Course module
Quantitative Aptitude — IOCL Engineers/Officers (Grade A) 2026 – General Aptitude (Paper 1)
- Lessons
- 269
- Duration
- 39 hr 47 min
- PYQs
- 249
- Practice
- 3287
42% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Percentage
Basic Concepts, Terminologies & Properties
Conversion Between Fractions (Ratio) & Percentages
- Demo: Basics of Percentages, Percentage - Fraction ConversionsStandard Video
- [Notes] Basics of Percentages, Percentage - Fraction ConversionsPdf
- Important Property, Trick to find 10 & 1 percent of any numberDrm Video
- [Notes] Important Property, Trick to find 10 & 1 percent of any numberPdf
- Short Tricks to Remember Ratio to Percentage Table Part 1Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 1Pdf
- Short Tricks to Remember Ratio to Percentage Table Part 2Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 2Pdf
- Short Tricks to Remember Ratio to Percentage Table Part 3Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 3Pdf
- Short Tricks to Remember Ratio to Percentage Table Part 4Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 4Pdf
- Practice Problems on Ratio to Percentage ConversionDrm Video
- [Notes] Practice Problems on Ratio to Percentage ConversionPdf
- Practice Problems on Percentage to Ratio ConversionDrm Video
- [Notes] Practice Problems on Percentage to Ratio ConversionPdf
- Question on Ratio to Percentage ConversionDrm Video
- [Notes] Question on Ratio to Percentage ConversionPdf
Finding Percentage
Ratio and Proportion (Ratios)
Basic Concepts & Properties of Ratio
Types of Ratio
Direct, Inverse & Joint Variation
Basic Concepts & Properties of Proportion
Division of Quantity in a Given Ratio
- Short Trick to Divide a Given Number X in ratio of M NDrm Video
- [Notes] Short Trick to Divide a Given Number X in ratio of M NPdf
- Short Trick to bring given set of numbers in proportionDrm Video
- [Notes] Short Trick to bring given set of numbers in proportionPdf
- Short Trick to convert given ratio into required ratioDrm Video
- [Notes] Short Trick to convert given ratio into required ratioPdf
- Finding ratio of 2 numbers from their sum & differenceDrm Video
- [Notes] Finding ratio of 2 numbers from their sum & differencePdf
Successive & Combined Ratio Problems
- Short Trick to Find A C when A B & B C is givenDrm Video
- [Notes] Short Trick to Find A C when A B & B C is givenPdf
- Short Trick to Find A B C given some mA = nB = pCDrm Video
- [Notes] Short Trick to Find A B C given some mA = nB = pCPdf
- Short Trick to find (mX + nY) (pX + qY) given x yDrm Video
- [Notes] Short Trick to find (mX + nY) (pX + qY) given x yPdf
- Short Trick to Find bigger ratio out of given 2 ratiosDrm Video
- [Notes] Short Trick to Find bigger ratio out of given 2 ratiosPdf
Powers and Exponents (Surds and Indices)
Laws of Surds & Simplification
Rationalization of Surds
Comparing & Simplifying Complex Powers
Logarithm
Basic Concepts and Terminologies
Laws or Properties or Rules of Logarithms
- Demo: Properties of Logarithms - Part 1Standard Video
- [Notes] Properties of Logarithms - Part 1Pdf
- Demo: Properties of Logarithms - Part 2Standard Video
- [Notes] Properties of Logarithms - Part 2Pdf
- Properties of Logarithms - Part 3Drm Video
- [Notes] Properties of Logarithms - Part 3Pdf
- Some Important Log values to rememberDrm Video
- [Notes] Some Important Log values to rememberPdf
Solving Logarithmic Expressions and Equations
- Set 1 - Important Questions on LogarithmsDrm Video
- [Notes] Set 1 - Important Questions on LogarithmsPdf
- Set 2 - Important Questions on LogarithmsDrm Video
- [Notes] Set 2 - Important Questions on LogarithmsPdf
- Set 3 - Important Questions on LogarithmsDrm Video
