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Day 26: CDS Maths

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

  1. Question 1

    Time, Speed and Distance. This type asked 4 times: CDS 2 2017, CDS 2 2018, CDS 2 2019, CDS 1 2021. This one: CDS 1 2021 See all 4 of this type

    34
    A train travels 600 km in 5 hours and the next 900 km in 10 hours. What is the average speed of the train?

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  2. Question 2

    Time, Speed and Distance. This type asked 4 times: CDS 1 2018, CDS 2 2018, CDS 2 2020, CDS 1 2021. This one: CDS 1 2021 See all 4 of this type

    29
    A train 200 m long passes a platform 100 m long in 10 seconds. What is the speed of the train?

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  3. Question 3

    Percentage, Profit and Loss. This type asked 4 times: CDS 1 2017, CDS 1 2019, CDS 2 2019, CDS 2 2020. This one: CDS 2 2020 See all 4 of this type

    72
    The length of a rectangle is increased by 10% and breadth is decreased by 10%. Then the area of the new rectangle is

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  4. Question 4

    Trigonometric Ratios and Identities. This type asked 4 times: CDS 2 2016, CDS 1 2018, CDS 2 2019, CDS 1 2020. This one: CDS 1 2020 See all 4 of this type

    53
    Let 0<θ<90∘0 < \theta < 90^\circ and 100θ=90∘100\theta = 90^\circ. If α=∏n=199cot⁡nθ\alpha = \prod_{n=1}^{99} \cot n\theta, then which one of the following is correct?

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  5. Question 5

    Surds, Indices and Simplification. Asked 3 times: CDS 1 2017*, CDS 2 2018*, CDS 2 2026 (* = numbers or wording changed that year) See all 3 times it was asked

    30
    If x=3−31/3−32/3x = 3 - 3^{1/3} - 3^{2/3}, then what is x(x−3)(x−6)x(x - 3)(x - 6) equal to ?

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