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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Dedicate one focused hour in the morning to QA formulas or an RC passage, one hour in the evening to DILR sets, and reserve weekends for full-length mocks and thorough review.

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It is not too late, provided you adjust your scope. Focus directly on core topics, start taking sectional tests immediately, and spend time learning through mock test analysis.

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Focus on formula sheets, mental math tables, grammar pointers, and your accumulated test error log. Avoid attempting full-length tests during the final three days before the exam.

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Enrolling in a classroom programme is rarely practical with two months left. However, a dedicated mock test series or a targeted crash course for specific weak subjects can provide structured practice material.

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A beginner can build a respectable attempt by focusing strictly on high-yield areas such as Arithmetic, Algebra, core DI arrangements, and Reading Comprehension, rather than attempting the entire syllabus.

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Taking 12 to 18 full-length mocks across the 60-day window is generally sufficient. Candidates must scatter these mocks into phases and dedicate at least three to four hours to analysing each test.

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Yes, 60 days is adequate if you have a basic understanding of mathematics and reading skills. It provides sufficient time to revise concepts, complete timed sectional practice, and take 12 to 15 full mocks.

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FIIB provides scholarships based on the merit and need of the students. Students with more than 60 percentile in CAT exam can apply for scholarships offered by Fortune Institute of International Business Delhi.

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IIM Indore will release CAT admit card 2026 on November 4. Candidates will be able to download the admit card of CAT exam 2026 until the exam date, i.e. November 29.

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