Shortcut Tricks for Divisions in Competitive Exams

Introduction

• Important for various competitive exams (Group 4, SSC CGL, Bank Exams, etc.)
• Emphasis on efficient division methods
• Focus on quick calculations and saving time

Importance of Division in Arithmetic

• Essential for solving various arithmetic problems
• Critical in exams where time management is crucial
• Traditional methods are often step-heavy and time-consuming

Key Concepts of Shortcut Method for Division

• Example: 943 ÷ 41
  • Identify the denominator (41) and its first digit (4)
  • Divide first digit of numerator (9) by 4: 4 * 2 = 8
  • Subtract from the first digit: 9 - 8 = 1
  • Move to next digit: add 4 to form 14
  • Repeat division: 4 * 3 = 12
  • Subtract: 14 - 12 = 2
  • Move to next digit: 23
  • Division: 4 * 5 = 20
  • Subtract: 23 - 20 = 3
  • Continue until complete

Detailed Steps and Explanation

• Carry and Subtraction Method:
  • Always consider the next digit in the dividend after each subtraction
  • Example steps:
    • First digit 9: 9 - 4 * 2 = 1
    • Combine 1 with the next digit (4): 14
    • Subtract 4 * 3 = 12 from 14: get 2
    • Continue this process for each digit
• Verification:
  • After each step, re-check the subtraction result
  • Ensures accuracy in the long run

Practice Problems

• Example 1: 1560 ÷ 65
  • Steps to divide and verify results
  • Real-time division practice
• Example 2: 769 ÷ 47
  • Similar steps: subtraction and carry method
  • Practice to ensure understanding
• Additional Practice:
  • Try with several numbers to get accustomed to the method

Tips for Effective Learning

• Regular practice is essential
• Focus on understanding the concept
• Practice with different examples for better grasp
• Use reference materials and video explanations for clarity
• Speed and accuracy come with continuous practice

Conclusion

• Mastery in division can significantly improve arithmetic efficiency
• Competitive exams require quick and accurate methods
• Shortcut tricks can save valuable time during exams
• Enroll in comprehensive courses and ensure thorough practice

Additional Resources

• Comprehensive courses available for further learning
  • Speed Maths, Arithmetic, and Advanced Maths
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  • In-depth problem solutions and explanations
  • Useful for SSC, Bank exams, and other competitive exams
• Detailed study material and video lessons available
  • Provides full coverage of all relevant mathematical topics
  • Includes practice questions and detailed solutions