydx=yϕ′(x)−y2ϕ(x)\dfrac{dy}{dx} = \dfrac{y\phi'(x) - y^2}{\phi(x)} is

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