PYQ Vault

Day 126: CDS Maths

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

  1. Question 1

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

    11
    If (x+3)(x + 3) is a factor of x3+3x2+4x+kx^3 + 3x^2 + 4x + k, then what is the value of kk?

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  2. Question 2

    Algebraic Identities and Simplification. Asked once: CDS 1 2021 (same type asked 2 times) See all 2 of this type

    12
    What should be added to 1(x−2)(x−4)\frac{1}{(x - 2)(x - 4)} to get 2x−5(x2−5x+6)(x−4)\frac{2x - 5}{(x^2 - 5x + 6)(x - 4)}?

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  3. Question 3

    Circles. Asked once: CDS 1 2019 (same type asked 2 times) See all 2 of this type

    38
    A line segment ABAB is the diameter of a circle with centre at OO having radius 6.5 cm. Point PP is in the plane of the circle such that AP=xAP = x and BP=yBP = y. In which one of the following cases the point PP does not lie on the circle ?

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  4. Question 4

    Mensuration 2D. Asked once: CDS 1 2025 (same type asked 2 times) See all 2 of this type

    16
    In a triangle ABC, AB + BC = 7.1 cm, BC + CA = 12.1 cm and CA + AB = 7.2 cm. What is the area of the triangle ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 2 2022 (same type asked 2 times) See all 2 of this type

    85
    A square copper plate of side 16 cm weighs 128 gm. A circular disc of diameter 14 cm is cut off from the plate. What is the weight of the remaining part ? (π=227)(\pi = \frac{22}{7})

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