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Day 64: CDS Maths

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

  1. Question 1

    Mensuration 2D. This type asked 2 times: CDS 2 2021, CDS 1 2026. This one: CDS 1 2026 See all 2 of this type

    60
    The minute hand of a clock is 15 cm long and sweeps an area of 15π15\pi cm2\text{cm}^2 on the dial of the clock. How much angle does it describe during this period ?

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  2. Question 2

    Mensuration 2D. This type asked 2 times: CDS 2 2022, CDS 1 2026. This one: CDS 1 2026 See all 2 of this type

    62
    A square and a rectangle have the same perimeter p and their areas differ by q units. What is the square of the difference between the length and breadth of the rectangle ?

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  3. Question 3

    Mensuration 3D. This type asked 2 times: CDS 2 2025, CDS 1 2026. This one: CDS 1 2026 See all 2 of this type

    70
    Let x, y, z (all prime) be the length, breadth and height respectively of a cuboid with x>y>zx > y > z. The volume of the cuboid is 30k330k^3 cubic units, where k is a natural number. What is the total surface area of the cuboid ?

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  4. Question 4

    Mensuration 3D. This type asked 2 times: CDS 2 2018, CDS 1 2026. This one: CDS 1 2026 See all 2 of this type

    47
    Let x be the length of a diagonal of a face of a cube and y be the length of a diagonal of the cube. If x+y=(5+26)x + y = (5 + 2\sqrt{6}) units, then what is the total surface area of the cube ?

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  5. Question 5

    Quadrilaterals. This type asked 2 times: CDS 2 2022, CDS 1 2026. This one: CDS 1 2026 See all 2 of this type

    64
    ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. Which of the following statements is/are correct ? I. △PAD\triangle PAD is similar to △PBC\triangle PBC II. ∠PAD+∠PDA=∠PBC+∠PCB\angle PAD + \angle PDA = \angle PBC + \angle PCB Select the answer using the code given below :

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