PYQ Vault

Day 161: CDS Maths

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

  1. Question 1

    Quadratic Equations. Asked once: CDS 1 2022 (same type asked 5 times) See all 5 of this type

    36
    If the sum of the roots of the equation x2−k2x+30kx−161x−64=0x^2 - k^2 x + 30kx - 161x - 64 = 0 is zero, then what is the difference of the roots?

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  2. Question 2

    Time, Speed and Distance. Asked once: CDS 2 2018 (same type asked 5 times) See all 5 of this type

    43
    A thief steals a car parked in a house and goes away with a speed of 40 kmph. The theft was discovered after half an hour and immediately the owner sets off in another car with a speed of 60 kmph. When will the owner meet the thief ?

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  3. Question 3

    Mensuration 2D. Asked once: CDS 1 2021 (same type asked 5 times) See all 5 of this type

    73
    A sector is cut from a circle of radius 21 cm. If the length of the arc of the sector is 55 cm, then what is the area of the sector?

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  4. Question 4

    Mensuration 3D. Asked once: CDS 2 2020 (same type asked 5 times) See all 5 of this type

    89
    The radii of the flat circular faces of a bucket are x and 2x. If the height of the bucket is 3x, what is the capacity of the bucket ? (Assume π=227\pi = \frac{22}{7})

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 1 2021 (same type asked 5 times) See all 5 of this type

    51
    Consider the following inequalities : 1. sin⁡1∘<cos⁡57∘\sin 1^\circ < \cos 57^\circ 2. cos⁡60∘>sin⁡57∘\cos 60^\circ > \sin 57^\circ Which of the above is/are correct?

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