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Day 17: 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 1 2017, CDS 2 2023, CDS 2 2025, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type

    6
    A train completely crossed two persons X and Y moving in the same direction as the train in 8 seconds and 8.1 seconds respectively. X is walking at a uniform speed of 3 km/hr and Y is walking at a uniform speed of 4 km/hr. What is the speed of the train ?

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  2. Question 2

    Triangles. This type asked 4 times: CDS 2 2018, CDS 1 2019, CDS 1 2021, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type

    68
    Consider the following statements : I. The areas of two similar triangles are in the ratio of the squares of the corresponding medians. II. The areas of two similar triangles are in the ratio of the squares of the corresponding heights. Which of the statements given above is/are correct ?

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  3. Question 3

    Logarithms. This type asked 4 times: CDS 2 2017, CDS 2 2018, CDS 1 2021, CDS 1 2026. This one: CDS 1 2026 See all 4 of this type

    29
    If log⁡10(80)=p\log_{10}(80) = p, log⁡10(45)=q\log_{10}(45) = q and log⁡10(216)=r\log_{10}(216) = r, then what is log⁡10(384)\log_{10}(384) equal to ?

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  4. Question 4

    Mensuration 2D. This type asked 4 times: CDS 2 2018, CDS 2 2022, CDS 1 2025, CDS 1 2026. This one: CDS 1 2026 See all 4 of this type

    71
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : A circle is inscribed in the equilateral triangle Δ\Delta. What is the radius of the circle ? Statement-I : Area of Δ\Delta is equal to 16316\sqrt{3} cm2\text{cm}^2. Statement-II : Perimeter of Δ\Delta is 24 cm. Which one of the following is correct in respect of the above Question and the Statements ?

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  5. Question 5

    Simple and Compound Interest. This type asked 4 times: CDS 2 2022, CDS 2 2023, CDS 1 2025, CDS 1 2026. This one: CDS 1 2026 See all 4 of this type

    12
    In what duration of time will Rs. 3300 become Rs. 3399 at 12% per annum interest compounded quarterly ?

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