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Day 53: CDS Maths

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

  1. Question 1

    Number System. Asked 2 times: CDS 2 2018*, CDS 1 2022 (* = numbers or wording changed that year) See all 2 times it was asked

    35
    What is the number of divisors of 1000 (excluding 1 and 1000)?

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  2. Question 2

    Triangles. Asked 2 times: CDS 2 2020, CDS 1 2022 See all 2 times it was asked

    81
    In a triangle ABCABC, AB=16AB = 16 cm, AC=12AC = 12 cm and ADAD is the bisector of ∠A\angle A. If BD=4BD = 4 cm, then what is CDCD equal to?

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  3. Question 3

    Linear Equations. Asked 2 times: CDS 1 2017*, CDS 2 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    36
    If the system of equations 7x+ky=277x+ky=27 and kx+7y=19kx+7y=19 have unique solution, then which one of the following is correct ?

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  4. Question 4

    Mensuration 3D. Asked 2 times: CDS 1 2019*, CDS 2 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    70
    3 cubes each of volume 343 cm3^3 are joined end to end. What is the total surface area of the resulting cuboid ?

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  5. Question 5

    Mensuration 3D. Asked 2 times: CDS 1 2021*, CDS 2 2021 (* = numbers or wording changed that year) See all 2 times it was asked

    68
    A hollow spherical shell is made of a metal of density 7 g/cm3^3. If its internal and external radii are 3 cm and 6 cm respectively, then what is the mass of the shell ? (take π=227\pi = \frac{22}{7})

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