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Day 84: NDA Maths

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

  1. Question 1

    Statistics. This type asked 2 times: NDA 2 2018, NDA 1 2021. This one: NDA 1 2021

    114
    The geometric mean of a set of observations is computed as 10. The geometric mean obtained when each observation xix_i is replaced by 3xi43x_i^4 is

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  2. Question 2

    Trigonometric Identities. This type asked 2 times: NDA 2 2019, NDA 1 2021. This one: NDA 1 2021

    15
    What is cot⁡2xcot⁡4x−cot⁡4xcot⁡6x−cot⁡6xcot⁡2x\cot 2x \cot 4x - \cot 4x \cot 6x - \cot 6x \cot 2x equal to?

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  3. Question 3

    Binomial Theorem. This type asked 2 times: NDA 2 2019, NDA 1 2020. This one: NDA 1 2020

    2
    The term independent of xx in the binomial expansion of (2x2−x)10\left(\frac{2}{x^2} - \sqrt{x}\right)^{10} is equal to

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  4. Question 4

    Binomial Theorem. This type asked 2 times: NDA 2 2017, NDA 1 2020. This one: NDA 1 2020

    49
    What is the sum of the last five coefficients in the expansion of (1+x)9(1+x)^9 when it is expanded in ascending powers of xx?

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  5. Question 5

    Linear Inequalities. This type asked 2 times: NDA 2 2019, NDA 1 2020. This one: NDA 1 2020

    10
    If 1.5≤x≤4.51.5 \leq x \leq 4.5, then which one of the following is correct?

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