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Day 268: CDS Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 4 parts)

    Data Interpretation. Asked once: CDS 1 2019

    Directions for the following four (04) items : Read the following information and answer the four items that follow : The data shows that Indian roads are turning deadlier over the years.
    Year2014201520162017
    Number of bikers killed40957460705275048746
    Number of pedestrians killed12330138941574620457
    Number of cyclists killed4037312525853559
    7
    What was the average number of pedestrians killed per day in the year 2017 ?

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    8
    What is the approximate percentage change in the pedestrians' fatalities during the period 2014-17 ?

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    9
    What is the average number of bikers killed daily in road accidents in the year 2017 ?

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    10
    What is the average number of cyclists killed daily in road accidents in 2017 ?

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  2. Question 2

    Heights and Distances. Asked once: CDS 2 2019

    23
    A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t+30)(t + 30) seconds. At time (t+x)(t + x) seconds, the plane flies vertically above the point P. What is x equal to ?

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  3. Question 3

    Linear Equations. Asked once: CDS 2 2020

    4
    The number of different solutions of the equation x+y+z=12x + y + z = 12, where each of xx, yy and zz is a positive integer, is

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  4. Question 4

    Lines, Angles and Polygons. Asked once: CDS 2 2017

    83
    There are 8 lines in a plane, no two of which are parallel. What is the maximum number of points at which they can intersect ?

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  5. Question 5

    Logarithms. Asked once: CDS 1 2019

    60
    Let XYZXYZ be an equilateral triangle in which XY=7XY = 7 cm. If AA denotes the area of the triangle, then what is the value of log⁡10A4\log_{10} A^4 ? (Given that log⁡101050=3.0212\log_{10} 1050 = 3.0212 and log⁡1035=1.5441\log_{10} 35 = 1.5441)

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