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Day 45: CDS Maths

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

  1. Question 1

    Triangles. This type asked 3 times: CDS 2 2019, CDS 2 2020, CDS 1 2021. This one: CDS 1 2021 See all 3 of this type

    81
    The sides of a right-angled triangle are in the ratio x:(x−1):(x−18)x : (x - 1) : (x - 18). What is the perimeter of the triangle?

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  2. Question 2

    Mensuration 3D. This type asked 3 times: CDS 2 2018, CDS 1 2019, CDS 2 2020. This one: CDS 2 2020 See all 3 of this type

    77
    The volumes of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5. What is the ratio of their heights ?

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  3. Question 3

    Linear Equations. This type asked 3 times: CDS 1 2017, CDS 1 2019, CDS 1 2020. This one: CDS 1 2020 See all 3 of this type

    42
    How many integral values of xx and yy satisfy the equation 5x+9y=75x + 9y = 7, where −500<x<500-500 < x < 500 and −500<y<500-500 < y < 500?

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  4. Question 4

    Time, Speed and Distance. This type asked 3 times: CDS 1 2017, CDS 2 2017, CDS 1 2020. This one: CDS 1 2020 See all 3 of this type

    28
    The ratio of speeds of XX and YY is 5:65 : 6. If YY allows XX a start of 70 m in a 1.2 km race, then who will win the race and by what distance ?

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  5. Question 5

    Triangles. This type asked 3 times: CDS 2 2017, CDS 1 2018, CDS 1 2019. This one: CDS 1 2019 See all 3 of this type

    29
    Which one of the following is correct in respect of a right angled triangle ?

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