Explore a comprehensive 7-hour tutorial covering essential mathematical concepts and shortcuts for competitive exams such as UPSC, NDA, Banking, Railway, and SSC. Learn efficient techniques for calculating cubes, squares, cube roots, and square roots. Master integration shortcuts, including integration by parts and other advanced methods. Discover simplification tricks applicable to various competitive exams. Delve into quadratic equations, matrix operations, and fast division techniques. Study applications of derivatives, focusing on tangents and normals. Gain proficiency in trigonometry, binomial theorem, limits, and indeterminate forms. Understand probability concepts, including conditional probability, crucial for 12th board exams. Enhance your problem-solving skills and increase your speed in tackling mathematical questions across a wide range of competitive examinations.