PYQ Vault

Day 361: NDA Maths

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Statistics. Asked once: NDA 2 2018

    102
    The correlation coefficient computed from a set of 30 observations is 0.8. Then the percentage of variation not explained by linear regression is

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  2. Question 2 (case study, 3 parts)

    Trigonometric Identities. Asked once: NDA 1 2020

    Directions for the following three (03) items: Read the following information and answer the three items that follow: Let asin⁡2x+bcos⁡2x=ca\sin^2 x + b\cos^2 x = c; bsin⁡2y+acos⁡2y=db\sin^2 y + a\cos^2 y = d and ptan⁡x=qtan⁡yp\tan x = q\tan y.
    31
    What is tan⁡2x\tan^2 x equal to?

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    32
    What is d−ab−d\frac{d-a}{b-d} equal to?

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    33
    What is p2q2\frac{p^2}{q^2} equal to?

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  3. Question 3

    Vectors. Asked once: NDA 2 2018

    67
    Let a⃗,b⃗\vec{a}, \vec{b} and c⃗\vec{c} be three mutually perpendicular vectors each of unit magnitude. If A⃗=a⃗+b⃗+c⃗\vec{A}=\vec{a}+\vec{b}+\vec{c}, B⃗=a⃗−b⃗+c⃗\vec{B}=\vec{a}-\vec{b}+\vec{c} and C⃗=a⃗−b⃗−c⃗\vec{C}=\vec{a}-\vec{b}-\vec{c}, then which one of the following is correct?

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  4. Question 4

    Differentiation. Asked once: NDA 2 2017

    68
    A function is defined in (0,∞)(0, \infty) by f(x)={1−x2for 0<x≤1ln⁡xfor 1<x≤2ln⁡2−1+0.5xfor 2<x<∞f(x) = \begin{cases}1 - x^2 & \text{for } 0 < x \leq 1 \\ \ln x & \text{for } 1 < x \leq 2 \\ \ln 2 - 1 + 0.5x & \text{for } 2 < x < \infty\end{cases}. Which one of the following is correct in respect of the derivative of the function, i.e., f′(x)f'(x)?

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  5. Question 5

    Functions. Asked once: NDA 2 2019

    75
    Which one of the following is the second degree polynomial function f(x)f(x) where f(0)=5f(0) = 5, f(−1)=10f(-1) = 10 and f(1)=6f(1) = 6 ?

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