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5-Days Study Plan: Number System

Introduction

  • This chapter on the Number System is fundamental for developing strong mathematical problem-solving skills.
  • The study plan is designed to help students build a deep understanding of core concepts, techniques, and applications within the number system.
  • By using comprehensive resources such as documents, videos, and tests, this plan ensures thorough preparation and effective learning.

Chapter Overview

  • Introduction to Number System
  • Even and Odd Numbers
  • Multiplication Properties of Even and Odd Numbers
  • Perfect Squares
  • Cyclicity and Factorials
  • Conversion to Rational Numbers
  • Square Root and Cube Root Formulas
  • Finding Remainders in Number Systems
  • Important Formulas and Concepts

Study Plan

Important Links

The document 5-Days Study Plan: Number System is a part of the SSC CGL Course Quantitative Aptitude for SSC CGL.
All you need of SSC CGL at this link: SSC CGL

FAQs on 5-Days Study Plan: Number System

1. How do I identify prime and composite numbers quickly for SSC CGL exams?
Ans. Prime numbers have only two divisors (1 and themselves), while composite numbers have more than two divisors. For the number system section, memorise primes up to 100: use divisibility tests to check if a number is divisible by 2, 3, 5, or 7. Numbers like 97 and 89 are prime; 48 and 91 are composite. This distinction is fundamental for solving factor-based problems in quantitative aptitude efficiently.
2. What's the difference between rational and irrational numbers, and why does it matter for SSC CGL?
Ans. Rational numbers can be expressed as fractions (p/q) where p and q are integers; irrational numbers cannot. Examples include √2, π, and e, which have non-repeating, non-terminating decimals. Understanding this classification helps students tackle algebraic expressions, surds, and real number problems. Many CGL questions test whether students can classify decimal expansions correctly.
3. How do I use divisibility rules to solve number system problems faster?
Ans. Divisibility rules are shortcuts for checking if numbers divide evenly without performing full division. For example, a number is divisible by 3 if its digit sum is divisible by 3; divisible by 4 if its last two digits form a number divisible by 4. Mastering rules for 2, 3, 5, 6, 9, and 11 reduces calculation time significantly during the exam and prevents computational errors.
4. What are factors, multiples, HCF, and LCM, and when do I use each one?
Ans. Factors are numbers that divide evenly into another number; multiples are products of a number with integers. HCF (Highest Common Factor) finds the greatest common divisor of two numbers; LCM (Least Common Multiple) finds the smallest common multiple. SSC CGL tests these concepts heavily in word problems involving grouping, distribution, and time-based scenarios where students must identify which tool applies.
5. How can I master even, odd, and special number properties for the number system section?
Ans. Even numbers are divisible by 2; odd numbers leave remainder 1. Key properties: even + even = even; odd + odd = even; even × any number = even. Natural numbers, whole numbers, integers, and real numbers form a hierarchy. Refer to mind maps and flashcards on EduRev to visualise these classifications and relationships, which clarify perfect squares, cubes, and number patterns tested in quantitative reasoning.
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