PYQ Vault

Day 122: CDS Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1

    Time, Speed and Distance. Asked once: CDS 2 2021 (same type asked 3 times) See all 3 of this type

    38
    Between 3 and 4 O'clock, both hour hand and minute hand will coincide past 3 O'clock between

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 1 2017 (same type asked 3 times) See all 3 of this type

    60
    What is the minimum value of 9tan⁡2θ+4cot⁡2θ9 \tan^2 \theta + 4 \cot^2 \theta ?

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  3. Question 3 (case study, 4 parts)

    Data Interpretation. Asked once: CDS 2 2021 (same type asked 3 times) See all 3 of this type

    Consider the following for the next four (04) items that follow : The following Bar-Chart gives the production of cars by three different companies XX, YY and ZZ in different years :
    95
    The percentage increase in the total production of cars from 2014 to 2018 was

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    96
    Consider the production of each company separately. In how many instances was the percentage increase in production of cars over the previous year's production greater than 20% ?

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    97
    In which year was the percentage increase in production of cars minimum as compared to its previous year ?

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    98
    In one of the years the percentage increase in production of cars was minimum as compared to its previous year. What was the minimum percentage ?

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  4. Question 4

    Mensuration 2D. Asked once: CDS 2 2020 (same type asked 3 times) See all 3 of this type

    76
    A bicycle wheel makes 5000 revolutions in moving 11 km. What is the radius of the wheel ? (Assume π=227\pi = \frac{22}{7})

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  5. Question 5

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

    63
    The ratio of the radius of base to the height of a cylinder is 2:32:3. If the volume of the cylinder is 1617 cm3^3, then what is the curved surface area of the cylinder? (Take π=227\pi = \frac{22}{7})

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