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Quadrilaterals

CDS Maths. Try each one first, then open its answer.

Top 10 CDS PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 5 times: CDS 2 2017, CDS 1 2019, CDS 2 2022, CDS 2 2025, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    61
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABCD is a rhombus of side 10 cm. What is the sum of the squares of the diagonals of the rhombus ? Statement I : AC : BD = 3 : 4. Statement II : AC = 6 cm. Which one of the following is correct in respect of the above Question and Statements ?

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  2. Question 2

    This type asked 3 times: CDS 2 2020, CDS 1 2022, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    51
    In a cyclic quadrilateral ABCD, ∠A=(4x+3)∘\angle A = (4x + 3)^\circ, ∠B=(3y+9)∘\angle B = (3y + 9)^\circ, ∠C=(4y−3)∘\angle C = (4y - 3)^\circ, ∠D=(5x−10)∘\angle D = (5x - 10)^\circ. What is ∠A+∠B\angle A + \angle B equal to ?

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  3. Question 3

    This type asked 3 times: CDS 2 2020, CDS 1 2026, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    64
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABCD is a quadrilateral with AB = 6 cm, BC = 8 cm, CD = 454\sqrt{5} cm, DA = 252\sqrt{5} cm and inscribed in a circle. What is the diameter of the circle ? Statement I : The area of the quadrilateral is 44 cm2\text{cm}^2. Statement II : ∠ABC=90∘\angle ABC = 90^\circ. Which one of the following is correct in respect of the above Question and Statements ?

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  4. Question 4

    This type asked 3 times: CDS 1 2017, CDS 2 2018, CDS 1 2026. This one: CDS 1 2026 See all 3 of this type

    74
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : P, Q, R and S are respectively the mid-points of sides AB, BC, CD, DA of a rhombus ABCD. These points are joined to form a quadrilateral PQRS. Is the quadrilateral cyclic ? Statement-I : ∠ABC=120∘\angle ABC = 120^\circ Statement-II : ∠BCD=60∘\angle BCD = 60^\circ Which one of the following is correct in respect of the above Question and the Statements ?

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  5. Question 5

    This type asked 3 times: CDS 1 2017, CDS 2 2020, CDS 1 2021. This one: CDS 1 2021 See all 3 of this type

    76
    In a trapezium ABCDABCD, ABAB is parallel to DCDC. The diagonals ACAC and BDBD intersect at PP. If AP:PC=4:(4x−4)AP : PC = 4 : (4x - 4) and BP:PD=(2x−1):(2x+4)BP : PD = (2x - 1) : (2x + 4), then what is the value of xx?

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  6. Question 6

    Asked 2 times: CDS 2 2021*, CDS 2 2022 (* = numbers or wording changed that year) See all 2 times it was asked

    86
    The area of a rhombus is 96 square cm and one of its diagonals is of length 12 cm. What is the perimeter of the rhombus ?

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  7. Question 7

    This type asked 2 times: CDS 2 2025, CDS 2 2026. This one: CDS 2 2026 See all 2 of this type

    78
    ABCD is a parallelogram with ∠ABC=150∘\angle ABC = 150^\circ and the sides have integer values. If the area of the parallelogram is 17.5 cm2\text{cm}^2, then consider the following statements : I. It is possible to have a perimeter equal to 24 cm. II. It is possible to have a perimeter equal to 72 cm. Which of the statements given above is/are correct ?

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  8. Question 8

    This type asked 2 times: CDS 2 2022, CDS 1 2026. This one: CDS 1 2026 See all 2 of this type

    64
    ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. Which of the following statements is/are correct ? I. △PAD\triangle PAD is similar to △PBC\triangle PBC II. ∠PAD+∠PDA=∠PBC+∠PCB\angle PAD + \angle PDA = \angle PBC + \angle PCB Select the answer using the code given below :

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  9. Question 9

    This type asked 2 times: CDS 1 2024, CDS 2 2025. This one: CDS 2 2025 See all 2 of this type

    88
    A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : In a quadrilateral ABCD, AB=6AB = 6 units, BC=18BC = 18 units, CD=6CD = 6 units, DA=9DA = 9 units. What is the length of diagonal BD? Statement-I : The length of BD is an integer greater than 13. Statement-II : The length of BD is an even integer. Which one of the following is correct in respect of the above Question and the Statements?

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  10. Question 10

    This type asked 2 times: CDS 2 2019, CDS 2 2022. This one: CDS 2 2022 See all 2 of this type

    98
    ABCD is a trapezium in which AB is parallel to DC. The vertices A, B, C and D pass through a circle. Which of the following are correct ? 1. AD = BC 2. ∠A+∠C=180∘\angle A + \angle C = 180^\circ 3. ∠A+∠D=180∘\angle A + \angle D = 180^\circ Select the correct answer using the code given below :

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