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Day 197: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 2 2022 (same type asked 4 times) See all 4 of this type

    70
    The length of a room is 2116\frac{21}{16} times its breadth and breadth is 43\frac{4}{3} times its height. If H is the height of the room and L is the longest rod that can be placed in the room, then which one of the following is correct ?

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  2. Question 2

    Polynomials. Asked once: CDS 1 2020 (same type asked 4 times) See all 4 of this type

    13
    What are the values of pp and qq respectively, if (x−1)(x - 1) and (x+2)(x + 2) divide the polynomial x3+4x2+px+qx^{3} + 4x^{2} + px + q ?

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  3. Question 3

    Time, Speed and Distance. Asked once: CDS 1 2017 (same type asked 4 times) See all 4 of this type

    35
    A 225 m long train is running at a speed of 30 km/hour. How much time does it take to cross a man running at 3 km/hour in the same direction ?

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  4. Question 4

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

    83
    The areas of two similar triangles are (7−43)(7 - 4\sqrt{3}) cm2^2 and (7+43)(7 + 4\sqrt{3}) cm2^2 respectively. The ratio of their corresponding sides is

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  5. Question 5

    Logarithms. Asked once: CDS 2 2017 (same type asked 4 times) See all 4 of this type

    36
    If log⁡106=0.7782\log_{10} 6 = 0.7782 and log⁡108=0.9031\log_{10} 8 = 0.9031, then what is the value of log⁡108000+log⁡10600\log_{10} 8000 + \log_{10} 600 ?

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