Number Systems Shortcut for CAT: Time-Saving Tricks PDF Download

Introduction

The Number System is a crucial topic in the CAT QA section, which requires candidates to excel in direct mathematical calculations. As CAT 2023 approaches, it becomes imperative for aspirants to prioritize their preparation for Number System CAT questions and related topics. This article aims to provide a comprehensive study of important topics, key points, and expert tips for mastering Number System CAT questions. By understanding the concepts and implementing shortcut techniques, candidates can enhance their chances of scoring well in this section.

Expected Number System CAT Questions

In the CAT exam's Quantitative Aptitude section, questions are categorized into various topics, including Number System, Geometry, Modern Maths, Algebra, and Arithmetic. Among these, Number System holds significant weightage, with a substantial number of questions being asked over the years. Candidates can anticipate 2-4 Number System CAT questions, covering topics such as conceptual puzzles, HCF, LCM, and more. Therefore, a strong grasp of the Number System syllabus is vital to secure a good rank in this section.

Last Two Digits: Shortcut Technique

Multiplying the last two digits of exponents within seconds can be a game-changer in solving CAT questions. This video presents a simple and effective shortcut method for multiplying numbers mentally, eliminating the need for pen and paper. By mastering this technique, candidates can gain a significant advantage in the CAT exam and other MBA entrance exams.

Cyclicity of Last Digits: A Handy Table

To determine the last digit of a number in the form "an," understanding the cyclicity of the last digit is crucial. Each digit from 1 to 9 follows a pattern when raised to an exponential power. The following table illustrates the cyclicity of last digits, serving as a valuable tool in solving such questions efficiently.

Example: Finding Last Two Digits

To illustrate the application of the shortcut technique, let's consider an example of numbers ending in 1, such as 3167 and 4123. Furthermore, we'll explore how to find the last two digits of the expression 3764. By watching the video mentioned, candidates can learn to solve these types of questions within 30 seconds, without any reliance on external aids.

Essential Topics in Number System CAT Questions

The Number System CAT Questions cover fundamental mathematical concepts. To gain conceptual clarity, regular practice is paramount. Some of the important topics to focus on while preparing for this chapter are:

• HCF and LCM
• Factors
• Factorization
• Base System
• Divisibility Rules
• Remainders
• Indices & Surds
• Unit Digits
• Last Two Digits
• Cyclicity Numbers

Recommended Books and Study Materials

To effectively tackle the Number System chapter, candidates should refer to reliable CAT books and study materials. Here are a few recommended resources:

• Quantitative Aptitude For CAT" by Pearson
• Quantitative Aptitude For CAT" by Arun Sharma

Key Points to Remember

Given the diverse themes associated with Number System CAT Questions, it is crucial to practice extensively. To excel in this section, consider the following important pointers and techniques:

• Utilize shortcuts to expedite the process of solving CAT Number System Questions, reducing calculation time.
• The digital sum of a number is obtained by adding its individual digits until a single digit remains.
• The product of n elements in a natural number will always be divisible by n! (factorial of n).
• The sum of cubes of the first n natural numbers is equal to [n(n+1)/2].
• The sum of a two-digit number and the number obtained by reversing its digits is always divisible by 11.
• Any three consecutive natural numbers, with an even first number, will have a product divisible by 24.

Expert Strategies for Number System CAT Questions

To master the Number System for CAT, it is essential to thoroughly prepare and implement effective strategies. Here are some expert tips and techniques to tackle Number System CAT Questions:

• Understand and memorize key concepts and formulas associated with Number System Questions.
• Practice extensively to develop speed and accuracy in solving Number System CAT Questions.
• Simulate exam-like conditions by taking BYJU'S CAT Mock Tests to enhance your problem-solving skills.
• Utilize shortcut techniques to quickly and accurately solve Number System Questions.
• By following these expert strategies, candidates can significantly improve their performance in Number System CAT Questions and maximize their chances of success in the CAT exam.

Conclusion

The Number System forms a crucial part of the CAT QA section and requires dedicated preparation. By focusing on important topics, utilizing shortcut techniques, and following expert strategies, candidates can strengthen their conceptual understanding and problem-solving skills. Regular practice, coupled with the recommended books and study materials, will enable aspirants to excel in Number System CAT Questions. With thorough preparation and application of the provided tips, candidates can confidently approach the CAT exam and achieve remarkable results.