PYQ Vault

Day 38: NDA Maths

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

  1. Question 1

    Statistics. This type asked 3 times: NDA 2 2019, NDA 1 2021, NDA 1 2023. This one: NDA 1 2023

    111
    Consider the following frequency distribution:
    xx1235
    ff4697
    What is the value of median of the distribution?

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  2. Question 2 (case study, 2 parts)

    Trigonometric Identities. This type asked 3 times: NDA 1 2019, NDA 2 2019, NDA 1 2023. This one: NDA 1 2023

    Consider the following for the next two (02) items that follow: Given that m(θ)=cot⁡2θ+n2tan⁡2θ+2nm(\theta)=\cot^{2}\theta+n^{2}\tan^{2}\theta+2n, where nn is a fixed positive real number.
    53
    What is the least value of m(θ)m(\theta)?

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    54
    Under what condition does mm attain the least value?

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  3. Question 3

    3D Geometry. This type asked 3 times: NDA 1 2017, NDA 1 2019, NDA 2 2022. This one: NDA 2 2022

    65
    Consider the following statements: 1. The direction ratios of y-axis can be <0, 4, 0> 2. The direction ratios of a line perpendicular to z-axis can be <5, 6, 0> Which of the statements given above is/are correct?

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  4. Question 4

    Differentiation. This type asked 3 times: NDA 2 2018, NDA 1 2022, NDA 2 2022. This one: NDA 2 2022

    78
    If y=(xx)xy = (x^x)^x, then which one of the following is correct?

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  5. Question 5

    Limits & Continuity. This type asked 3 times: NDA 1 2017, NDA 1 2018, NDA 2 2022. This one: NDA 2 2022

    87
    What is lim⁡h→0sin⁡2(x+h)−sin⁡2xh\lim_{h\to 0}\frac{\sin^2(x+h)-\sin^2x}{h} equal to?

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