CAT preparation strategy for Mensuration in Quantitative Aptitude

The Indian Institutes of Management (IIMs) are going to have a computer-based test called CAT 2023 on Sunday, November 26, 2023. This test will be done in three parts, and you must take it if you want to get into management programs at IIMs.
The CAT 2023 exam covers three main subjects: Math (Quantitative Aptitude), English and Reading (Verbal Ability and Reading Comprehension), and Data and Logic (Data Interpretation and Logical Reasoning).
The Mensuration section in the CAT (Common Admission Test) examination typically covers various topics related to problems involving areas, volumes, and surface areas of various shapes. These topics may include:
Area and Perimeter of 2D Figures: Triangles, Quadrilaterals (squares, rectangles, parallelograms, rhombuses, trapezoids), Circles, Polygons and Surface Area
Volume of 3D Shapes: Cubes and cuboids, Cylinders, Cones, Spheres and Prisms and pyramids.
Similarity and Congruence of Figures: Understanding when two figures are similar or congruent and the associated properties.
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Composite Figures: Calculating the area or perimeter of complex shapes made up of simpler shapes.
Lateral and Total Surface Area: For various 3D shapes, understanding the difference between lateral and total surface area.
Special Mensuration Problems: These may include irregular shapes, combinations of different figures, and problems involving transformations or dilations.
• Problems Involving Areas: To excel in solving problems involving areas in the Mensuration section of the CAT examination, candidates should focus on several key aspects.
First and foremost, a strong understanding of basic geometric shapes, their properties, and area formulas is essential. These include triangles, rectangles, circles, and polygons. Candidates should also grasp concepts related to the relationships between various shapes, like similarity and congruence. Problem-solving techniques, such as breaking complex shapes into simpler ones and using composite figures, are vital for tackling challenging questions.
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Additionally, candidates should practice calculating areas of irregular or unique shapes, which often appear in the CAT exams.
• Volumes: To effectively solve questions on volumes, candidates should have a thorough understanding of the volume formulas for basic 3D shapes like cubes, cuboids, cylinders, cones, and spheres is fundamental. Additionally, candidates should focus on the relationships between different 3D shapes and how to calculate the volume of composite figures, which often appear in CAT questions. Problem-solving techniques involving conversions and applications of volume formulas, such as displacement and subtracting volumes, are also valuable skills to master.
• Surface Areas Of Various Shapes: To effectively tackle questions candidates should focus on formulas for basic 3D shapes like cubes, cuboids, cylinders, cones, spheres, and prisms is essential. Candidates should also be well-versed in handling complex shapes and calculating their surface areas by breaking them down into simpler components or using composite figures. Paying attention to the distinction between lateral and total surface areas and when to apply each concept is crucial.
• Solve Realistic Problems: Practice with real-world or CAT-style problems involving irregular shapes, transformations, and unique scenarios. This will prepare you for the types of questions that may require creative problem-solving.
By focusing on these key aspects and regularly practising problems, you can better prepare for the Mensuration section of the CAT exam and improve your chances of success.
Remember that consistent effort and practice are key to excelling in the Mensuration section and any other section of the exam. Stay persistent and focused on your goal, and you’ll improve your performance over time.
Disclaimer: It’s important to note that while these are the common topics, the CAT exam may have variations from year to year. Therefore, it’s advisable for candidates to refer to the official CAT syllabus and previous years’ question papers to get a more precise understanding of what to expect in the Mensuration section for a specific year. Additionally, candidates should practice a variety of problems from these topics to prepare effectively for the exam.

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