PYQ Vault

Day 238: NDA Maths

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

  1. Question 1

    Statistics. Asked once: NDA 2 2018 (same type asked 6 times)

    110
    The variance of 25 observations is 4. If 2 is added to each observation, then the new variance of the resulting observations is

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  2. Question 2

    Lines. Asked once: NDA 1 2017 (same type asked 8 times)

    59
    What is the acute angle between the pair of straight lines 2x+3y=1\sqrt{2}x+\sqrt{3}y=1 and 3x+2y=2\sqrt{3}x+\sqrt{2}y=2?

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  3. Question 3

    Matrices & Determinants. Asked once: NDA 1 2017 (same type asked 6 times)

    28
    If BB is a non-singular matrix and AA is a square matrix, then the value of det⁡(B−1AB)\det(B^{-1}AB) is equal to

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  4. Question 4

    Statistics. Asked once: NDA 1 2017 (same type asked 6 times)

    101
    The variance of 20 observations is 5. If each observation is multiplied by 3, then what is the new variance of the resulting observations?

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  5. Question 5

    Matrices & Determinants. Asked once: NDA 1 2017 (same type asked 6 times)

    27
    If A=(α22α)A = \begin{pmatrix} \alpha & 2 \\ 2 & \alpha \end{pmatrix} and det⁡(A3)=125\det(A^3) = 125, then α\alpha is equal to

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