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Day 272: CDS Maths

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: CDS 2 2024

    29
    If x3+1x3=658x^3 + \dfrac{1}{x^3} = \dfrac{65}{8} and y3+1y3=73027y^3 + \dfrac{1}{y^3} = \dfrac{730}{27}, then which one of the following is a value of xyxy ?

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  2. Question 2

    Circles. Asked once: CDS 1 2021

    90
    A circle touches all the four sides of a quadrilateral ABCDABCD. If AB=9AB = 9 cm, BC=8BC = 8 cm and CD=12CD = 12 cm, then what is DADA equal to?

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  3. Question 3 (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 : Let the distribution of number of scooters of companies XX and YY sold by 5 showrooms (AA, BB, CC, DD and EE) in a certain year be denoted by S1S1 and the distribution of number of scooters of only company XX sold by the five showrooms in the same year be denoted by S2S2.
    ShowroomABCDETotal number of scooters sold
    S1S1 (in %)19211533126400
    S2S2 (in %)2418203083000
    3
    Number of scooters of company YY sold by showroom EE is what per cent of the number of scooters of both companies sold by showroom CC ?

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    4
    Number of scooters of both the companies sold by showroom BB is what per cent more than the number of scooters of company XX sold by showroom AA ?

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    5
    What is the average number of scooters of company YY sold by the showrooms AA, CC and EE ?

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    6
    What is the difference between the number of scooters of both companies sold by showroom AA and total number of scooters of company XX sold by showrooms BB and EE together ?

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  4. Question 4

    Heights and Distances. Asked once: CDS 2 2018

    63
    On the top of a hemispherical dome of radius r, there stands a flag of height h. From a point on the ground, the elevation of the top of the flag is 30∘30^\circ. After moving a distance d towards the dome, when the flag is just visible, the elevation is 45∘45^\circ. The ratio of h to r is equal to

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  5. Question 5

    Linear Equations. Asked once: CDS 2 2020

    28
    Mahesh is 60 years old. Ram is 5 years younger to Mahesh and 4 years elder to Raju. Babu is a younger brother of Raju and he is 6 years younger. What is the age difference between Mahesh and Babu ?

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