PYQ Vault

Day 25: CDS Maths

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

  1. Question 1

    Ratio, Proportion and Variation. This type asked 4 times: CDS 2 2017, CDS 1 2018, CDS 1 2020, CDS 2 2022. This one: CDS 2 2022 See all 4 of this type

    31
    If a=3ba = 3b, 4b=5c4b = 5c, 6c=7d6c = 7d, then what is d+ad−a\dfrac{d + a}{d - a} equal to ?

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  2. Question 2

    Ratio, Proportion and Variation. This type asked 4 times: CDS 2 2019, CDS 2 2020, CDS 2 2021, CDS 2 2022. This one: CDS 2 2022 See all 4 of this type

    2
    If a+bb+c=c+dd+a\frac{a + b}{b + c} = \frac{c + d}{d + a} where a≠ca \ne c, then which one of the following is correct ?

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  3. Question 3

    Mensuration 2D. This type asked 4 times: CDS 1 2017, CDS 1 2020, CDS 2 2020, CDS 1 2022. This one: CDS 1 2022 See all 4 of this type

    18
    What is the area of the region enclosed by three identical circles (each of radius 4 cm) touching each other?

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  4. Question 4

    Logarithms. This type asked 4 times: CDS 2 2016, CDS 2 2020, CDS 1 2021, CDS 2 2021. This one: CDS 2 2021 See all 4 of this type

    20
    If 5x−1=(2.5)log⁡1055^{x-1}=(2.5)^{\log_{10}5}, then what is the value of xx ?

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  5. Question 5

    Mensuration 3D. This type asked 4 times: CDS 2 2016, CDS 1 2017, CDS 2 2020, CDS 2 2021. This one: CDS 2 2021 See all 4 of this type

    72
    How many silver coins, 3.5 cm in diameter and of thickness 4 mm, must be melted to form a cuboid of dimensions 21 cm ×\times 11 cm ×\times 7 cm ? (take π=227\pi = \frac{22}{7})

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