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Day 216: NDA Maths

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

  1. Question 1

    Properties of Triangle. Asked once: NDA 1 2019 (same type asked 4 times)

    50
    If the angles of a triangle ABC are in the ratio 1:2:31:2:3, then the corresponding sides are in the ratio

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  2. Question 2

    Statistics. Asked once: NDA 1 2018 (same type asked 4 times)

    112
    Mean=5, SD=2. If 5 added to each value, what is CV of new set?

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  3. Question 3

    Definite Integration. Asked once: NDA 1 2021 (same type asked 4 times)

    78
    What is ∫0af(a−x)f(x)+f(a−x) dx\int_0^a\frac{f(a-x)}{f(x)+f(a-x)}\,dx equal to?

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  4. Question 4

    Functions. Asked once: NDA 1 2022 (same type asked 4 times)

    67
    If 4f(x)−f(1x)=(2x+1x)(2x−1x)4f(x)-f\left(\frac{1}{x}\right)=\left(2x+\frac{1}{x}\right)\left(2x-\frac{1}{x}\right), then what is f(2)f(2) equal to?

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  5. Question 5

    Height & Distance. Asked once: NDA 1 2017 (same type asked 4 times)

    41
    From the top of a lighthouse, 100 m high, the angle of depression of a boat is tan⁡−1 ⁣(512)\tan^{-1}\!\left(\dfrac{5}{12}\right). What is the distance between the boat and the lighthouse?

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