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Day 174: NDA Maths

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

  1. Question 1

    Binomial Distribution. Asked once: NDA 2 2022 (same type asked 5 times)

    108
    Five coins are tossed once. What is the probability of getting at most four tails?

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  2. Question 2

    Statistics. Asked once: NDA 2 2023 (same type asked 5 times)

    103
    If the mean and sum of squares of 10 observations are 40 and 16160 respectively, then what is the standard deviation?

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  3. Question 3

    Complex Numbers. Asked once: NDA 1 2022 (same type asked 5 times)

    47
    What is the modulus of (−32−12)200\left(\frac{\sqrt{-3}}{2}-\frac{1}{2}\right)^{200}?

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  4. Question 4

    Functions. Asked once: NDA 1 2019 (same type asked 5 times)

    73
    A function f defined by f(x)=ln⁡(x2+1−x)f(x)=\ln(\sqrt{x^2+1}-x) is

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  5. Question 5

    Differential Equations. Asked once: NDA 2 2017 (same type asked 5 times)

    92
    The differential equation of minimum order by eliminating the arbitrary constants AA and CC in the equation y=A[sin⁡(x+C)+cos⁡(x+C)]y = A[\sin(x+C) + \cos(x+C)] is

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