PYQ Vault

Day 161: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 1 2017 (same type asked 2 times)

    102
    The mean of a group of 100 observations was found to be 20. Later it was found that four observations were incorrect, which were recorded as 21, 21, 18 and 20. What is the mean if the incorrect observations are omitted?

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  2. Question 2

    Statistics. Asked once: NDA 2 2018 (same type asked 2 times)

    111
    If xi>0,yi>0x_i>0, y_i>0 (i=1,2,3,…,n)(i=1,2,3,\ldots,n) are the values of two variables X and Y with geometric means P and Q respectively, then the geometric mean of XY\frac{X}{Y} is

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  3. Question 3

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

    70
    What is tan⁡25°tan⁡15°+tan⁡15°tan⁡50°+tan⁡25°tan⁡50°\tan25°\tan15° + \tan15°\tan50° + \tan25°\tan50° equal to ?

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  4. Question 4

    Binomial Theorem. Asked once: NDA 2 2019 (same type asked 2 times)

    29
    If the constant term in the expansion of (x−kx2)10\left(\sqrt{x} - \dfrac{k}{x^{2}}\right)^{10} is 405, then what can be the values of kk ?

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  5. Question 5

    Binomial Theorem. Asked once: NDA 2 2017 (same type asked 2 times)

    18
    In the expansion of (1+x)50(1+x)^{50}, the sum of the coefficients of odd powers of xx is

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