Algebra
View Questions of Algebra
Quantitative Aptitude - Algebra
Build foundational and advanced algebraic skills including operations, identities, equations, and factorization.
1. Basic Concepts
- Constants, variables, expressions
- Operations: addition, subtraction, multiplication, division
2. Standard Identities
- (a + b)² = a² + 2ab + b²
- (a − b)² = a² − 2ab + b²
- a² − b² = (a − b)(a + b)
- (x + a)(x + b) = x² + (a + b)x + ab
3. Factorization Techniques
- Common factor
- Grouping
- Using identities
- Quadratic equations: ax² + bx + c = 0 → factor or use formula
4. Equations
- Linear: ax + b = 0 → x = −b/a
- Quadratic: x = [−b ± √(b²−4ac)] / 2a
5. Word Problems
- Translate statements into algebraic equations
- Solve using simplification or substitution
6. Strategy
- Memorize identities and practice factorization
- Always simplify equations before solving
Summary: Algebra is a symbolic math system requiring identity mastery and logical manipulation. Focus on structure and simplification.
Topics
- Number System
- H.C.F. & L.C.M.
- Decimal Fractions
- Simplification
- Square Roots & Cube Roots
- Average
- Problems on Numbers
- Problems on Ages
- Surds & Indices
- Percentage
- Operations on Numbers
- Profit & Loss
- Ratio & Proportion
- Partnership
- Chain Rule
- Time & Work
- Pipes & Cistern
- Time & Distance
- Problems on Trains
- Boats & Streams
- Alligation or Mixture
- Simple Interest
- Compound Interest
- Logarithms
- Area
- Volume & Surface Areas
- Mensuration
- Races & Games of Skill
- Calendar
- Clocks
- Stocks & Shares
- Permutations & Combinations
- Probability
- True Discount
- Banker’s Discount
- Heights & Distances
- Odd Man Out & Series
- Algebra
- Divisibility Rules & Remainder Theorem
- Factorials & Power Cycles
- Progressions (A.P., G.P., H.P.)
- Work & Wages
- Set Theory / Venn Diagrams
- Geometry (Lines, Angles, Triangles, Polygons)
- Coordinate Geometry
- Data Interpretation
- Trigonometry
- Statistics (Mean, Median, Mode)
- Arithmetic Operations
- Quadratic Equations
Other Subjects
- Quantitative Aptitude
- Reasoning
- English Language
- Current Affairs
- Constitutional Law
- Code of Civil Procedure
- Criminal Procedure (CrPC and BNSS)
- Criminal Law (IPC and BNS)
- Law of Evidence (IEA and BSA)
- Law of Contract
- Law of Torts and Consumer Protection
- Transfer of Property
- Family Law
- Specific Relief and Limitation
- Legal Language and Drafting
- General Awareness / General Knowledge (GK)