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Day 166: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked once: CDS 1 2019 (same type asked 4 times) See all 4 of this type

    52
    A square is drawn such that its vertices are lying on a circle of radius 201 mm. What is the ratio of area of circle to that of square ?

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  2. Question 2

    Mensuration 3D. Asked once: CDS 2 2024 (same type asked 4 times) See all 4 of this type

    92
    The section of a solid right circular cone by a plane containing vertex and perpendicular to base is an equilateral triangle of side 14 cm. What is the volume of the cone ? (π=227)\left(\pi = \frac{22}{7}\right)

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  3. Question 3

    Percentage, Profit and Loss. Asked once: CDS 1 2022 (same type asked 4 times) See all 4 of this type

    32
    A shopkeeper marks the price of an article at Rs. 200. After allowing a discount of 10%, he still gains 20% on the cost price. What is the cost price of the article?

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  4. Question 4

    Polynomials. Asked once: CDS 1 2017 (same type asked 4 times) See all 4 of this type

    41
    What is the LCM of x3+8x^3 + 8, x2+5x+6x^2 + 5x + 6 and x3+4x2+4xx^3 + 4x^2 + 4x ?

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  5. Question 5

    Surds, Indices and Simplification. Asked once: CDS 1 2021 (same type asked 4 times) See all 4 of this type

    8
    If p=3q+2+3q−23q+2−3q−2p = \frac{\sqrt{3q + 2} + \sqrt{3q - 2}}{\sqrt{3q + 2} - \sqrt{3q - 2}} then what is the value of p2−3pq+2p^2 - 3pq + 2?

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