Geometry — CAT Previous Year Questions

How many CAT questions come from Geometry?

Geometry has contributed 87 questions to Common Admission Test papers between 2017 and 2025 — an average of about 10 questions a year. That count is measured from EByAi’s bank of 6,737 CAT questions, not estimated from a syllabus. Every one of the 87 questions carries a written, step-by-step solution, and each is tagged to Geometry within Quant, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Geometry questions from real CAT papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 87 Geometry questions (with full written solutions) are available in practice.

1. Question 1 · CAT 2024

   Which one of the following options does NOT represent the characteristics of the western barred bandicoot?
   1. (A)Look of a rat but with a baby pouch and a slender snout
   2. (B)Shallow diggers having an elongated muzzle
   3. (C)Long thin nose, black striped back, pouch for joeys
   4. (D)Smallest black striped marsupial that uses camouflage and digs
   Show answerAnswer

   Answer: (D) Smallest black striped marsupial that uses camouflage and digs

2. Question 2 · CAT 2024

   The surface area of a closed rectangular box, which is inscribed in a sphere, is 846 sq cm , and the sum of the lengths of all its edges is 144 cm . The volume, in cubic cm , of the sphere is
   1. (A)$750\pi$
   2. (B)$1125\pi \sqrt{2}$
   3. (C)$1125\pi$
   4. (D)$750\pi \sqrt{2}$
   Show answerAnswer

   Answer: (B) $1125\pi \sqrt{2}$

3. Question 3 · CAT 2023

   A quadrilateral ABCD is inscribed in a circle such that AB : CD = 2 : 1 and BC : AD = 5 : 4. If AC and BD intersect at the point E, then AE : CE equals
   1. (A)1 : 2
   2. (B)5 : 8
   3. (C)8 : 5
   4. (D)2 : 1
   Show answerAnswer

   Answer: (C) 8 : 5

4. Question 4 · CAT 2023

   In a rectangle ABCD, AB = 9 cm and BC = 6 cm. P and Q are two points on BC such that the areas of the figures ABP, APQ, and AQCD are in geometric progression. If the area of the figure AQCD is four times the area of triangle ABP, then BP : PQ : QC is
   1. (A)1 : 1 : 2
   2. (B)1 : 2 : 4
   3. (C)2 : 4 : 1
   4. (D)1 : 2 : 1
   Show answerAnswer

   Answer: (C) 2 : 4 : 1

5. Question 5 · CAT 2022

   The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length 1 cm, 2 cm and 4 cm, then the total number of possible lengths of the fourth side is
   1. (A)6
   2. (B)4
   3. (C)5
   4. (D)3
   Show answerAnswer

   Answer: (C) 5

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