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Day 230: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 1 2020 (same type asked 5 times)

    110
    If ∑xi=20\sum x_i=20, ∑xi2=200\sum x_i^2=200 and n=10n=10 for an observed variable xx, then what is the coefficient of variation?

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  2. Question 2

    Complex Numbers. Asked once: NDA 1 2021 (same type asked 5 times)

    10
    If Z=1+iZ = 1+i, where i=−1i = \sqrt{-1}, then what is the modulus of Z+2ZZ + \frac{2}{Z}?

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  3. Question 3

    Functions. Asked once: NDA 1 2017 (same type asked 5 times)

    94
    Which one of the following functions is neither even nor odd?

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  4. Question 4

    Limits & Continuity. Asked once: NDA 2 2019 (same type asked 5 times)

    98
    For what value of kk is the function f(x)={2x+14,x<0k,x=0(x+12)2,x>0f(x) = \begin{cases} 2x + \dfrac{1}{4}, & x < 0 \\ k, & x = 0 \\ \left(x + \dfrac{1}{2}\right)^{2}, & x > 0 \end{cases} continuous ?

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  5. Question 5

    Differentiation. Asked once: NDA 2 2019 (same type asked 5 times)

    97
    What is the derivative of 2(sin⁡x)22^{(\sin x)^{2}} with respect to sin⁡x\sin x ?

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