CAT Geometry questions 65 since 2017

Across the 24 CAT papers from 2017 to 2025, Geometry was asked 65 times, in 24 of the 24 papers. CAT asks about 2.7 Geometry questions per paper on average; in 2022–2025 it was 2.5 per paper, against 2.9 in the four years before (steady). Below is how often it appeared each year, the ideas CAT keeps reusing, and every question with its answer.

How many Geometry questions come in CAT each year?

Geometry ideas CAT has repeated

• Rhombus: side and area give the diagonals via (d1 ± d2)^2 3 questions, 2021–2025
• Rectangle or box in a circle or sphere: diagonal = diameter 4 questions, 2018–2024
• Medians and centroid: 2:1 split and equal-area pieces 4 questions, 2017–2024
• Triangles with a common height: areas proportional to bases 4 questions, 2021–2023
• Incircle of a right triangle: r = (a + b − c)/2 3 questions, 2021–2024
• Chord and centre: r^2 = d^2 + (half chord)^2 5 questions, 2018–2025
• Circular segment area = sector − triangle 3 questions, 2017–2024
• Chords in a circle: similar triangles and power of a point 3 questions, 2019–2025
• Regular polygons: exterior angle = 360°/n 3 questions, 2019–2023
• Regular hexagon as six equilateral triangles 5 questions, 2017–2025

All Geometry questions, newest first

CAT 2025

• CAT 2025 Slot 3 · QA Q1 A triangle ABC is formed with AB = AC = 50 cm and BC = 80…
• CAT 2025 Slot 3 · QA Q3 ABCD is a trapezium in which AB is parallel to DC , AD is…
• CAT 2025 Slot 3 · QA Q18 In A B C , A B = A C = 12 ~cm and D is a point on side B C…
• CAT 2025 Slot 2 · QA Q6 Let ABCDEF be a regular hexagon and P and Q be the midpoints…
• CAT 2025 Slot 2 · QA Q10 Two tangents drawn from a point P touch a circle with center…
• CAT 2025 Slot 2 · QA Q21 In a A B C , points D and E are on the sides BC and AC…
• CAT 2025 Slot 1 · QA Q12 In a circle with center C and radius 6 √(2) ~cm, P Q and S R…
• CAT 2025 Slot 1 · QA Q15 If the length of a side of a rhombus is 36 cm and the area…

CAT 2024

• CAT 2024 Slot 3 · QA Q4 A circular plot of land is divided into two regions by a…
• CAT 2024 Slot 3 · QA Q7 The midpoints of sides AB, BC, and AC in △ ABC are M, N, and…
• CAT 2024 Slot 3 · QA Q21 A regular octagon ABCDEFGH has sides of length 6 cm each…
• CAT 2024 Slot 2 · QA Q5 A B C D is a trapezium in which A B is parallel to C D . The…
• CAT 2024 Slot 2 · QA Q18 Three circles of equal radii touch (but not cross) each…
• CAT 2024 Slot 1 · QA Q19 ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm…

CAT 2023

• CAT 2023 Slot 3 · QA Q17 Let A B C be an isosceles triangle such that A B and A C are…
• CAT 2023 Slot 3 · QA Q18 A rectangle with the largest possible area is drawn inside a…
• CAT 2023 Slot 3 · QA Q19 In a regular polygon, any interior angle exceeds the…
• CAT 2023 Slot 2 · QA Q17 In a rectangle ABCD, AB = 9 cm and BC = 6 cm. P and Q are…
• CAT 2023 Slot 2 · QA Q18 A triangle is drawn with its vertices on the circle C such…
• CAT 2023 Slot 1 · QA Q9 The minor angle between the hours hand and minutes hand of a…
• CAT 2023 Slot 1 · QA Q18 A quadrilateral ABCD is inscribed in a circle such that AB…
• CAT 2023 Slot 1 · QA Q19 In a right-angled triangle ABC, the altitude AB is 5 cm, and…

CAT 2022

• CAT 2022 Slot 3 · QA Q7 Suppose the medians BD and CE of a triangle ABC intersect at…
• CAT 2022 Slot 3 · QA Q18 In a triangle ABC, AB=AC=8 cm . A circle drawn with BC as…
• CAT 2022 Slot 3 · QA Q22 The lengths of all four sides of a quadrilateral are integer…
• CAT 2022 Slot 2 · QA Q1 In triangle A B C , altitudes A D and B E are drawn to the…
• CAT 2022 Slot 2 · QA Q3 Regular polygons A and B have number of sides in the ratio 1…
• CAT 2022 Slot 2 · QA Q21 The length of each side of an equilateral triangle ABC is 3…
• CAT 2022 Slot 1 · QA Q11 A trapezium ABCD has side AD parallel to BC, BAD=90^, BC=3…
• CAT 2022 Slot 1 · QA Q19 All the vertices of a rectangle lie on a circle of radius R…

