CAT Geometry Questions

Check below CAT Geometry questions of previous years, along with solutions. You can practice these questions to prepare for Geometry topic of the exam. 

Practice previous years' CAT Geometry questions

CAT Geometry questions are usually TITA type so you don’t have any kind of a reference point to base your answer option selection. You have to apply the formula and solve it in rough sheet to find the correct value. The questions are largely based on Two-dimensional geometry, Three Dimensional Geometry, Co-ordinate geometry. To crack CAT Geometry questions you have to be thorough with basic Geometric formulae and know tricks to solve them in shortest time span.

Geometry is a sub part of CAT Quantitative Aptitude section. The questions are mostly of moderate difficulty level. The number of Geometry questions in CAT ranges from 8-9 out of 22. In CAT 2025 though, the number of Geometry questions was only 4. Earlier, when the CAT Quantitative Aptitude section used to have 32 questions, there used to be 13-14 Geometry questions.

CAT Geometry Questions Over The Years

In the below table, you can see the number of Geometry questions that appeared in CAT question papers in the last 7 years.

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CAT Geometry Questions of Practice

Check below a few CAT Geometry Questions. These questions appeared in the CAT question papers of previous years. Solve them and see your hold on Geometry for CAT 2026 preparation. Also find the answers in PDF uploaded below.

Question 1: Let ABCD be a parallelogram such that 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:

a) (0, 11)

b) (4, 5)

c) (-3, 4)

d) (-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:

a) P²/16 – R²

b) P²/8 – 2R²

c) P²/2 – 2PR

d) 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:

a) 9 π- 18

b) 18

c) 9 π

d) 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:

a) 10

b) 9

c) 8

d) 7

Question 5: Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ration of the area of H to the area of T is:

a) 4:5

b) 5:6

c) 3:4

d) 2:3

Question 6: In a circle of radius 11 cm, CD is a diameter and AB is a chord of length 20.5 cm. If AB and CD intersect at a point E has length 7 cm, then the difference of the lengths of BE and AE, in cm, is:

a) 1.5

b) 3.5

c) 0.5

d) 2.5

CAT Geometry TITA Questions

Question 7: 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?

Question 8: Let AB, CD, EF, GH and JK be five diameters of a circle with centre at O. In how many ways can three points be chosen out of A, B, C, D, E, F, G, H, J, K and O so as to form a triangle?

Question 9: Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is?

Question 10: A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while it volume is 9 π cm³ . Then the vertical distance in cm, of the topmost point of the ball from the base of the cylinder is?

CAT Geometry Questions Answer Key

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CAT Quantitative Aptitude questions with solutions PDFs

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