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Day 155: NDA Maths

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

  1. Question 1

    Binary Numbers. Asked once: NDA 2 2017 (same type asked 2 times)

    2
    The remainder and the quotient of the binary division (101110)2÷(110)2(101110)_2 \div (110)_2 are respectively

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  2. Question 2

    Differential Equations. Asked once: NDA 1 2022 (same type asked 2 times)

    58
    A radioactive substance decays at a rate proportional to the amount of substance present. If half of the substance decays in 100 years, then what is the decay constant (proportionality constant)?

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  3. Question 3

    Height & Distance. Asked once: NDA 1 2021 (same type asked 2 times)

    29
    The shadow of a tower is found to be xx metre longer, when the angle of elevation of the sun changes from 60° to 45°. If the height of the tower is 5(3+3)5(3+\sqrt{3}) m, then what is xx equal to?

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  4. Question 4

    Indefinite Integration. Asked once: NDA 2 2018 (same type asked 2 times)

    97
    What is ∫dxa2sin⁡2x+b2cos⁡2x\int\frac{dx}{a^2\sin^2x+b^2\cos^2x} equal to?

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  5. Question 5

    Lines. Asked once: NDA 1 2018 (same type asked 2 times)

    57
    What is the equation of the line through (2,3) with y-intercept equal to twice its x-intercept?

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