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Day 317: CDS Maths

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

  1. Question 1

    Surds, Indices and Simplification. Asked once: CDS 1 2017

    5
    What is the square root of (0.35)2+0.70+12.25+0.19\dfrac{(0.35)^2 + 0.70 + 1}{2.25} + 0.19 ?

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  2. Question 2

    Triangles. Asked once: CDS 1 2022

    83
    ABCABC is a triangle right angled at BB. Let DD be the midpoint on ACAC. If BD=6.5BD = 6.5 cm, then what is AB2+BC2AB^2 + BC^2 equal to?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 2 2022

    78
    Triangle ABC is right-angled at C and AC=3 BCAC = \sqrt{3}\,BC. What is ∠ABC\angle ABC equal to ?

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  4. Question 4

    Algebraic Identities and Simplification. Asked once: CDS 2 2021

    21
    If 96−64a3+8a6−48a3−t3=096-64a^3+\dfrac{8}{a^6}-\dfrac{48}{a^3}-t^3=0, then what is a2t+4a3a^2t+4a^3 equal to ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 1 2022

    67
    A rectangle of length 10 units and breadth 8 units is split into two squares each of area xx square units and two rectangles each of area yy square units. Consider the following statements : 1. yy is always greater than xx. 2. yy can be 15 square units. Which of the above statements is/are correct?

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