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Day 164: CDS Maths

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

  1. Question 1

    Time, Speed and Distance. Asked once: CDS 2 2023 (same type asked 4 times) See all 4 of this type

    78
    A train completely overtakes two persons, walking in the same direction with speeds 3 km/hr and 4 km/hr in 9 seconds and 758\frac{75}{8} seconds respectively. What is the length of the train ?

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  2. Question 2

    Triangles. Asked once: CDS 1 2019 (same type asked 4 times) See all 4 of this type

    45
    Let two lines pp and qq be parallel. Consider two points BB and CC on the line pp and two points DD and EE on the line qq. The line through BB and EE intersects the line through CC and DD at AA in between the two lines pp and qq. If AC:AD=4:9AC : AD = 4 : 9, then what is the ratio of area of triangle ABCABC to that of triangle ADEADE ?

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  3. Question 3

    Logarithms. Asked once: CDS 2 2018 (same type asked 4 times) See all 4 of this type

    14
    If log⁡102=0.3010\log_{10} 2 = 0.3010 and log⁡103=0.4771\log_{10} 3 = 0.4771, then the value of log⁡100(0.72)\log_{100} (0.72) is equal to

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  4. Question 4

    Mensuration 2D. Asked once: CDS 2 2022 (same type asked 4 times) See all 4 of this type

    94
    In an equilateral triangle of side 232\sqrt{3} cm, a circle is inscribed touching the sides. What is the area of the remaining portion of the triangle ?

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  5. Question 5

    Simple and Compound Interest. Asked once: CDS 2 2023 (same type asked 4 times) See all 4 of this type

    5
    A person borrowed Rs. 10,000 at 12% rate of interest per annum compounded quarterly for a period of 9 months. What is the interest paid by him to settle his account after 9 months ?

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