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Day 55: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked 2 times: CDS 1 2018*, CDS 1 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    74
    A wire is in the form of a circle of radius 70 cm. If it is bent in the form of a rhombus, then what is its side length? (Take π=227\pi = \frac{22}{7})

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  2. Question 2

    Percentage, Profit and Loss. Asked 2 times: CDS 2 2017*, CDS 1 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    31
    A trader gives successive discounts of 20%, 10% and 5% respectively. What is the overall discount?

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  3. Question 3

    Quadratic Equations. Asked 2 times: CDS 1 2019*, CDS 1 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    24
    If the sum as well as the product of the roots of the equation px2−6x+q=0px^2 - 6x + q = 0 is 6, then what is (p+q)(p + q) equal to?

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  4. Question 4

    Time and Work. Asked 2 times: CDS 2 2018*, CDS 1 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    39
    If 20 persons can clean 20 floors in 20 days, then in how many days can 16 persons clean 16 floors?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked 2 times: CDS 2 2016, CDS 1 2021 See all 2 times it was asked

    48
    If p=sin⁡2θ+cos⁡4θp = \sin^2 \theta + \cos^4 \theta for 0≤θ≤π20 \le \theta \le \frac{\pi}{2}, then consider the following statements : 1. pp can be less than 34\frac{3}{4}. 2. pp can be more than 1. Which of the above statements is/are correct?

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