The competitive exams like SSC CGL, CHSL, and other includes Algebra subject. This article explains the breakdown, important algebraic formulas, and problem-solving techniques discussed in Day 01 of the Algebra Part-01 video by Aditya Ranjan Sir. The article focuses on building a strong mathematical approach for competitive exams like SSC, CGL, MTS, CHSL, and more.
Importance of Algebra in SSC Exams
Algebra holds good weightage in SSC exams. On average, 3 to 4 questions from Algebra appear in both SSC Prelims and Mains, making it an essential topic. Throughout the series, we share class notes in printable PDF form and questions that are discussed in video with the exam patterns.
- Preliminary Exam: In the prelims, algebra consists of 1-3 questions. These questions make a significant difference in the cutoff score.
- Main Exam: In Mains exam, algebra consists 3-4 questions.
Algebraic Concepts and Formulae Covered
- First Concept: (a + b + c)^2
The video covers the essential formula for this, explaining it step by step:(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca
- Trending Types of Problems: Type 1: x+1/x=2
- Type 2: a^3+b^3+c^3−3abc
Advanced Formulas for Algebra Mastery
Cubic Formula:
- a^3+b^3+c^3−3abc=0, This formula is especially useful when a,b,c are equal or when you are required to solve cubic equations quickly in exams.
- (a+b)^2-ab=0, This formula is useful when the values of a,b,c make algebraic calculations faster, especially questions related to it.
Points Discussed in the Lecture
- Algebraic Problem Solving: The teacher explains, algebraic problems, important formulas like a+b+c, and their applications in solving complex questions.
- Techniques: The session gives importance to simplification such as a+b+c and two 2ab+2bc+2ca for quicker problem-solving.
- Value Substitution Approach: Aditya Ranjan Sir introduces the method of "value putting" algebraic questions easily.
- Exam Pattern: SSC CGL 2023 question patterns, ensuring students focus on solving relevant and updated questions.
- Formula: a^3+b^3+c^3-3abc This formula simplifies complex algebra problems showing its high importance in SSC examination.
- Formula Application: The step-by-step method to apply complex formulas like a^2+b^2+c^2, subtracting constants, and handling cubic expressions.
- Formula: This formula is used to solve algebraic expressions when the value increases or decreases by a consistent number.
- Use of Digital Sum: This technique speeds up the problem-solving process making it easier to work with large numbers.
Shortcut and Digital Sum Questions
- Use digital sum to simplify 3456+7890+12343456 + 7890 + 12343456+7890+1234.
- Solve 945+823+176945 + 823 + 176945+823+176 using digital sum.
- Find the digital sum of 9824+6517−4299824 + 6517 - 4299824+6517−429.
- Simplify 123×456×789123 \times 456 \times 789123×456×789 using digital sum.
- What is the digital sum of 23456+9876523456 + 9876523456+98765?
- Calculate 6789×12346789 \times 12346789×1234 using digital sum.
- Find the sum of digits for 372,849,527372, 849, 527372,849,527.
- Simplify 654×123+987654 \times 123 + 987654×123+987 using digital sum.
- What is the digital sum of 765+234−432765 + 234 - 432765+234−432?
- Calculate 54321+1234554321 + 1234554321+12345 using the digital sum method.