PYQ Vault

Day 126: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 1 2021 (same type asked 3 times)

    105
    The following table gives the frequency distribution of number of peas per pea pod of 198 pods:
    Number of peas1234567
    Frequency43376502681
    What is the median of this distribution?

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  2. Question 2

    Trigonometric Identities. Asked once: NDA 2 2019 (same type asked 3 times)

    61
    What is the minimum value of a2cos⁡2x+b2sin⁡2x\dfrac{a^{2}}{\cos^{2}x} + \dfrac{b^{2}}{\sin^{2}x} where a>0a > 0 and b>0b > 0 ?

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  3. Question 3

    3D Geometry. Asked once: NDA 1 2019 (same type asked 3 times)

    65
    What are the direction cosines of z-axis?

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  4. Question 4

    Differentiation. Asked once: NDA 1 2022 (same type asked 3 times)

    70
    If y=(xx)xy=(x^x)^x, then what is the value of dydx\frac{dy}{dx} at x=1x=1?

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  5. Question 5

    Limits & Continuity. Asked once: NDA 1 2018 (same type asked 3 times)

    96
    What is lim⁡h→02x+3h−2x2h\lim_{h\to0}\frac{\sqrt{2x+3h}-\sqrt{2x}}{2h} equal to?

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