APPSC Group 1 · Study notes
Quantitative aptitude and reasoning notes for APPSC Group 1
130 notes in 18 chapters. Open a chapter, or go straight to a note.
1.2.1 Number system and simplification 14
- 1.2.1.1Number types and divisibility rulesRead here
- 1.2.1.2Remainders, unit digits and factorsRead here
- 1.2.1.3HCF and LCM: methods and word problemsRead here
- 1.2.1.4Simplification and approximation: BODMAS, surds, indices and rootsRead here
- 1.2.1.5Number puzzles: digits, sums and differencesRead here
- 1.2.1.6Decimal fractions and recurring decimals: conversion and comparisonRead here
- 1.2.1.7Squares, square roots, cubes and cube roots: fast methods and estimationRead here
- 1.2.1.8Surds and indices: laws, rationalising and comparing surdsRead here
- 1.2.1.9Factorials: trailing zeros and the highest power of a prime in n!Read here
- 1.2.1.10Counting factors: number and sum of factors, perfect squares and co-primesRead here
- 1.2.1.11Remainder theorems: cyclicity, Fermat, Wilson and negative remaindersRead here
- 1.2.1.12Problems on numbers: turning word statements into equationsRead here
- 1.2.1.13Speed maths: multiplication, squaring and percentage shortcutsRead here
- 1.2.1.14Place value, Roman numerals and counting digits in a rangeRead here
1.2.2 Algebra: equations, identities and progressions 6
- 1.2.2.1Linear equations in one and two variables: word problems
- 1.2.2.2Quadratic equations: roots, nature of roots and comparing two quantities
- 1.2.2.3Algebraic identities and factorisation for fast simplification
- 1.2.2.4Logarithms: laws, change of base and simplification
- 1.2.2.5Arithmetic and geometric progressions: nth term and sums
- 1.2.2.6Inequalities and modulus: solving and comparing expressions
1.3.1 Percentages and commercial arithmetic 13
- 1.3.1.1Percentages: fraction equivalents and successive change
- 1.3.1.2Profit and loss: cost price, selling price and profit per cent
- 1.3.1.3Marked price, discounts and the dishonest dealer
- 1.3.1.4Simple interest
- 1.3.1.5Compound interest and the CI–SI difference
- 1.3.1.6Percentage applications: population, depreciation, elections and exam marks
- 1.3.1.7Price, consumption and expenditure; income and savings
- 1.3.1.8Successive discounts, offers and comparing deals
- 1.3.1.9Instalments: equal payments under simple and compound interest
- 1.3.1.10Compound interest: half-yearly and quarterly compounding, varying rates and growth
- 1.3.1.11True discount and banker's discount
- 1.3.1.12Stocks and shares: face value, market value, dividend and yield
- 1.3.1.13GST, commission and brokerage in everyday arithmetic
1.3.2 Ratio, ages, averages and mixtures 10
- 1.3.2.1Ratio and proportion
- 1.3.2.2Partnership: sharing profit by capital and time
- 1.3.2.3Problems on ages
- 1.3.2.4Averages: replacement, inclusion and exclusion
- 1.3.2.5Mixtures and alligation
- 1.3.2.6Variation: direct, inverse and joint; mean and third proportional
- 1.3.2.7Chain rule: men, days, hours and work in proportion
- 1.3.2.8Repeated replacement in mixtures
- 1.3.2.9Weighted averages and averages of consecutive numbers
- 1.3.2.10Ratio word problems: coins, notes, salaries and distribution
1.3.3 Time, work, speed and distance 9
- 1.3.3.1Time and work: LCM method, efficiency and wages
- 1.3.3.2Pipes and cisterns
- 1.3.3.3Speed, distance and time: average speed and relative speed
- 1.3.3.4Problems on trains
- 1.3.3.5Boats and streams
- 1.3.3.6Time and work: alternate days, leaving and joining, and men–women–boys equivalence
- 1.3.3.7Races and games of skill: start, beat, dead heat and points
- 1.3.3.8Circular tracks: meeting points and first meeting at the start
- 1.3.3.9Speed problems: late and early arrival, stoppages and chases
