PYQ Vault

Day 165: NDA Maths

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

  1. Question 1

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

    24
    In the binary equation (1p101)2+(10q1)2=(100r00)2(1p101)_2 + (10q1)_2 = (100r00)_2, where pp, qq and rr are binary digits, what are the possible values of pp, qq and rr respectively?

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  2. Question 2

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

    89
    Let f(x+y)=f(x)f(y)f(x+y)=f(x)f(y) for all xx and yy. Then what is f′(5)f'(5) equal to [where f′(x)f'(x) is the derivative of f(x)f(x)]?

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  3. Question 3

    Matrices & Determinants. Asked once: NDA 1 2018 (same type asked 2 times)

    24
    What is the inverse of the matrix A=(cos⁡θsin⁡θ0−sin⁡θcos⁡θ0001)A = \begin{pmatrix}\cos\theta & \sin\theta & 0 \\ -\sin\theta & \cos\theta & 0 \\ 0 & 0 & 1\end{pmatrix}?

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  4. Question 4

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

    5
    If the roots of the equation x2+px+q=0x^2 + px + q = 0 are in the same ratio as those of the equation x2+lx+m=0x^2 + lx + m = 0, then which one of the following is correct?

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  5. Question 5

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

    114
    For given statistical data, the graphs for less than ogive and more than ogive are drawn. If the point at which the two curves intersect is PP, then abscissa of point PP gives the value of which one of the following measures of central tendency?

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