PYQ Vault

Day 347: NDA Maths

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

  1. Question 1

    Functions. Asked once: NDA 1 2021

    51
    If f(x+1)=x2−3x+2f(x+1) = x^2 - 3x + 2, then what is f(x)f(x) equal to?

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  2. Question 2

    Limits & Continuity. Asked once: NDA 2 2017

    79
    The left-hand derivative of f(x)=[x]sin⁡(πx)f(x) = [x]\sin(\pi x) at x=kx = k, where kk is an integer and [x][x] is the greatest integer function, is

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  3. Question 3

    Lines. Asked once: NDA 1 2021

    61
    Consider the following statements in respect of the points (p,p−3)(p, p-3), (q+3,q)(q+3, q) and (6,3)(6, 3): 1. The points lie on a straight line. 2. The points always lie in the first quadrant only for any value of pp and qq. Which of the above statements is/are correct?

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 1 2024

    25
    If a,b,ca,b,c are the sides of triangle ABCABC, then what is ∣a2bsin⁡Acsin⁡Absin⁡A1cos⁡Acsin⁡Acos⁡A1∣\begin{vmatrix}a^2 & b\sin A & c\sin A\\b\sin A & 1 & \cos A\\c\sin A & \cos A & 1\end{vmatrix} equal to?

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  5. Question 5

    Permutation & Combination. Asked once: NDA 2 2017

    26
    A tea party is arranged for 16 people along two sides of a long table with eight chairs on each side. Four particular men wish to sit on one particular side and two particular men on the other side. The number of ways they can be seated is

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