PYQ Vault

Day 117: CDS Maths

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

  1. Question 1

    Circles. Asked once: CDS 1 2018 (same type asked 3 times) See all 3 of this type

    73
    The radii of two circles are 4.5 cm and 3.5 cm respectively. The distance between the centres of the circles is 10 cm. What is the length of the transverse common tangent ?

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  2. Question 2

    Mensuration 3D. Asked once: CDS 1 2022 (same type asked 3 times) See all 3 of this type

    89
    In a shower, 5 cm of rain falls. What is the volume of water that falls on 2 hectare area of land?

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  3. Question 3

    Number System. Asked once: CDS 1 2025 (same type asked 3 times) See all 3 of this type

    47
    What is the remainder when 2p−12^p - 1 is divided by p, where p>5p > 5 is a prime number ?

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  4. Question 4

    Quadratic Equations. Asked once: CDS 1 2025 (same type asked 3 times) See all 3 of this type

    82
    If two quadratic equations px2+px+4=0px^2 + px + 4 = 0 and x2+qx+q=0x^2 + qx + q = 0 have a common root 2, then what is p+qp + q equal to ?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 1 2021 (same type asked 3 times) See all 3 of this type

    38
    In a mixture of 80 litres of a liquid and water, 25% of the mixture is the liquid. How much water should be added to the mixture so that the liquid becomes 20% of the mixture?

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