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Day 74: CDS Maths

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

  1. Question 1

    Triangles. This type asked 2 times: CDS 2 2019, CDS 2 2023. This one: CDS 2 2023 See all 2 of this type

    59
    The hypotenuse AC of a right-angled ABC is 353\sqrt{5} cm. If AB is doubled and BC is tripled such that ABC remains a right-angled triangle, the hypotenuse becomes 15 cm. What is AB + BC equal to ?

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  2. Question 2

    Heights and Distances. This type asked 2 times: CDS 1 2018, CDS 1 2023. This one: CDS 1 2023 See all 2 of this type

    68
    ABCD is a square field with AB = x. A vertical pole OP of height 2x stands at the centre O of the square field. If ∠APO=θ\angle APO = \theta, then what is cot⁡θ\cot\theta equal to ?

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  3. Question 3

    Mensuration 2D. This type asked 2 times: CDS 1 2022, CDS 1 2023. This one: CDS 1 2023 See all 2 of this type

    61
    What is the area of the circle (approximately) inscribed in a triangle with side lengths 12 cm, 16 cm and 20 cm ?

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  4. Question 4

    Mensuration 2D. This type asked 2 times: CDS 2 2019, CDS 1 2023. This one: CDS 1 2023 See all 2 of this type

    85
    The plinth of a house has an area of 200 square metres. It is rectangular in shape and its length and breadth are in the ratio 2:12 : 1. The owner of the house extends the terrace by 1 m on each side. What is the percentage of area that has increased in the terrace relative to the plinth ?

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  5. Question 5

    Mensuration 3D. This type asked 2 times: CDS 1 2019, CDS 1 2023. This one: CDS 1 2023 See all 2 of this type

    87
    The volume of a cuboid is 3600 cubic cm. The areas of two adjacent faces are 225 square cm and 144 square cm. What is the area of the other adjacent face ?

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