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Lines, Angles and Polygons

SSC CGL Quant. Try each one first, then open its answer.

Top 10 SSC CGL 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 4 times: 19 Sep 2025 S2, 19 Sep 2025 S3, 21 Sep 2025 S1, 23 Sep 2025 S2. This one: 23 Sep 2025 S2 See all 4 of this type

    58
    If the difference between the interior and exterior angles of a regular polygon is 100∘100^\circ, find the number of sides of the polygon.

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  2. Question 2

    This type asked 3 times: 17 Sep 2025 S3, 21 Sep 2025 S3, 22 Sep 2025 S3. This one: 22 Sep 2025 S3 See all 3 of this type

    70
    The sum of the measures of 77 interior angles of an 88-sided polygon is 1,000∘1,000^\circ. What is the measure of the 88th exterior angle?

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  3. Question 3

    Asked 2 times: 17 Sep 2025 S3*, 21 Sep 2025 S3 (* = numbers or wording changed that year) See all 2 times it was asked

    72
    The sum of all interior angles of a 20-sided polygon is:

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  4. Question 4

    Asked 2 times: 19 Sep 2025 S2*, 21 Sep 2025 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    72
    If the measure of an exterior angle of a regular polygon is 20∘20^\circ, determine the total number of its sides.

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  5. Question 5

    This type asked 2 times: 18 Sep 2025 S1, 26 Sep 2025 S2. This one: 26 Sep 2025 S2 See all 2 of this type

    57
    The sum of the interior angles of a regular polygon is six times the sum of its exterior angles. Determine the number of diagonals in the polygon.

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  6. Question 6

    This type asked 2 times: 18 Sep 2025 S2, 24 Sep 2025 S1. This one: 24 Sep 2025 S1 See all 2 of this type

    57
    What is the ratio of the interior angle of a regular hexagon to the interior angle of a regular 12-sided polygon (dodecagon)?

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  7. Question 7

    Asked once: 19 Sep 2025 S3 (same type asked 4 times) See all 4 of this type

    68
    A regular polygon has each interior angle measuring 150∘150^\circ. Find the number of its sides

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  8. Question 8

    Asked once: 18 Sep 2025 S1 (same type asked 2 times) See all 2 of this type

    67
    The number of diagonals in a hexagon is:

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  9. Question 9

    Asked once: 18 Sep 2025 S2 (same type asked 2 times) See all 2 of this type

    68
    What is the measure of each interior angle in a regular eight-sided polygon?

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  10. Question 10

    Asked once: 26 Sep 2025 S3

    68
    At an intersection of two lines, two angles are vertically opposite. If one of the angles measures 45∘45^\circ, what is the measure of the other angle?

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