PYQ Vault

Quadrilaterals

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

Top 9 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

    Asked 2 times: 11 Sep 2024 S1*, 17 Sep 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    63
    In a rhombus PQRS, O is any interior point such that OP = OR. What is the degree measure of ∠SOQ\angle SOQ?

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  2. Question 2

    This type asked 2 times: 12 Sep 2025 S2, 24 Sep 2025 S1. This one: 24 Sep 2025 S1 See all 2 of this type

    65
    In a quadrilateral ABCD, angles A,B,C are in the ratio 1:2:31:2:3. If angle D=120∘D=120^\circ, what is angle A?

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  3. Question 3

    Asked once: 12 Sep 2025 S2 (same type asked 2 times) See all 2 of this type

    74
    The angles of a cyclic quadrilateral are in the ratio 1:2:3:4. What is the measure of the smallest angle?

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  4. Question 4

    Asked once: 21 Sep 2025 S1

    59
    Consider a right trapezoidal field. Its two parallel sides are 30 meters and 50 meters long. One of its non-parallel sides, which acts as the height, measures 20 meters. What is the area of this field?

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  5. Question 5

    Asked once: 19 Sep 2025 S1

    68
    A parallelogram is a quadrilateral in which:

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  6. Question 6

    Asked once: 17 Sep 2025 S2

    69
    In a trapezoid ABCD with AB parallel to CD, the diagonals AC and BD intersect at E. What is the ratio of the area of △ABE\triangle ABE to the area of △CDE\triangle CDE?

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  7. Question 7

    Asked once: 25 Sep 2024 S2

    54
    In a quadrilateral ABCD, AB = BC, AD = DC. ∠ABD=68∘\angle ABD = 68^\circ, ∠ADB=(2y−7)∘\angle ADB = (2y-7)^\circ, ∠BDC=33∘\angle BDC = 33^\circ, ∠DBC=(3x+2)∘\angle DBC = (3x+2)^\circ. Then the value of 2x+3y is:

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  8. Question 8

    Asked once: 19 Sep 2024 S1

    60
    WXYZ is a quadrilateral in which XQ and ZP are perpendicular to WY such that XQ = ZP. Diagonals ZX and WY intersect each other at point O. If OX = 12 cm, then find the value of ZX (in cm).

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  9. Question 9

    Asked once: 18 Sep 2024 S3

    57
    The side MN of a parallelogram MNOP is produced to Q such that MN = NQ. PQ intersects ON at R. The point R divides ON in the ratio:

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