PYQ Vault

Day 364: NDA Maths

5 questions (9 parts). Try each one first, then open its answer.

  1. Question 1

    Matrices & Determinants. Asked once: NDA 1 2023

    9
    Let AX=BAX=B be a system of 3 linear equations with 3-unknowns. Let X1X_1 and X2X_2 be its two distinct solutions. If the combination aX1+bX2aX_1+bX_2 is a solution of AX=BAX=B; where aa, bb are real numbers, then which one of the following is correct?

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  2. Question 2 (case study, 3 parts)

    Probability. Asked once: NDA 1 2022

    Consider the following data for the next three (03) items that follow: There are 90 applicants for a job. Some of them are graduates. Some of them have less than three years experience.
    Number of graduatesNumber of non-graduates
    At least 3 years experience189
    Less than 3 years experience3627
    Let G be the event that the first applicant interviewed is a graduate and T be the event that first applicant interviewed has at least 3 years experience.
    112
    What is P(G∩T‾)P\left(G\cap\overline{T}\right) equal to?

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    113
    What is P(G∣T‾)P\left(G|\overline{T}\right) equal to?

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    114
    What is P(T‾∣G‾)P\left(\overline{T}|\overline{G}\right) equal to?

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  3. Question 3

    Sequence & Series. Asked once: NDA 1 2017

    16
    The sum of the roots of the equation x2+bx+c=0x^2 + bx + c = 0 (where bb and cc are non-zero) is equal to the sum of the reciprocals of their squares. Then 1c, b, cb\dfrac{1}{c},\, b,\, \dfrac{c}{b} are in

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  4. Question 4

    Statistics. Asked once: NDA 2 2018

    114
    The set of bivariate observations (x1,y1),(x2,y2),…,(xn,yn)(x_1,y_1),(x_2,y_2),\ldots,(x_n,y_n) are such that all the values are distinct and all the observations fall on a straight line with non-zero slope. Then the possible values of the correlation coefficient between x and y are

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  5. Question 5 (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 tn=sin⁡nθ+cos⁡nθt_n = \sin^n\theta + \cos^n\theta.
    34
    What is t3−t5t5−t7\frac{t_3-t_5}{t_5-t_7} equal to?

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    35
    What is t12−t2t_1^2 - t_2 equal to?

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    36
    What is the value of t10t_{10} where θ=45°\theta=45°?

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