Averages, Mixtures, and Alligations for CAT and Aptitude Exams

Mastering quantitative aptitude is essential for cracking competitive exams like the CAT, yet many test-takers struggle with complex word problems involving mixtures. Understanding the underlying principles of averages and the versatile alligation rule can transform these time-consuming questions into quick wins. This text-based course guides you from the fundamental definitions of mathematical averages to advanced applications of the alligation method. By reading clear explanations and practicing with targeted written exercises, you will develop the mental models and calculation shortcuts needed to solve complex ratio and dilution problems under time pressure. What you will learn: Understand the fundamental concepts of simple, weighted, and sequential averages; Apply the alligation cross method to solve mixture problems involving two or more ingredients; Solve complex liquid dilution, replacement, and multi-stage mixing scenarios systematically; Analyze profit and loss, interest rates, and speed-distance problems using alligation shortcuts; Practice with a wide range of written exam-style questions designed to build speed and accuracy. The course begins with foundational definitions of averages before introducing the mechanics of mixtures and the powerful alligation framework. You will then progress through structured written examples that demonstrate how to apply these concepts to diverse word problems. This course is designed for beginners preparing for CAT or other quantitative aptitude tests, requiring only basic arithmetic skills to start. Start reading today to unlock faster problem-solving techniques for your exam.