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RPF SI Arithmetic Syllabus

RPF SI

14
Topics
56
Sub-topics
50
Questions

Arithmetic is one of 4 sections in the RPF SI syllabus. It has 14 topics and 56 sub-topics, with about 50 questions (50 marks).

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RPF SI Arithmetic: topic-wise syllabus

  1. 1

    Number Systems

    • Types of Numbers (Natural, Whole, Integers, Rational, Irrational)
    • LCM & HCF (Prime Factorization, Division Method)
    • Divisibility Rules & Remainder Theorem
    • Fractions, Decimals & Recurring Decimals
    • Surds & Indices (Laws & Simplification)
  2. 2

    Percentages

    • Basic Percentage Calculations
    • Percentage Change & Successive Percentage
    • Population Growth & Expenditure Based Problems
    • Election, Marks & Income Based Problems
  3. 3

    Ratio & Proportion

    • Basic Ratio & Proportion Concepts
    • Direct & Inverse Proportion
    • Partnership Problems (Profit Sharing, Capital Ratios)
    • Componendo & Dividendo, Invertendo & Alternendo
  4. 4

    Average

    • Basic Average of Numbers & Quantities
    • Weighted Average & Mixture Blending Problems
    • Average of Consecutive Numbers, Odd & Even Numbers
    • Errors, Replacement & Inclusion Based Average Problems
  5. 5

    Profit & Loss

    • Cost Price, Selling Price, Profit & Loss Percentages
    • Marked Price, Discount & GST Based Problems
    • Successive Transactions (Chain of Traders)
    • Faulty Weights, Dishonest Shop & Misleading Graphs
  6. 6

    Discount

    • Single & Successive Discounts (Equivalent Discount)
    • Relation Between Discount & Marked Price
    • True Discount & Bankers Discount
  7. 7

    Simple & Compound Interest

    • Simple Interest (Principal, Rate, Time Calculations)
    • Compound Interest (Annual, Half-Yearly, Quarterly Compounding)
    • Difference Between CI & SI for Different Periods
    • Installments, Loan Repayment & Growing Annuities
  8. 8

    Time & Work

    • Work Efficiency, Combined Work & Individual Work
    • Pipes & Cisterns (Inlet, Outlet, Partial Filling)
    • Work & Wages (Proportional Distribution)
    • Alternate Day Work, Men-Women-Children & Fraction Work
  9. 9

    Time Speed & Distance

    • Basic Speed, Distance & Time Relations
    • Relative Speed (Approach & Separation Cases)
    • Average Speed (Different Distance & Time Scenarios)
    • Circular Track Problems & Race (Head Start, Beating)
  10. 10

    Trains Related Problems

    • Crossing Stationary Objects (Poles, Platforms, Bridges)
    • Crossing Moving Objects (Trains Approaching & Overtaking)
    • Passing Through Tunnels, Signals & Level Crossings
    • Train Length, Speed & Time of Crossing
  11. 11

    Boats & Streams

    • Still Water Speed & Stream Speed Concepts
    • Upstream & Downstream Speed Calculations
    • Distance Based Problems (To & Fro, Meeting Points)
    • Man-Boat-River & Raft Based Problems
  12. 12

    Mensuration

    • Area & Perimeter of 2D Figures (Triangle, Rectangle, Circle, Trapezium)
    • Volume & Surface Area of 3D Figures (Cube, Cuboid, Cylinder, Sphere, Cone)
    • Composite Figures, Combination of Solids & Irregular Shapes
    • Polygons, Parallelograms & Rhombus Properties
  13. 13

    Algebra

    • Linear Equations in One & Two Variables
    • Quadratic Equations (Roots, Sum & Product of Roots)
    • Polynomials, Algebraic Identities & Factorization
    • Inequalities & Linear Programming Basics
  14. 14

    Data Interpretation & Probability

    • Tabular Data Interpretation (Row & Column Analysis)
    • Bar Graphs, Line Graphs & Pie Charts
    • Mixed Graphs & Caselets Based Problems
    • Probability (Coin, Dice, Cards, Balls & Events)

Frequently asked questions

What topics are in the RPF SI Arithmetic syllabus?

Arithmetic for RPF SI has 14 topics: Number Systems, Percentages, Ratio & Proportion, Average, Profit & Loss, Discount, Simple & Compound Interest, Time & Work, Time Speed & Distance, Trains Related Problems and 4 more, with 56 sub-topics in all.

How many questions come from Arithmetic in RPF SI?

About 50 questions (50 marks). Always check the latest notification, as numbers can change.

How do I practise RPF SI Arithmetic on Topicly?

Pick a topic above and study it your way — step-by-step chat, a quiz, a formula sheet or a voice call with Sia. Topicly tracks each sub-topic so you know what's left. It's free to start.

Compiled from official notifications for study purposes. Always confirm with the conducting body's latest notification.