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Day 97: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Statistics. Asked once: NDA 1 2025 (same type asked 5 times)

    105
    The sum and the sum of squares of observations corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as ΣX=200,ΣY=250,ΣX2=900\Sigma X = 200, \Sigma Y = 250, \Sigma X^2 = 900 and ΣY2=1400\Sigma Y^2 = 1400. Which one of the following is correct?

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  2. Question 2

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

    3
    What is the value of ∣12+5i∣+∣12−5i∣|12 + 5i| + |12 - 5i|, where i=−1i = \sqrt{-1}?

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  3. Question 3

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

    83
    If f(x)=ln⁡(x+1+x2)f(x) = \ln(x+\sqrt{1+x^2}), then which one of the following is correct?

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  4. Question 4

    Differential Equations. Asked once: NDA 1 2021 (same type asked 5 times)

    98
    Which one of the following differential equations has the general solution y=aex+be−xy=ae^x+be^{-x}?

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  5. Question 5 (case study, 2 parts)

    Limits & Continuity. Asked once: NDA 1 2023 (same type asked 5 times)

    Consider the following for the next two (02) items that follow: Let f(x)={x+6,x≤1px+q,1<x<25x,x≥2f(x)=\begin{cases}x+6, & x\leq1\\px+q, & 1<x<2\\5x, & x\geq2\end{cases} and f(x)f(x) is continuous.
    89
    What is the value of pp?

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    90
    What is the value of qq?

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