- [Notes] Set 3 - Important Questions on LogarithmsPdf
- Set 4 - Important Questions on LogarithmsDrm Video
- [Notes] Set 4 - Important Questions on LogarithmsPdf
- Set 5 - Important Questions on LogarithmsDrm Video
- [Notes] Set 5 - Important Questions on LogarithmsPdf
- Set 6- Important Questions on LogarithmsDrm Video
- [Notes] Set 6- Important Questions on LogarithmsPdf
- 12 Logarithm (Quick Revision & Practice Problems)Drm Video
- [Notes] 12 Logarithm (Quick Revision & Practice Problems)Pdf
- GATE 2018 - Computer Science - Logarithm - 2 MarksDrm Video
Sequence and Series (Series)
Basic Concepts & Terminologies
Arithmetic Progression (AP)
Arithmetic Mean & Geometric Mean (AM-GM)
Multiple Topics
- Some Important Questions on Sequence & SeriesDrm Video
- [Notes] Some Important Questions on Sequence & SeriesPdf
- Effect of Addition, Subtraction, Multiplication, DivisionDrm Video
- [Notes] Effect of Addition, Subtraction, Multiplication, DivisionPdf
- Quick Revision and Practice QuestionsDrm Video
- [Notes] Quick Revision and Practice QuestionsPdf
Permutation and Combination
Basic Concepts & Counting Principles
Permutations (with & without Repetition)
- Demo: Permutations with No RepetitionStandard Video
- [Notes] Permutations with No RepetitionPdf
- Demo: Permutations with Unlimited RepetitionsStandard Video
- [Notes] Permutations with Unlimited RepetitionsPdf
- Permutations with Limited RepetitionsDrm Video
- [Notes] Permutations with Limited RepetitionsPdf
- Tricks to Solve The Famous MISSISSIPPI Problem in P&CDrm Video
- [Notes] Tricks to Solve The Famous MISSISSIPPI Problem in P&CPdf
- Vowels & Consonants Type Questions in P&CDrm Video
- [Notes] Vowels & Consonants Type Questions in P&CPdf
- Tricks to Solve Questions on Arrangement of LettersDrm Video
- [Notes] Tricks to Solve Questions on Arrangement of LettersPdf
- Tricks to Solve Questions on Arrangement of Digits (1)Drm Video
- [Notes] Tricks to Solve Questions on Arrangement of Digits (1)Pdf
- Tricks to Solve Questions on Arrangement of Digits (2)Drm Video
- [Notes] Tricks to Solve Questions on Arrangement of Digits (2)Pdf
Circular & Grouping Permutations
- Tricks to Solve Grouping Type Questions in P&CDrm Video
- [Notes] Tricks to Solve Grouping Type Questions in P&CPdf
- Tricks for Problems on Choosing Items from Group of ItemsDrm Video
- [Notes] Tricks for Problems on Choosing Items from Group of ItemsPdf
- Circular ArrangementsDrm Video
- [Notes] Circular ArrangementsPdf
- Circular Arrangements on GroupsDrm Video
- [Notes] Circular Arrangements on GroupsPdf
- Tricks to Solve Necklace Based ProblemsDrm Video
- [Notes] Tricks to Solve Necklace Based ProblemsPdf
Combinations (with & without Repetition)
- Combinations with No Repetitions & Unlimited RepetitionsDrm Video
- [Notes] Combinations with No Repetitions & Unlimited RepetitionsPdf
- Solving Some Basic Questions on Permutation & CombinationDrm Video
- [Notes] Solving Some Basic Questions on Permutation & CombinationPdf
- An Important Property (Binomial Theorem)Drm Video
- [Notes] An Important Property (Binomial Theorem)Pdf
- Total Outcomes, MCQ Paper Solving, Unlimited RepetitionsDrm Video
- [Notes] Total Outcomes, MCQ Paper Solving, Unlimited RepetitionsPdf
Special Applied Problems
- Tricks to Solve Questions on Binary StringsDrm Video
- [Notes] Tricks to Solve Questions on Binary StringsPdf
- Trick for Sum of all numbers formed from given digitsDrm Video
- [Notes] Trick for Sum of all numbers formed from given digitsPdf
- Finding Rank of a Word (Concept + Short Trick)Drm Video
- [Notes] Finding Rank of a Word (Concept + Short Trick)Pdf
- Question on Finding Rank of a Word Without RepetitionDrm Video
