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Day 143: CDS Maths

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

  1. Question 1

    Quadratic Equations. Asked once: CDS 1 2019 (same type asked 2 times) See all 2 of this type

    88
    The sum of the squares of four consecutive natural numbers is 294. What is the sum of the numbers ?

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  2. Question 2

    Quadrilaterals. Asked once: CDS 2 2017 (same type asked 2 times) See all 2 of this type

    64
    The diagonals of a cyclic quadrilateral ABCD intersect at P and the area of the triangle APB is 24 square cm. If AB = 8 cm and CD = 5 cm, then what is the area of the triangle CPD ?

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  3. Question 3

    Triangles. Asked once: CDS 1 2019 (same type asked 2 times) See all 2 of this type

    39
    The perimeters of two similar triangles ABCABC and PQRPQR are 75 cm and 50 cm respectively. If the length of one side of the triangle PQRPQR is 20 cm, then what is the length of corresponding side of the triangle ABCABC ?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 1 2017 (same type asked 2 times) See all 2 of this type

    62
    If cos⁡θ1+cos⁡θ2+cos⁡θ3=3\cos \theta_1 + \cos \theta_2 + \cos \theta_3 = 3, then what is sin⁡θ1+sin⁡θ2+sin⁡θ3\sin \theta_1 + \sin \theta_2 + \sin \theta_3 equal to ?

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: CDS 1 2018 (same type asked 2 times) See all 2 of this type

    8
    If by+zc=1\frac{b}{y} + \frac{z}{c} = 1 and cz+xa=1\frac{c}{z} + \frac{x}{a} = 1, then what is ab+xybx\frac{ab + xy}{bx} equal to?

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