CAT Geometry Questions with Solutions PDF; Preparation Guide, Types of Questions

Common Admission Test 2026 ( CAT )

Abhishek Dhawan
Updated on Jul 30, 2026 12:28 IST

By Abhishek Dhawan, Deputy Manager - MBA & BBA Content

Geometry questions account for nearly 5 per cent of the entire CAT question paper. A good hold on Geometry can help candidates obtain a good score in the Quantitative Aptitude section and improve the sectional score. In each session of the CAT exam, candidates can expect 3-4 direct Geometry questions (this is roughly 15-20% of all Quantitative Aptitude questions). The test-taker must aim to solve each question in less than 2 minutes. CAT Geometry questions are both MCQs and TITA type.

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In the CAT exam, candidates find CAT Geometry questions on Triangles, Circles, and Quadrilaterals & Polygons. A good hold on Geometry also helps in advanced CAT topics like 3D Mensuration, Coordinate Geometry, and Geometry-based Puzzles. This article hosts some CAT Geometry questions. Candidates can practice CAT Geometry questions with solutions and with varied difficulty levels for holistic preparation for the CAT 2026 exam.

Table of contents
  • Sample CAT Geometry Questions with Solutions

Sample CAT Geometry Questions with Solutions

Find a few questions from CAT Geometry with different difficulty levels:

Question 1: Let ABCD be a parallelogram such that the three coordinates of its three vertices A, B, C are (1, 1), (3, 4) and (-2, 8), respectively. Then the coordinates of the vertex D are:

  1. (0, 11)
  2. (4, 5)
  3. (-3, 4)
  4. (-4, 5)

Question 2: All the vertices of a rectangle lie on a circle of Radius R. If the perimeter of the Rectangle is P, then the area of rectangle is:

  1. P2/16 – R2
  2. P2/8 – 2R2
  3. P2/2 – 2PR
  4. P2/8 – R2/2

Question 3: Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle away form A, with diameter BC. Let BPCB be an arc of a circle centered at A and lying between BC and BQC. If AB has length 6 cm then the area, in sq cm, of the region enclosed by  BPC and BQC is:

  1. 9 π- 18
  2. 18
  3. 9 π
  4. 9

Question 4: ABCD is a trapezium in which AB is parallel to CD. The sides AD and BC E when extended, intersect at point E. If AB= 2 cm, CD= 1 cm, and perimeter of ABCD is 6 cm, then the perimeter in cm, of Triangle AEB is:

  1. 10
  2. 9
  3. 8
  4. 7

Question 5: A Trapezium ABCD has side AD parallel to BC. ∠BAD = 90 °, BC = 3 cm and AD = 8 cm. If the perimeter of this trapezium in 36 cm, then its area in sq. cm, is?

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