Percentage – Complete Short Notes for Competitive Exams 1. Basic Concept “Per cent” means per hundred . So, Percentage = (Value × 100) / Total value Symbol: % Percentage = Part Whole × 100 Example: If a student scored 40 marks out of 80: ( 40 / 80 ) × 100 = 50 % 2. Con…
Ratio and Proportion – Complete Short Notes for Competitive Exams 1. Basic Concepts Ratio A ratio is a comparison of two quantities of the same kind by division. Represented as: Ratio of a to b = a b or a : b \text{Ratio of a to b} = \frac{a}{b} \text{ or } a : b Ratio of a to…
Number System – Complete Short Notes for Competitive Exams 1. Basics of Numbers Natural Numbers (N): (1, 2, 3, 4, …) Whole Numbers (W): (0, 1, 2, 3, …) Integers (Z): (..., -3, -2, -1, 0, 1, 2, 3, …) Rational Numbers (Q): Numbers that can be expressed as (p/q), where (p,…
HCF and LCM – Complete Short Notes for Competitive Exams 1. Definitions HCF (Highest Common Factor) The largest number that divides two or more numbers exactly . Also called GCD (Greatest Common Divisor) . LCM (Least Common Multiple) The smallest number that is exactly…
Simplification & Approximation – Complete Short Notes 1. Basics of Simplification Simplification involves solving arithmetic expressions using BODMAS / PEMDAS rules : B – Brackets → (), {}, [] O – Orders → powers, roots D – Division M – Multiplication A – Addition S …
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