Quadrilateral Live Quiz for SSC CGL Exam, Download Free PDF

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Published on 21 May 2026 by

Quadrilaterals are one of the most important topics in Quantitative Aptitude for competitive exams. They are a key part of Geometry and involve concepts related to angles, sides, diagonals, perimeter, and area of different four-sided figures such as squares, rectangles, parallelograms, rhombuses, trapeziums, and kites. Questions based on quadrilaterals commonly appear in SSC Exams. A strong understanding of properties, formulas, and problem-solving techniques helps candidates solve geometry questions quickly and accurately. Regular practice and proper understanding of concepts can make quadrilateral-based questions easy to score in exams.

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Attempt Quadrilateral Live Quiz

Below are some important quadrilateral questions for SSC CGL and other competitive exams for your practice. Attempt them live and check your score according to the real exam marking scheme.

Practice Quadrilateral Based Questions Live Score: 0.00

Q1. The diagonal of a quadrilateral is 30 cm. The perpendiculars drawn to it from opposite vertices are 8 cm and 12 cm. Find the area.

Q2. A diagonal of a quadrilateral is 40 m. The offsets drawn to this diagonal are 16 m and 10 m. Find the area.

Q3. The perpendicular offsets to a diagonal of 50 cm are 14 cm and 22 cm. Find the area of the quadrilateral.

Q4. In a quadrilateral, one diagonal is 35 cm and the perpendiculars from the other two vertices to this diagonal are in ratio 2:3 and their sum is 25 cm. Find the area.

Q5. The area of a quadrilateral is 480 cm2. One diagonal is 48 cm. If the offsets to this diagonal are equal, find each offset.

Q6. The diagonals of a quadrilateral bisect each other at right angles. The diagonals are 22 cm and 16 cm. Find the area.

Q7. A diagonal of a quadrilateral divides it into two triangles. The areas of the triangles are 84 cm2 and 60 cm2. Find the area of the quadrilateral.

Q8. A quadrilateral has vertices A(0,0), B(4,0), C(4,3), D(0,3). Find its area.

Q9. Using the shoelace formula, find the area of a quadrilateral with vertices (1,1), (5,1), (5,4), (1,4).

Q10. A quadrilateral ABCD has vertices A(0,0), B(6,0), C(5,4), D(1,4). Find its area using the trapezium method.

Q11. The four vertices of a quadrilateral are (2,3), (8,3), (10,7), (0,7). Find the area.

Q12. A quadrilateral is formed by joining midpoints of sides of a quadrilateral whose diagonals are 20 cm and 14 cm and intersect at right angles. Find the area of the inner quadrilateral.

Q13. A quadrilateral has perpendicular diagonals of lengths p and q. If both diagonals are increased by 50%, the area becomes:

Q14. The diagonal of a quadrilateral is 60 m. Offsets on opposite sides are 12 m and 8 m respectively. The cost of levelling the field at ₹5 per m2 is:

Q15. A quadrilateral field has one diagonal 80 m. The heights of the two triangles formed are 20 m and 25 m. Find the area.

Q16. In quadrilateral ABCD, diagonal AC = 26 cm. The perpendiculars from B and D to AC are 10 cm and 8 cm respectively. Find the area.

Q17. A quadrilateral has diagonals 32 cm and 24 cm intersecting at right angles. If the point of intersection divides both diagonals in ratio 1:3, find the area.

Q18. In a cyclic quadrilateral, one angle is 70°. Find the opposite angle.

Q19. In a cyclic quadrilateral ABCD, ∠A = 85° and ∠C = (x + 10)°. Find x.

Q20. In a cyclic quadrilateral, two opposite angles are (3x + 10)° and (5x − 10)°. Find x.

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