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Day 101: CDS Maths

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

  1. Question 1

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

    53
    A sum of money at 20% rate of compound interest per annum becomes more than 100 times in n years. What is the least value of n ? (Use log⁡102=0.301\log_{10} 2 = 0.301, log⁡103=0.477\log_{10} 3 = 0.477)

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  2. Question 2

    Surds, Indices and Simplification. Asked once: CDS 2 2023 (same type asked 4 times) See all 4 of this type

    12
    If x=97+563x = 97 + 56\sqrt{3}, then what is the value of x4+1x4\sqrt[4]{x} + \dfrac{1}{\sqrt[4]{x}} ?

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  3. Question 3

    Time, Speed and Distance. Asked once: CDS 2 2025 (same type asked 4 times) See all 4 of this type

    51
    Two trains XX and YY are travelling in the same direction at 100 km/hr and 60 km/hr respectively. Train XX crosses a man in train YY in 9 seconds. What is the length of train XX?

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  4. Question 4

    Triangles. Asked once: CDS 1 2021 (same type asked 4 times) See all 4 of this type

    78
    Two isosceles triangles have equal vertical angles and their areas are in the ratio 4.84:5.294.84 : 5.29. What is the ratio of their corresponding heights?

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  5. Question 5

    Logarithms. Asked once: CDS 1 2021 (same type asked 4 times) See all 4 of this type

    41
    What is log⁡1031.25\log_{10} 31.25 equal to?

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