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Day 49: NDA Maths

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

  1. Question 1

    Binomial Distribution. Asked 2 times: NDA 2 2017, NDA 1 2021

    118
    In a binomial distribution, the mean is 23\frac{2}{3} and variance is 59\frac{5}{9}. What is the probability that random variable X=2X=2?

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  2. Question 2

    Height & Distance. Asked 2 times: NDA 2 2019*, NDA 1 2021 (* = numbers or wording changed that year)

    28
    A ladder 6 m long reaches a point 6 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the top of the flagstaff is 75°. What is the height of the flagstaff?

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  3. Question 3

    Logarithms. Asked 2 times: NDA 1 2018*, NDA 1 2021 (* = numbers or wording changed that year)

    9
    If n=100!n = 100!, then what is the value of 1log⁡2n+1log⁡3n+1log⁡4n+⋯+1log⁡100n\frac{1}{\log_2 n} + \frac{1}{\log_3 n} + \frac{1}{\log_4 n} + \cdots + \frac{1}{\log_{100} n}?

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  4. Question 4

    Sequence & Series. Asked 2 times: NDA 1 2018, NDA 1 2021

    53
    The third term of a GP is 3. What is the product of its first five terms?

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  5. Question 5

    Applications of Integration. Asked 2 times: NDA 2 2019, NDA 1 2020

    85
    What is the area of the region enclosed between the curve y2=2xy^2=2x and the straight line y=xy=x?

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