PYQ Vault

Day 181: CDS Maths

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: CDS 1 2021 (same type asked 3 times) See all 3 of this type

    11
    The expression (x3−1)(x2−9x+14)(x2+x+1)(x2−8x+7)\frac{(x^3 - 1)(x^2 - 9x + 14)}{(x^2 + x + 1)(x^2 - 8x + 7)} simplifies to

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  2. Question 2

    Sequence and Series. Asked once: CDS 2 2018 (same type asked 3 times) See all 3 of this type

    22
    If H is the harmonic mean of P and Q, then the value of HP+HQ\frac{H}{P} + \frac{H}{Q} is

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  3. Question 3

    Data Interpretation. Asked once: CDS 1 2021 (same type asked 3 times) See all 3 of this type

    91
    Consider the following data with regard to production of cars (in lakhs) :
    Year 2015Year 2016
    Country AA3538
    Country BB4547
    Country CC8893
    Country DD7579
    Country EE5860.9
    In which of the countries, the production of cars has increased by more than or equal to 5% in 2016 over 2015?

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  4. Question 4

    Mensuration 2D. Asked once: CDS 2 2016 (same type asked 3 times) See all 3 of this type

    67
    The wheels of a car are of diameter 80 cm each. The car is travelling at a speed of 66 km/hour. What is the number of complete revolutions each wheel makes in 10 minutes ?

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  5. Question 5

    Mensuration 3D. Asked once: CDS 2 2016 (same type asked 3 times) See all 3 of this type

    51
    The radius of the base and the height of a solid right circular cylinder are in the ratio 2 : 3 and its volume is 1617 cm31617\ \text{cm}^3. What is the total surface area of the cylinder ?

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