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How to Solve (हल करने का तरीका)

Step-by-step problem-solving tutorials explained in the simplest possible language. Master core formulas, learn universal calculation methods, study transparent worked examples, and practice similar questions for Madhya Pradesh and national competitive exams.

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Quantitative Aptitude
Beginner4m read

How to Find the LCM of Three Numbers: Step-by-Step Guide

तीन संख्याओं का ल.स. (LCM) कैसे निकालें: आसान तरीका

The Least Common Multiple (LCM), or लघुत्तम समापवर्त्य (ल.स.), of three numbers is the smallest positive number that is completely divisible by all three numbers without leaving any remainder. In competitive exams like MP Police Constable, MP Patwari, and SSC, LCM questions frequently appear in arithmetic, time and work, and bell-ringing interval problems.

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Quantitative Aptitude
Beginner4m read

How to Find the HCF of Three Numbers: Step-by-Step Guide

तीन संख्याओं का म.स. (HCF) कैसे निकालें: आसान तरीका

The Highest Common Factor (HCF), or महत्तम समापवर्तक (म.स.), also known as the Greatest Common Divisor (GCD), of three numbers is the largest positive number that divides all three numbers completely with zero remainder. In competitive exams, HCF is fundamental for simplifying fractions, finding maximum tile sizes, and grouping problems.

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Quantitative Aptitude
Beginner3m read

How to Use the Relation Between LCM and HCF in Exam Questions

LCM और HCF के बीच संबंध: परीक्षा में प्रश्न हल करने का तरीका

One of the most frequently asked question patterns in state competitive exams is based on the golden mathematical relation between the LCM and HCF of two numbers. Knowing how to manipulate this formula saves valuable minutes during exams.

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Quantitative Aptitude
Beginner4m read

How to Calculate Percentage Increase and Decrease in Exam Questions

प्रतिशत वृद्धि और कमी कैसे निकालें: आसान फॉर्मूला और ट्रिक्स

Percentage change measures the relative change between an initial (original) value and a new value expressed as a percentage. It is one of the most fundamental concepts tested across arithmetic, profit and loss, data interpretation, and population growth questions.

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Quantitative Aptitude
Intermediate4m read

How to Find the Unit Digit of Large Powers in Seconds

बड़ी घातों का इकाई अंक (Unit Digit) कैसे निकालें: साइक्लिसिटी ट्रिक

Questions asking for the unit digit of expressions like 7²⁰²⁶ or 3⁴⁵ occur regularly in the Number System section of MP Police, MPPSC, and SSC exams. By understanding the concept of cyclicity (repeating unit digit patterns), you can solve these in under 10 seconds without calculating huge powers.

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Quantitative Aptitude
Beginner5m read

How to Solve Profit and Loss Questions with Formulas & Solved Examples

लाभ और हानि (Profit & Loss) के प्रश्न कैसे हल करें: सूत्र, शॉर्टकट ट्रिक्स और हल सहित उदाहरण

Profit and Loss (लाभ और हानि) is one of the most fundamental and high-scoring arithmetic topics in MP Police Constable, MP Sub-Inspector, MP Patwari, MPPSC CSAT, and SSC exams. It covers transactions where commodities are acquired at a Cost Price (CP / क्रय मूल्य) and sold at a Selling Price (SP / विक्रय मूल्य). The foundational rule in competitive exams is that Profit Percentage and Loss Percentage are ALWAYS calculated relative to the Cost Price (CP), unless explicitly specified otherwise by the question.

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Quantitative Aptitude
Beginner5m read

How to Solve Time and Work Questions: LCM Method, Formulas & Solved Examples

कार्य और समय (Time & Work) के प्रश्न कैसे हल करें: LCM विधि, सूत्र और ट्रिक्स

Time and Work (कार्य और समय) is one of the highest-weightage arithmetic topics in MP Police Constable, MP Sub-Inspector, MP Patwari, SSC, and Railway exams. The fundamental principle is an inverse relationship: if a person works faster (higher efficiency / कार्य क्षमता), they take fewer days to complete the job. Instead of tedious fraction addition, top scorers use the LCM Method, assuming the total work is the LCM of the days given, turning fraction problems into rapid whole-number addition.

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Quantitative Aptitude
Beginner5m read

How to Solve Simplification Questions: VBODMAS Rules, Tricks & Solved Examples

सरलीकरण (Simplification) के प्रश्न कैसे हल करें: VBODMAS नियम, ट्रिक्स और हल उदाहरण

Simplification (सरलीकरण) is the process of reducing complex arithmetic expressions containing multiple operational symbols, nested brackets, fractions, and powers into a single numerical value. In competitive exams like MP Police Constable, Patwari, Sub-Inspector (SI), SSC GD/CHSL, and Railway RRB NTPC, simplification questions test numerical speed and strict adherence to the VBODMAS hierarchy.

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Quantitative Aptitude
Beginner5m read

How to Solve Simple Interest Questions: Formulas, Shortcuts & Solved Examples

साधारण ब्याज (Simple Interest) के प्रश्न कैसे हल करें: सूत्र, शॉर्टकट ट्रिक्स और हल सहित उदाहरण

Simple Interest (साधारण ब्याज - SI) is calculated strictly on the original Principal (मूलधन) sum throughout the entire borrowing period, meaning the interest accrued in each period remains uniform. Unlike Compound Interest, accumulated interest is never added to the principal to generate subsequent interest. In competitive exams (MP Police Constable, MP Sub-Inspector, MP Patwari, MPPSC CSAT, and SSC), treating (R × T)% as the net interest percentage of the Principal is the fastest mental shortcut to solve 90% of questions in seconds.

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Quantitative Aptitude
Beginner6m read

How to Solve Probability Questions: Formulas, Rules & Solved Examples

प्रायिकता (Probability) के प्रश्न कैसे हल करें: सूत्र, नियम और हल सहित उदाहरण

Probability (प्रायिकता) is the mathematical quantification of the chance that a particular event will occur, represented on a continuous scale from 0 (impossible event / असंभव घटना) to 1 (certain event / निश्चित घटना). In competitive examinations across Madhya Pradesh (MP Police Constable, MP Sub-Inspector, MP Patwari, MPPSC CSAT) and central recruitment (SSC CGL/CHSL/MTS, RRB NTPC), probability problems most frequently test four standard random experiments: tossing fair coins, rolling 6-faced dice, drawing cards from a standard 52-card pack, and drawing colored balls from an urn without replacement. The central pillar of solving any exam problem is accurately computing the total sample space n(S) and the favorable outcomes n(E), while strategically employing the complementary event shortcut P(At least one) = 1 - P(None) to save crucial exam minutes.

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