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Day 334: CDS Maths

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

  1. Question 1

    Triangles. Asked once: CDS 1 2019

    63
    If one side of a right-angled triangle (with all sides integers) is 15 cm, then what is the maximum perimeter of the triangle ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 2 2019

    53
    Suppose 0<θ<90∘0 < \theta < 90^\circ, then for every θ\theta, 4sin⁡2θ+14 \sin^2 \theta + 1 is greater than or equal to

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: CDS 1 2017

    10
    What is the value of (443+547)2+(443−547)2443×443+547×547\dfrac{(443 + 547)^2 + (443 - 547)^2}{443 \times 443 + 547 \times 547} ?

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  4. Question 4

    Mensuration 2D. Asked once: CDS 2 2019

    71
    In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 10% respectively, then its perimeter increases by

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  5. Question 5

    Mensuration 3D. Asked once: CDS 1 2017

    73
    A ball of radius 1 cm is put into a cylindrical pipe so that it fits inside the pipe. If the length of the pipe is 14 m, what is the surface area of the pipe ?

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