TGPSC MPSO / ASO · Study notes
Quantitative aptitude and reasoning notes for TGPSC MPSO / ASO
113 notes in 15 chapters. Open a chapter, or go straight to a note.
16.1 Number system and simplification 14
- 16.1.1Number types and divisibility rulesRead here
- 16.1.2Remainders, unit digits and factorsRead here
- 16.1.3HCF and LCM: methods and word problemsRead here
- 16.1.4Simplification and approximation: BODMAS, surds, indices and rootsRead here
- 16.1.5Number puzzles: digits, sums and differencesRead here
- 16.1.6Decimal fractions and recurring decimals: conversion and comparisonRead here
- 16.1.7Squares, square roots, cubes and cube roots: fast methods and estimationRead here
- 16.1.8Surds and indices: laws, rationalising and comparing surdsRead here
- 16.1.9Factorials: trailing zeros and the highest power of a prime in n!Read here
- 16.1.10Counting factors: number and sum of factors, perfect squares and co-primesRead here
- 16.1.11Remainder theorems: cyclicity, Fermat, Wilson and negative remaindersRead here
- 16.1.12Problems on numbers: turning word statements into equationsRead here
- 16.1.13Speed maths: multiplication, squaring and percentage shortcutsRead here
- 16.1.14Place value, Roman numerals and counting digits in a rangeRead here
16.2 Algebra: equations, identities and progressions 6
- 16.2.1Linear equations in one and two variables: word problems
- 16.2.2Quadratic equations: roots, nature of roots and comparing two quantities
- 16.2.3Algebraic identities and factorisation for fast simplification
- 16.2.4Logarithms: laws, change of base and simplification
- 16.2.5Arithmetic and geometric progressions: nth term and sums
- 16.2.6Inequalities and modulus: solving and comparing expressions
16.3 Percentages and commercial arithmetic 13
- 16.3.1Percentages: fraction equivalents and successive change
- 16.3.2Profit and loss: cost price, selling price and profit per cent
- 16.3.3Marked price, discounts and the dishonest dealer
- 16.3.4Simple interest
- 16.3.5Compound interest and the CI–SI difference
- 16.3.6Percentage applications: population, depreciation, elections and exam marks
- 16.3.7Price, consumption and expenditure; income and savings
- 16.3.8Successive discounts, offers and comparing deals
- 16.3.9Instalments: equal payments under simple and compound interest
- 16.3.10Compound interest: half-yearly and quarterly compounding, varying rates and growth
- 16.3.11True discount and banker's discount
- 16.3.12Stocks and shares: face value, market value, dividend and yield
- 16.3.13GST, commission and brokerage in everyday arithmetic
16.4 Ratio, ages, averages and mixtures 10
- 16.4.1Ratio and proportion
- 16.4.2Partnership: sharing profit by capital and time
- 16.4.3Problems on ages
- 16.4.4Averages: replacement, inclusion and exclusion
- 16.4.5Mixtures and alligation
- 16.4.6Variation: direct, inverse and joint; mean and third proportional
- 16.4.7Chain rule: men, days, hours and work in proportion
- 16.4.8Repeated replacement in mixtures
- 16.4.9Weighted averages and averages of consecutive numbers
- 16.4.10Ratio word problems: coins, notes, salaries and distribution
16.5 Time, work, speed and distance 9
- 16.5.1Time and work: LCM method, efficiency and wages
- 16.5.2Pipes and cisterns
- 16.5.3Speed, distance and time: average speed and relative speed
- 16.5.4Problems on trains
- 16.5.5Boats and streams
- 16.5.6Time and work: alternate days, leaving and joining, and men–women–boys equivalence
- 16.5.7Races and games of skill: start, beat, dead heat and points
- 16.5.8Circular tracks: meeting points and first meeting at the start
- 16.5.9Speed problems: late and early arrival, stoppages and chases
16.6 Basic statistics and growth rates 3
16.7 Data interpretation and sufficiency 7
- 16.7.1Data interpretation: tables and bar graphs
- 16.7.2Data interpretation: pie charts
- 16.7.3Data interpretation: line graphs and mixed charts
- 16.7.4Data sufficiency: arithmetic and reasoning
- 16.7.5Caselet data interpretation: turning a paragraph into a table
- 16.7.6Data interpretation shortcuts: approximation, percentage change and ratios
- 16.7.7Missing-data tables and Venn-based data interpretation
16.8 Series, analogies and classification 7
- 16.8.1Number series: patterns, missing and wrong terms
- 16.8.2Letter and alphanumeric series
- 16.8.3Analogies: number, letter and word
- 16.8.4Classification: odd one out
- 16.8.5Missing numbers in figures and matrices
- 16.8.6Letter repetition series and alphabet position tricks
- 16.8.7Word formation, dictionary order and meaningful-word arrangement
16.9 Coding–decoding 5
16.10 Blood relations and direction sense 5
- 16.10.1Blood relations: direct statements and family trees
- 16.10.2Coded blood relations and family puzzles
- 16.10.3Direction sense: turns and final direction
- 16.10.4Distance and displacement: shortest distance and shadow problems
- 16.10.5Mixed puzzles: blood relations with direction, seating or profession clues
16.11 Ranking, seating and puzzles 8
- 16.11.1Ranking and order: positions from both ends and interchange
- 16.11.2Linear seating arrangement
- 16.11.3Circular and square seating arrangement
- 16.11.4Puzzles: floor, box, day and comparison puzzles
- 16.11.5Caselets: selection under constraints
- 16.11.6Multi-attribute grid puzzles: the elimination table method
- 16.11.7Parallel rows: facing each other, gaps and unknown numbers of people
- 16.11.8Scheduling puzzles: days, months, years and lectures
16.12 Syllogism and verbal reasoning 12
- 16.12.1Syllogism: Venn method, possibility and either–or
- 16.12.2Venn diagrams: relationships between classes
- 16.12.3Statement and assumption
- 16.12.4Statement and conclusion, inference and course of action
- 16.12.5Strength of arguments and cause–effect
- 16.12.6Logical connectives: if–then, only if, unless, necessary and sufficient conditions
- 16.12.7Truth-tellers and liars
- 16.12.8Inequalities: direct and coded (≥, >, either–or)
- 16.12.9Critical reasoning: strengthen, weaken and assumptions in a passage
- 16.12.10Inference from passages: definitely true, probably true, false
- 16.12.11Decision making and problem solving: rule-based and situation questions
- 16.12.12Logical sequence of words and order of events
16.13 Calendar and clock 2
16.14 Non-verbal reasoning 7
16.15 Logic puzzles and problem solving 5
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