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Lines, Angles and Polygons

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 2020, CDS 1 2022, CDS 1 2024, CDS 2 2024, CDS 2 2025. This one: CDS 2 2025 See all 5 of this type

    73
    The difference between an interior angle and an exterior angle of a regular polygon is 120∘120^\circ. What is the number of sides of the polygon?

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  2. Question 2

    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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  3. Question 3

    This type asked 2 times: CDS 2 2018, CDS 2 2025. This one: CDS 2 2025 See all 2 of this type

    74
    An angle θ\theta is exactly one-fourth of its complementary angle. What is the value of angle θ\theta ?

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  4. Question 4

    This type asked 2 times: CDS 1 2018, CDS 1 2019. This one: CDS 1 2019 See all 2 of this type

    27
    Three parallel lines xx, yy and zz are cut by two transversals mm and nn. Transversal mm cuts the lines xx, yy, zz at PP, QQ, RR respectively; and Transversal nn cuts the lines xx, yy, zz at LL, MM, NN respectively. If PQ=3PQ = 3 cm, QR=9QR = 9 cm and MN=10.5MN = 10.5 cm, then what is the length of LMLM ?

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  5. Question 5

    Asked once: CDS 2 2024 (same type asked 5 times) See all 5 of this type

    95
    The ratio of sum of interior angles to sum of exterior angles of a regular polygon of nn sides is 72\frac{7}{2}. What is the measure of an interior angle of polygon ?

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  6. Question 6

    Asked once: CDS 2 2018 (same type asked 2 times) See all 2 of this type

    87
    If two lines AB and CD intersect at O such that ∠AOC=5∠AOD\angle AOC = 5 \angle AOD, then the four angles at O are

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  7. Question 7

    Asked once: CDS 1 2018 (same type asked 2 times) See all 2 of this type

    97
    In the figure given below, p, q, r are parallel lines; ll and m are two transversals. Consider the following : 1. AB : AC = DE : DF 2. AB×EF=BC×DEAB \times EF = BC \times DE Which of the above is/are correct ?

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  8. Question 8

    Asked once: CDS 1 2022 (same type asked 5 times) See all 5 of this type

    1
    What is the ratio of interior angle to exterior angle of a regular polygon of nn sides?

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  9. Question 9

    Asked once: CDS 2 2020 (same type asked 5 times) See all 5 of this type

    75
    If the sum of all interior angles of a regular polygon is twice the sum of all its exterior angles, then the polygon is

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  10. Question 10

    Asked once: CDS 2 2025

    70
    Consider the following angles : I. 4∘4^\circ II. 5∘5^\circ III. 6∘6^\circ IV. 8∘8^\circ How many of the above can be the exterior angle of a regular polygon?

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