- [Notes] Question on Finding Rank of a Word Without RepetitionPdf
- Short Trick to Find Rank of a Word With RepetitionsDrm Video
- [Notes] Short Trick to Find Rank of a Word With RepetitionsPdf
- Short Trick to Find Number of HandshakesDrm Video
- [Notes] Short Trick to Find Number of HandshakesPdf
- Chocolate Picking ProblemDrm Video
- [Notes] Chocolate Picking ProblemPdf
- Counting Sticks ApproachDrm Video
- [Notes] Counting Sticks ApproachPdf
- Short Tricks to Solve Dice Sum Problem (1)Drm Video
- [Notes] Short Tricks to Solve Dice Sum Problem (1)Pdf
- Short Tricks to Solve Dice Sum Problem (2)Drm Video
- [Notes] Short Tricks to Solve Dice Sum Problem (2)Pdf
- Conventional Method of Solving Dice Sum ProblemDrm Video
- [Notes] Conventional Method of Solving Dice Sum ProblemPdf
- Short Tricks for Alphabet Selection Problem in P&CDrm Video
- [Notes] Short Tricks for Alphabet Selection Problem in P&CPdf
Advanced Counting Theorems
- Principle of Inclusion & Exclusion, Use of Venn DiagramDrm Video
- [Notes] Principle of Inclusion & Exclusion, Use of Venn DiagramPdf
- Number of Intersection Points & ParallelogramDrm Video
- [Notes] Number of Intersection Points & ParallelogramPdf
- Concept & Short Tricks of Derangement in P&CDrm Video
- [Notes] Concept & Short Tricks of Derangement in P&CPdf
- Important Questions on DerangementsDrm Video
- [Notes] Important Questions on DerangementsPdf
Probability
Basic Concepts and Terminology
- What is Experiment, Event, Favorable & Total OutcomeDrm Video
- [Notes] What is Experiment, Event, Favorable & Total OutcomePdf
- What is Sure Event, Impossible Event, Complementary EventDrm Video
- [Notes] What is Sure Event, Impossible Event, Complementary EventPdf
- Short Trick to find total outcomes in an experimentDrm Video
- [Notes] Short Trick to find total outcomes in an experimentPdf
- Mutually Exclusive Events & Exhaustive EventsDrm Video
- [Notes] Mutually Exclusive Events & Exhaustive EventsPdf
- Odds in Favour of an event & Odds Against An EventDrm Video
- [Notes] Odds in Favour of an event & Odds Against An EventPdf
Classical Problems (Cards, Dice, Coins, Digits, Number, Objects)
- Short Tricks to deal with cases of 'At least' & 'At most'Drm Video
- [Notes] Short Tricks to deal with cases of 'At least' & 'At most'Pdf
- Tricks & Techniques to Solve Dice Sum ProblemsDrm Video
- [Notes] Tricks & Techniques to Solve Dice Sum ProblemsPdf
- Tricks & Techniques to Solve Playing Cards ProblemDrm Video
- [Notes] Tricks & Techniques to Solve Playing Cards ProblemPdf
- Finding Probability of 53 Sundays in a Leap YearDrm Video
- [Notes] Finding Probability of 53 Sundays in a Leap YearPdf
Probability Using Venn Diagrams & Set Theory
Mensuration and Geometry
Basic Concepts and Geometric Terminology
Statistics
Introduction & Types of Data
Mean, Median, and Mode for grouped data
Data Interpretation
Basic Concepts & Terminologies
- Demo: Pre-requisites & Basic ConceptsStandard Video
- [Notes] Pre-requisites & Basic ConceptsPdf
- Demo: Types of GraphsStandard Video
- [Notes] Types of GraphsPdf
- Demo: Tricks Ratio to Percentage TableStandard Video
- [Notes] Tricks Ratio to Percentage TablePdf
- Ratio - Percentage ConversionDrm Video
- [Notes] Ratio - Percentage ConversionPdf
Table Graph
Pie Chart (Pie Graph)
Average
Basic Concepts and Formulas
Average of Consecutive / Odd / Even / Natural Numbers
Average of Arithmetic Series, Squares, and Cubes
Change in Average (When Members Join, Leave, or Replace)
Effect on Average by Arithmetic Operations
Weighted Average, Combined / Mixture Average Problems
Practical and Contextual Word Problems
Arithmetic
Previous-year questions
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