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Day 316: CDS Maths

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: CDS 1 2022

    6
    What is the value of the following? (5.4)3−0.064(5.4)2+2.16+0.16\frac{(5.4)^3 - 0.064}{(5.4)^2 + 2.16 + 0.16}

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  2. Question 2

    Mensuration 2D. Asked once: CDS 1 2022

    71
    An equilateral triangular sheet is formed by joining 9 equilateral triangular sheets each of area 939\sqrt{3} cm2\text{cm}^2. What is the height of the bigger triangular sheet?

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  3. Question 3

    Mensuration 3D. Asked once: CDS 1 2019

    67
    The volume of a hemisphere is 155232 cm3\text{cm}^3. What is the radius of the hemisphere ?

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  4. Question 4

    Number System. Asked once: CDS 1 2023

    26
    Let m and n be natural numbers. What is the minimum value of (m+n)(m + n) such that 33m+22n33m + 22n is divisible by 121?

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  5. Question 5

    Quadratic Equations. Asked once: CDS 2 2017

    24
    If kk is an integer, then x2+7x−14(k2−78)=0x^2 + 7x - 14\left(k^2 - \frac{7}{8}\right) = 0 has

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