CAT 2021

• CAT 2021 Slot 3 · QA Q5 In a triangle ABC , ∠ BCA =50°. D and E are points on AB and…
• CAT 2021 Slot 3 · QA Q11 Let ABCD be a parallelogram. The lengths of the side AD and…
• CAT 2021 Slot 3 · QA Q12 A park is shaped like a rhombus and has area 96 sq m. If 40…
• CAT 2021 Slot 2 · QA Q9 If a rhombus has area 12 sq cm and side length 5 cm, then… answer only
• CAT 2021 Slot 2 · QA Q11 Let D and E be points on sides AB and AC, respectively, of a… answer only
• CAT 2021 Slot 2 · QA Q17 The sides AB and CD of a trapezium ABCD are parallel, with… answer only
• CAT 2021 Slot 1 · QA Q6 If the area of a regular hexagon is equal to the area of an… answer only
• CAT 2021 Slot 1 · QA Q14 A circle of diameter 8 inches is inscribed in a triangle ABC… answer only
• CAT 2021 Slot 1 · QA Q15 Suppose the length of each side of a regular hexagon ABCDEF… answer only

CAT 2020

• CAT 2020 Slot 3 · QA Q24 In a trepezium ABCD, AB is parallel to DC, BC is… answer only
• CAT 2020 Slot 2 · QA Q2 From the interior point of an equilateral triangle… answer only
• CAT 2020 Slot 2 · QA Q9 Let C be a circle of radius 5 meters having center at O. Let… answer only
• CAT 2020 Slot 2 · QA Q21 Let C1 and C2 be concentric circles such that the diameter… answer only
• CAT 2020 Slot 1 · QA Q18 A circle is inscribed in a rhombus with diagonals 12 cm and…

CAT 2019

• CAT 2019 Slot 2 · QA Q4 In a triangle ABC, medians AD and BE are perpendicular to… answer only
• CAT 2019 Slot 2 · QA Q7 Two circles, each of radius 4 cm, touch externally. Each of… answer only
• CAT 2019 Slot 2 · QA Q11 Let A and B be two regular polygons having a and b sides… answer only
• CAT 2019 Slot 2 · QA Q20 Let ABC be a right-angled triangle with hypotenuse BC of… answer only
• CAT 2019 Slot 1 · QA Q5 In a circle of radius 11 cm, CD is a diameter and AB is a… answer only
• CAT 2019 Slot 1 · QA Q7 Corners are cut off from an equilateral triangle T to… answer only
• CAT 2019 Slot 1 · QA Q21 AB is a diameter of a circle of radius 5 cm. Let P and Q be… answer only

CAT 2018

• CAT 2018 Slot 2 · QA Q4 On a triangle ABC, a circle with diameter BC is drawn… answer only
• CAT 2018 Slot 2 · QA Q8 A chord of length 5 cm subtends an angle of 60° at the… answer only
• CAT 2018 Slot 2 · QA Q15 A parallelogram ABCD has area 48 sqcm. If the length of CD… answer only
• CAT 2018 Slot 1 · QA Q2 In a circle with centre O and radius 1 cm, an arc AB makes… answer only
• CAT 2018 Slot 1 · QA Q18 Let ABCD be a rectangle inscribed in a circle of radius 13… answer only
• CAT 2018 Slot 1 · QA Q24 Points E, F, G, H lie on the sides AB, BC, CD, and DA… answer only
• CAT 2018 Slot 1 · QA Q29 In a parallelogram ABCD of area 72 sq cm, the sides CD and… answer only
• CAT 2018 Slot 1 · QA Q30 In a circle, two parallel chords on the same side of a… answer only

CAT 2017

• CAT 2017 Slot 2 · QA Q15 Let ABCDEF be a regular hexagon with each side of length 1… answer only
• CAT 2017 Slot 2 · QA Q18 ABCD is a quadrilateral inscribed in a circle with centre O… answer only
• CAT 2017 Slot 2 · QA Q20 Let P be an interior point of a right-angled isosceles… answer only
• CAT 2017 Slot 1 · QA Q16 From a triangle ABC with sides of lengths 40 ft, 25 ft and… answer only
• CAT 2017 Slot 1 · QA Q17 Let ABC be a right-angled isosceles triangle with hypotenuse… answer only
• CAT 2017 Slot 1 · QA Q20 Let ABC be a right-angled triangle with BC as the… answer only

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