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Day 141: CDS Maths

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

  1. Question 1

    Triangles. Asked once: CDS 2 2017 (same type asked 2 times) See all 2 of this type

    82
    One-fifth of the area of a triangle ABC is cut off by a line DE drawn parallel to BC such that D is on AB and E is on AC. If BC = 10 cm, then what is DE equal to ?

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  2. Question 2

    Mensuration 3D. Asked once: CDS 1 2021 (same type asked 2 times) See all 2 of this type

    80
    The surface area of a cube is equal to that of a sphere. If xx is the volume of the cube and yy is the volume of the sphere, then what is x2:y2x^2 : y^2 equal to?

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  3. Question 3

    Number System. Asked once: CDS 1 2022 (same type asked 2 times) See all 2 of this type

    16
    What is the least value of nn if 194480+n=m4194480 + n = m^4, where mm and nn are natural numbers?

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  4. Question 4

    Quadratic Equations. Asked once: CDS 1 2018 (same type asked 2 times) See all 2 of this type

    20
    The sum of a number and its square is 20. Then the number is

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  5. Question 5

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

    85
    The sides of a triangle ABCABC are 4 cm, 6 cm and 8 cm. With the vertices of the triangle as centres, three circles are drawn each touching the other two externally. What is the sum of the radii of the three circles?

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