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Day 57: CDS Maths

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

  1. Question 1

    Lines, Angles and Polygons. Asked 2 times: CDS 1 2017*, CDS 1 2020 (* = numbers or wording changed that year) See all 2 times it was asked

    97
    In the given figure ABAB is parallel to CDCD and ACAC is parallel to BDBD. If ∠EAC=40∘\angle EAC = 40^\circ, ∠FDG=55∘\angle FDG = 55^\circ, ∠HAB=x∘\angle HAB = x^\circ, then what is the value of xx?

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  2. Question 2

    Surds, Indices and Simplification. Asked 2 times: CDS 2 2017*, CDS 1 2020 (* = numbers or wording changed that year) See all 2 times it was asked

    25
    If the points PP and QQ represent real numbers 0.73‾0.7\overline{3} and 0.56‾0.5\overline{6} on the number line, then what is the distance between PP and QQ ?

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  3. Question 3

    Circles. Asked 2 times: CDS 1 2017*, CDS 2 2019 (* = numbers or wording changed that year) See all 2 times it was asked

    74
    If the lengths of two parallel chords in a circle of radius 10 cm are 12 cm and 16 cm, then what is the distance between these two chords ?

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  4. Question 4

    Heights and Distances. Asked 2 times: CDS 1 2017*, CDS 2 2019 (* = numbers or wording changed that year) See all 2 times it was asked

    54
    Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30∘30^\circ, and the angle of elevation to the top of the tower at C is 45∘45^\circ. What is the ratio of the height of towers at B and C ?

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  5. Question 5

    Inequalities. Asked 2 times: CDS 2 2018*, CDS 2 2019 (* = numbers or wording changed that year) See all 2 times it was asked

    49
    For the inequation x2−7x+12>0x^2 - 7x + 12 > 0, which one of the following is correct ?

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