1.4.1 Mensuration and counting 6
- 1.4.1.1Mensuration: perimeter, area, volume and surface area
- 1.4.1.2Permutations, combinations and probability: basics
- 1.4.1.3Plane areas: triangles, quadrilaterals, circles, sectors and paths
- 1.4.1.4Area word problems: fencing, flooring, painting and borders
- 1.4.1.5Solids: cuboid, cylinder, cone, sphere, hemisphere and frustum
- 1.4.1.6Melting, recasting, water flow and percentage change in dimensions
1.4.2 Geometry and trigonometry 8
- 1.4.2.1Lines, angles and parallel lines
- 1.4.2.2Triangles: angle properties, congruence, similarity and centres
- 1.4.2.3Right triangles: Pythagoras, triples and special triangles
- 1.4.2.4Quadrilaterals and polygons: angle sums, diagonals and properties
- 1.4.2.5Circles: chords, tangents and angle theorems
- 1.4.2.6Coordinate geometry basics: distance, section formula, slope and area
- 1.4.2.7Trigonometry basics: ratios, standard angles and identities
- 1.4.2.8Heights and distances
1.5.1 Basic statistics and growth rates 3
1.5.2 Data interpretation and sufficiency 7
- 1.5.2.1Data interpretation: tables and bar graphs
- 1.5.2.2Data interpretation: pie charts
- 1.5.2.3Data interpretation: line graphs and mixed charts
- 1.5.2.4Data sufficiency: arithmetic and reasoning
- 1.5.2.5Caselet data interpretation: turning a paragraph into a table
- 1.5.2.6Data interpretation shortcuts: approximation, percentage change and ratios
- 1.5.2.7Missing-data tables and Venn-based data interpretation
1.1.1 Series, analogies and classification 7
- 1.1.1.1Number series: patterns, missing and wrong terms
- 1.1.1.2Letter and alphanumeric series
- 1.1.1.3Analogies: number, letter and word
- 1.1.1.4Classification: odd one out
- 1.1.1.5Missing numbers in figures and matrices
- 1.1.1.6Letter repetition series and alphabet position tricks
- 1.1.1.7Word formation, dictionary order and meaningful-word arrangement
1.1.2 Coding–decoding 5
1.1.3 Blood relations and direction sense 5
- 1.1.3.1Blood relations: direct statements and family trees
- 1.1.3.2Coded blood relations and family puzzles
- 1.1.3.3Direction sense: turns and final direction
- 1.1.3.4Distance and displacement: shortest distance and shadow problems
- 1.1.3.5Mixed puzzles: blood relations with direction, seating or profession clues
1.1.4 Ranking, seating and puzzles 8
- 1.1.4.1Ranking and order: positions from both ends and interchange
- 1.1.4.2Linear seating arrangement
- 1.1.4.3Circular and square seating arrangement
- 1.1.4.4Puzzles: floor, box, day and comparison puzzles
- 1.1.4.5Caselets: selection under constraints
- 1.1.4.6Multi-attribute grid puzzles: the elimination table method
- 1.1.4.7Parallel rows: facing each other, gaps and unknown numbers of people
- 1.1.4.8Scheduling puzzles: days, months, years and lectures
1.1.5 Syllogism and verbal reasoning 12
- 1.1.5.1Syllogism: Venn method, possibility and either–or
- 1.1.5.2Venn diagrams: relationships between classes
- 1.1.5.3Statement and assumption
- 1.1.5.4Statement and conclusion, inference and course of action
- 1.1.5.5Strength of arguments and cause–effect
- 1.1.5.6Logical connectives: if–then, only if, unless, necessary and sufficient conditions
- 1.1.5.7Truth-tellers and liars
- 1.1.5.8Inequalities: direct and coded (≥, >, either–or)
- 1.1.5.9Critical reasoning: strengthen, weaken and assumptions in a passage
- 1.1.5.10Inference from passages: definitely true, probably true, false
- 1.1.5.11Decision making and problem solving: rule-based and situation questions
- 1.1.5.12Logical sequence of words and order of events
1.2.3 Calendar and clock 2
1.1.6 Non-verbal reasoning 7
1.1.7 Logic puzzles and problem solving 5
1.6.1 Emotional and social intelligence 3
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