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Quadrilaterals

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

Top 8 SSC CGL Tier II 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: 8 Aug 2022 Tier II*, 20 Jan 2025 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    18
    ABCD is a quadrilateral in which diagonal BD = 70 cm, AL⊥BDAL \perp BD and CM⊥BDCM \perp BD such that AL = 18 cm and CM = 20. Find the area (in cm2\text{cm}^2) of the quadrilateral ABCD.

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  2. Question 2

    Asked once: 7 Mar 2023 Tier II

    6
    In a trapezium ABCD, AB and DC are parallel to each other with a perpendicular distance of 8 m between them. Also, (AD) = (BC) = 10 m, and (AB) = 15 m << (DC). What is the perimeter (in m) of the trapezium ABCD?

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  3. Question 3

    Asked once: 7 Mar 2023 Tier II

    16
    PQRS is a cyclic quadrilateral. If ∠P\angle P is three times of ∠R\angle R and ∠S\angle S is four times of ∠Q\angle Q, then the sum of ∠S+∠R\angle S + \angle R will be:

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  4. Question 4

    Asked once: 3 Feb 2022 Tier II

    18
    ABCD is a cyclic quadrilateral. Sides AB and DC, when produced, meet at E and sides AD and BC when produced, meet at F. If ∠ADC=76∘\angle ADC = 76^\circ and ∠AED=55∘\angle AED = 55^\circ, then ∠AFB\angle AFB is equal to:

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  5. Question 5

    Asked once: 29 Jan 2022 Tier II

    90
    ABCDABCD is a cyclic quadrilateral and BCBC is a diameter of the circle. If ∠DBC=29∘\angle DBC = 29^\circ, then ∠BAD=\angle BAD = ?

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  6. Question 6

    Asked once: 29 Jan 2022 Tier II

    28
    ABCDABCD is a quadrilateral in which AB∥DCAB \parallel DC. EE and FF are the midpoints of the diagonals ACAC and BDBD, respectively. If AB=18AB = 18 cm and CD=6CD = 6 cm, then EF=?EF = ?

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  7. Question 7

    Asked once: 15 Nov 2020 Tier II

    65
    The lengths of two sides of a parallelogram are 3 cm and 10 cm. What is the sum of the squares of the diagonals of the parallelogram?

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  8. Question 8

    Asked once: 15 Nov 2020 Tier II

    43
    ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If ∠BEC=128∘\angle BEC = 128^\circ and ∠ECD=25∘\angle ECD = 25^\circ, then what is the measure of ∠BAC\angle BAC?

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