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Day 212: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 2 2021 (same type asked 4 times) See all 4 of this type

    66
    The length and breadth of a room are 21 m and 16 m respectively. If the length of the longest rod that can be placed in the room is 29 m, then what is the height of the room ?

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  2. Question 2

    Triangles. Asked once: CDS 2 2020 (same type asked 4 times) See all 4 of this type

    87
    ABC is a triangle right-angled at C. Let P be any point on AC and Q be any point on BC. Which of the following statements is/are correct ? 1. AQ2+BP2=AB2+PQ2AQ^2 + BP^2 = AB^2 + PQ^2 2. AB=2PQAB = 2PQ Select the correct answer using the code given below :

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 1 2017 (same type asked 4 times) See all 4 of this type

    68
    If x=acos⁡θ+bsin⁡θx = a \cos \theta + b \sin \theta and y=asin⁡θ−bcos⁡θy = a \sin \theta - b \cos \theta, then what is x2+y2x^2 + y^2 equal to ?

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  4. Question 4

    Surds, Indices and Simplification. Asked once: CDS 1 2017 (same type asked 4 times) See all 4 of this type

    9
    If x=a+b−a−ba+b+a−bx = \dfrac{\sqrt{a + b} - \sqrt{a - b}}{\sqrt{a + b} + \sqrt{a - b}}, then what is bx2−2ax+bbx^2 - 2ax + b equal to (b≠0)(b \ne 0) ?

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  5. Question 5

    Mensuration 3D. Asked once: CDS 1 2017 (same type asked 4 times) See all 4 of this type

    87
    Ice-cream, completely filled in a cylinder of diameter 35 cm and height 32 cm, is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of persons that can be served in this way is

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