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Day 127: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked once: CDS 1 2024 (same type asked 2 times) See all 2 of this type

    13
    ABC is a right-angled triangle, right-angled at B such that AB = 6 cm and BC = 8 cm. What is the perimeter of the square inscribed in the triangle ABC with maximum area ?

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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

    71
    A cloth of 3 m width is used to make a conical tent 12 m in diameter with a slant height of 7 m. What is the length of the cloth? (Take π=227\pi = \frac{22}{7})

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  3. Question 3

    Mensuration 3D. Asked once: CDS 1 2023 (same type asked 2 times) See all 2 of this type

    69
    A solid iron ball is melted and 64 smaller solid balls of equal size are made using the entire volume of iron. What is the ratio of the surface area of the larger ball to the sum of the surface areas of all the smaller balls ?

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  4. Question 4

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

    24
    When NN is divided by 17, the quotient is equal to 182. The difference between the quotient and the remainder is 175. What is the value of NN ?

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  5. Question 5

    Percentage, Profit and Loss. Asked once: CDS 2 2020 (same type asked 2 times) See all 2 of this type

    21
    A shopkeeper sells his articles at their cost price but uses a faulty balance which reads 1000 gm for 800 gm. What is the actual profit percentage ?

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