CAT Geometry questions with solutions

86 previous year CAT questions on Geometry, taken from the QA section, each with the correct answer and a full explanation. Work through them in order or jump to a specific paper.

#024Incircle Radius of Right Triangle in RectangleQATITAEasy
#031Area of smaller region formed by chordQAMCQMedium
#034Area of triangle formed by intersection of medians and midpoint segmentsQATITAHard
#048Area of square formed inside regular octagonQAMCQMedium
#054Perimeter of Triangle Extended from TrapeziumQAMCQMedium
#067Ratio of Radii of Concentric/Tangent CirclesQAMCQHard
#112Angle in a triangle with equal segmentsQAMCQHard
#118Area of parallelogram ABCDQAMCQHard
#119Cost of electric wires along rhombus diagonalsQATITAEasy
#169Equal Area of Hexagon and TriangleQAMCQMedium
#177Area of Right Triangle with Inscribed CircleQATITAEasy
#178Distance in Regular HexagonQAMCQHard
#245Area of a right trapeziumQATITAMedium
#249Equilateral Triangle PerpendicularsQAMCQHard
#256Length of Chord in CircleQAMCQHard
#263Triangle and Rectangle AreaQAMCQMedium
#268Concentric Circles DiameterQATITAEasy
#289Area of region bounded by inequalitiesQATITAMedium
#290Volume of original coneQAMCQEasy
#291Ratio of area of inscribed circle to rhombusQAMCQHard
#295Perimeter of rectangular metal sheetQAMCQMedium
#348Area of triangle given perpendicular mediansQAMCQMedium
#351Radius of third touching circleQAMCQHard
#355Interior angle of regular polygonQATITAMedium
#364Maximum altitude of right-angled triangleQAMCQMedium
#399Chords in Circle and Length CalculationQAMCQMedium
#462Length of line segment in cyclic geometryQATITAMedium
#466Length of subtended chordQAMCQEasy
#473Parallelogram side length constraintQAMCQEasy
#502Area of Sector and Triangle in CircleQAMCQEasy
#509Infinite Equilateral Triangles Area SumQAMCQEasy
#518Rectangle Inscribed in CircleQAMCQEasy
#524Inscribed Square Side RatioQAMCQMedium
#530Radius of Circle with Parallel ChordsQAMCQEasy
#572Area of Square on Hexagon DiagonalQAMCQMedium
#573Total Surface Area of Trapezoidal PillarQAMCQMedium
#575Inscribed Quadrilateral Angle MeasureQATITAMedium
#576Maximizing Rectangular Park AreaQATITAHard
#577Inradius and Area of Right Isosceles TriangleQATITAMedium
#630Area Remaining After Centroid CutQAMCQHard
#631Area Enclosed by ArcsQAMCQMedium
#634Minimum Time to HypotenuseQATITAMedium
#709Isosceles Triangle and Ratio of AltitudesQAMCQMedium
#710Largest Rectangle Inside a SemicircleQAMCQMedium
#711Angles and Diagonals of a Regular PolygonQATITAEasy
#731Ratio of segment lengths in rectangleQAMCQMedium
#732Area of right-angled triangle inscribed in circleQAMCQEasy
#753Locus of Tangents Intersection to CircleQAMCQHard
#754Cyclic Quadrilateral Diagonal RatioQAMCQMedium
#755Triangle Area in Arithmetic ProgressionQATITAMedium
#813Area of Triangle Formed by Medians and MidpointsQATITAMedium
#824Overlapping Area of Intersecting CirclesQAMCQHard
#827Right Triangle Positions of Moving ShipsQAMCQHard
#828Possible Integer Side Lengths of QuadrilateralQAMCQEasy
#829Ratio of Altitudes in TriangleQAMCQMedium
#831Interior Angles of Regular PolygonsQATITAEasy
#849Point Division in Equilateral TriangleQAMCQMedium
#861Area of TrapeziumQATITAMedium
#869Area of Rectangle Inscribed in CircleQAMCQMedium
#895Circumradius of TriangleQAMCQMedium
#896Obtuse-Angled Triangles CountQAMCQMedium
#897Area Ratio in Square with Intersecting AnglesQAMCQHard
#901Intersecting Circles Overlap AreaQAMCQMedium
#905Largest Surface Area of Cylinder in ConeQAMCQHard
#954Smallest range of angle between intersecting circlesQAMCQMedium
#1026Area of common region between intersecting circlesQAMCQEasy
#1031Distance between parallel chordsQAMCQEasy
#1039Minimum distance for ant avoiding repellentsQAMCQMedium
#1044Length of segment in a circle geometry constructionQAMCQHard
#1045Ratio of perimeters of similar trianglesQAMCQMedium
#1046Perimeter of quadrilateral inscribed in circleQAMCQMedium
#1084Proportional Rectangular Sheet FoldingQAMCQMedium
#1103Sphere Surface Area and Volume Percentage DifferenceQAMCQMedium
#1111Length of Angle Bisector in a TriangleQAMCQMedium
#1134Number of Triangles with Integral SidesQAMCQMedium
#1181Geometry - Perimeter of Triangle of Circle CentersQAMCQMedium
#1184Tethered Cow Grazing AreaQASET · 2QHard
#1197Ratio of radii of touching circlesQAMCQMedium
#1230Sum of Perimeters of Triangles in SquareQAMCQMedium
#1236Ratio of Area of Circle to SquareQAMCQMedium
#1269Ratio of Inscribed to Circumscribed Circle AreasQAMCQEasy
#1276Octagon Formed by Cutting Corner of SquareQAMCQMedium
#1281Circular Wall and Gate SightlineQAMCQHard
#1294Longer diagonal of a rhombusQAMCQMedium
#1296Area of triangle ratioQATITAMedium
#1302Area of trapezium ABCDQAMCQEasy

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