Railways Notes / Mathematics (Quantitative Aptitude)
RRB NTPC · Group D Preparation

Mathematics
(Quantitative Aptitude)

Number System, Arithmetic, Algebra, Geometry, and Data Interpretation — the complete Quantitative Aptitude syllabus for RRB NTPC & Group D, with formulas and solved shortcuts. No PDF, no signup required.

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31 ChaptersFull topic coverage
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1
Number System
Natural, whole, integer, rational & irrational number types, plus divisibility rules
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2
Simplification (BODMAS)
Correct order of operations for solving multi-step expressions
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3
Decimals & Fractions
Types of fractions, decimal-fraction conversion, and fraction operations
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4
LCM & HCF
Prime factorisation and division methods, plus key applications
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5
Ratio and Proportion
Comparing quantities, compound ratio, and mean proportional
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6
Percentage
Fraction-equivalent method and successive percentage change
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7
Average
Simple, combined averages, and replacement/inclusion problems
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8
Profit and Loss
CP, SP, and Profit/Loss percentage relationships
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9
Discount
Marked Price, discount %, and successive discounts
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10
Simple Interest
SI formula and "sum becomes n times" rate shortcuts
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11
Compound Interest
Amount formula, half-yearly compounding, and CI-SI difference
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12
Time and Work
The LCM-based efficiency method and work-wages ratio
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13
Pipes and Cisterns
Inlet-outlet net efficiency for filling/emptying tanks
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14
Time, Speed and Distance
Unit conversion, relative speed, and average speed
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15
Boats and Streams
Upstream-downstream speed relations
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16
Trains
Crossing poles, platforms, and other trains
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17
Partnership
Profit-sharing ratio based on investment and time
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18
Mixture and Alligation
The alligation cross method and repeated dilution formula
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19
Algebra
Standard identities and solving linear equations
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20
Geometry
Triangle, circle, and quadrilateral angle theorems
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21
Mensuration (2D & 3D)
Area, perimeter, volume, and surface area formulas
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22
Trigonometry (Basic)
Trigonometric ratios and the standard angle values table
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23
Statistics
Mean, median, and mode calculations
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24
Data Interpretation (Table, Bar Graph, Pie Chart, Line Graph)
Reading and calculating from every standard DI format
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25
Square Root & Cube Root
Division method and perfect square/cube reference tables
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26
Surds and Indices
Laws of exponents and surd simplification rules
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27
Age Problems
Present-past-future age ratio equations
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28
Calendar
The odd days concept for finding any day of the week
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29
Clock
Angle-between-hands formula and faulty clock problems
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30
Permutation and Combination (Basic)
Arrangement vs selection — nPr and nCr formulas
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31
Probability (Basic)
Classical probability formula and the complement rule
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