PYQ Vault

Day 172: CDS Maths

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: CDS 1 2018 (same type asked 3 times) See all 3 of this type

    10
    If x+y+z=0x + y + z = 0, then what is (y+z−x)3+(z+x−y)3+(x+y−z)3(y + z - x)^3 + (z + x - y)^3 + (x + y - z)^3 equal to?

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  2. Question 2

    Mensuration 2D. Asked once: CDS 2 2019 (same type asked 3 times) See all 3 of this type

    76
    The corners of a square of side 'a' are cut away so as to form a regular octagon. What is the side of the octagon ?

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  3. Question 3

    Mensuration 3D. Asked once: CDS 2 2020 (same type asked 3 times) See all 3 of this type

    22
    A river 3 m deep and 40 m wide is flowing at the rate of 2 km/hr and falls into the sea. What is the amount of water in litres that will fall into the sea from this river in a minute ?

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  4. Question 4

    Quadrilaterals. Asked once: CDS 2 2020 (same type asked 3 times) See all 3 of this type

    63
    ABCD is a cyclic quadrilateral. The bisectors of the angles A, B, C and D cut the circle at P, Q, R and S respectively. What is ∠PQR+∠RSP\angle PQR + \angle RSP equal to ?

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  5. Question 5

    Quadrilaterals. Asked once: CDS 1 2026 (same type asked 3 times) See all 3 of this type

    59
    ABCD is a quadrilateral with sides AB=9AB = 9 cm, BC=40BC = 40 cm, CD=28CD = 28 cm and DA=15DA = 15 cm and one of the diagonals AC=41AC = 41 cm. Which of the following statements is/are correct ? I. The vertices A, B, C and D of the quadrilateral lie on a circle. II. The area of triangle ACD is 126126 cm2^2. Select the answer using the code given below :

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