CAT Mensuration questions with solutions
Areas and volumes of plane and solid figures. 13 questions from our 2016–2025 CAT pattern papers. Each has the answer and a full solution.
CAT 2025
CAT 2022
CAT 2021
- A solid metal cone of base radius 6 cm and height 24 cm is melted and recast into solid spheres, each of radius 3 cm. How many spheres are obtained?
- A right circular cone has base radius 9 cm and height 21 cm. It is cut by a plane parallel to its base at a height of 14 cm above the base. Find the…
- A right circular cylinder is placed inside a right circular cone of base radius 6 cm and height 12 cm so that the cylinder's base lies on the cone's…
CAT 2020
CAT 2019
CAT 2018
- A right circular cone is hollowed out of a solid right circular cylinder of radius 6 cm and height 8 cm. The cone has the same base and height as the…
- An isosceles trapezium has parallel sides of length 10 cm and 22 cm, and each non-parallel side is 10 cm. What is its area?
- A solid metal cone of base radius 6 cm and height 8 cm is melted and recast into solid spheres of radius 2 cm each. How many spheres are obtained…
CAT 2016
Other Quant topics
Time, Speed and Distance 38Time and Work 23Pipes and Cisterns 11Simple and Compound Interest 33Profit, Loss and Discount 42Mixtures and Alligation 35Ratio and Partnership 17Percentages 30Averages 19Permutations, Combinations and Sets 28Probability 20Logarithms and Indices 16Quadratic Equations and Polynomials 18Linear Equations 9Inequalities and Modulus 19Functions 22Maxima and Minima 11Progressions 29Remainders and Divisibility 15Number System 19Coordinate Geometry 29Triangles 24Circles 18Polygons and Quadrilaterals 12