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Geometry
Geometry, often seen as a labyrinth of shapes and angles, is your essential passport to CAT exam success. At Quantifiers, we’re here to make geometry not just understandable but also a fascinating journey. Join us as we explore the intricate world of geometry and discover how it can open doors to your CAT exam triumph!
Understanding Geometry
Before we dive into the CAT exam specifics, let’s embark on a journey through the world of geometry. Geometry is like the art of shapes and spaces, offering a toolkit to explore and understand the physical world. It’s the science of visualizing, measuring, and relating objects and their properties.
Let’s connect the dots between geometry and the CAT exam. Geometry plays a pivotal role in the Quantitative Aptitude section, and here’s why it’s indispensable:
Logical Problem Solving: Geometry questions in the CAT exam test your logical and analytical thinking. They challenge you to apply geometric concepts to solve real-world problems.
Data Interpretation: Geometry often appears in data interpretation problems, where you’ll need to analyze charts, graphs, and diagrams, making accurate measurements and inferences.
Geometric Series and Progressions: Understanding geometric progressions is fundamental for cracking certain types of questions in the CAT exam, especially in quantitative analysis.
Mastering geometry is not just about conquering the CAT exam; it’s about developing your problem-solving skills, spatial reasoning, and critical thinking, all of which are invaluable in numerous aspects of life. Join Quantifiers today, and turn geometry into your ticket to explore new horizons on the path to mastering the CAT exam!
1. CAT - Geometry
The length of the line joining the midpoints of the non-parallel sides of an isosceles trapezium is 24. If the aforementioned line divides the trapezium in two parts with the areas in ratio 7: 9, then what is the absolute difference (in cm) between the parallel sides of the trapezium?
8. CAT - Co-ordinate Geometry
Let P be the point of intersection of the lines 3x + 4y = 2a and 7x + 2y = 2018 and Q the point of intersection of the lines 3x + 4y = 2018 and 5x + 3y = 1. If the line through P and Q has slope 2, the value of a is:
1. 1
2. 1/2
3. 4035
4. 1009
5. 3026
10. CAT - Geometry
The length of sides AB, BC and CA of a triangle ABC is 7 cm, 10 cm and 12 cm respectively. AB is extended to D such that AD = 28 cm. BC is extended to E such that BE = 20 cm. CA is extended to F such that CF = 36 cm. What is the ratio of the area of triangle ABC to the area of triangle DEF?
17. CAT - Geometry
The sides AB and CD of a trapezium ABCD are parallel, with AB being the smaller side. P is the midpoint of CD and ABPD is a parallelogram. If the difference between the areas of the parallelogram ABPD and the triangle BPC is 10 sq cm, then the area, in sq cm, of the trapezium ABCD is:
1. 40
2. 25
3. 20
4. 30
19. CAT - Geometry
Let ABCD is a parallelogram. The lengths of the sides AD and the diagonal AC are 10 cm and 20 cm, respectively. If the angle ADC is 30 degree, then the area of the parallelogram, in sq. cm, is
1. 25 (√5 + √15)
2. 25 (√3 + √15)
3. 25 (√5 + √15) / 2
4. 25 (√3 + √15) / 2
