Police Constable Exams Syllabus: Quantitative/Numerical Aptitude1.
Number System- Basic concepts of numbers, such as natural numbers, whole numbers, integers, rational numbers, and irrational numbers
- Properties of numbers, including divisibility rules, prime and composite numbers, factors and multiples, and prime factorization
- LCM (Least Common Multiple) and HCF (Highest Common Factor)
- Divisibility tests for numbers
- Division algorithms
2.
Problem on Ages- Problems based on the ages of individuals, including average age, ratio of ages, and age difference
- Problems involving the present age, age at a certain time in the past, and age in the future
- Problems on ages of family members and their relationships
3.
Simplification & Approximation- Simplification of mathematical expressions using the BODMAS rule (Bracket, Order, Division, Multiplication, Addition, and Subtraction)
- Approximation of values to simplify calculations
- Problems involving simplification of complex fractions and decimals
4.
Compound & Simple Interest- Calculation of compound and simple interest
- Problems on interest rates, principal amount, and time periods
- Calculation of maturity amount and total interest
5.
Averages- Calculation of average of a set of numbers
- Problems involving average speed, average weight, average marks, etc.
- Calculation of missing numbers based on given average
6.
Percentage- Calculation of percentage of a given quantity
- Problems involving percentage increase or decrease
- Calculation of percentage change and percentage error
7.
Ratio and Proportion- Calculation of ratios and proportions
- Problems involving direct and inverse proportions
- Calculation of mean proportional and third proportional
8.
Speed, Distance and Time- Calculation of speed, distance, and time
- Problems involving average speed, relative speed, and time taken to cover a distance
- Problems on trains, boats, and streams
9.
Mensuration: Volume, Surface Area & Solid Figures- Calculation of volume and surface area of 2D and 3D shapes, including cubes, cylinders, cones, spheres, etc.
- Problems involving the volume and surface area of composite figures
- Calculation of lateral surface area and total surface area
10.
Data Interpretation- Interpretation of data presented in various forms, such as tables, bar graphs, line graphs, and pie charts
- Calculation of average, percentage, and ratio based on given data
- Analysis and comparison of data sets
11.
Time and Work- Calculation of work done, time taken, and efficiency
- Problems involving the work done by multiple individuals working together or at different rates
- Calculation of work done in a given time period
12.
Algebra- Basic concepts of algebra, including variables, constants, expressions, and equations
- Simplification of algebraic expressions
- Problems involving linear equations, quadratic equations, and simultaneous equations
13.
Trigonometry- Basic trigonometric ratios (sine, cosine, tangent)
- Calculation of angles, sides, and heights in right-angled triangles
- Problems involving trigonometric identities and equations
14.
Geometry- Basic concepts of geometry, including lines, angles, triangles, quadrilaterals, circles, and polygons
- Calculation of perimeter, area, and diagonal of various shapes
- Problems involving similarity, congruence, and properties of geometric figures
15.
Vedic Mathematics- Introduction to Vedic Mathematics techniques for faster calculation
- Vedic Mathematics tricks for mental calculations and simplification
16.
Profit & Loss- Calculation of profit and loss percentage
- Problems involving cost price, selling price, and profit/loss
- Calculation of discount and marked price
17.
Partnerships- Problems involving profit sharing among partners
- Calculation of individual investments, profit/loss sharing ratios, and total profit/loss
18.
Mixtures & Alligations- Problems involving mixing of two or more substances with different properties
- Calculation of the ratio of ingredients in a mixture
- Problems involving replacement or removal of a component from a mixture
19.
HCF & LCM- Calculation of the highest common factor (HCF) and least common multiple (LCM)
- Problems involving finding HCF and LCM of multiple numbers
- Calculation of missing numbers based on given HCF or LCM
20.
Fractions- Simplification and comparison of fractions
- Problems involving addition, subtraction, multiplication, and division of fractions
- Calculation of fractions in their simplest form
21.
Square Roots & Cube Roots- Calculation of square roots and cube roots of numbers
- Problems involving estimation and simplification of square roots and cube roots
22.
Indices & Surds- Calculation of powers and roots
- Problems involving simplification and evaluation of expressions with indices and surds
23.
Height & Distance- Calculation of heights and distances using trigonometric concepts and formulas
- Problems involving angles of elevation and depression
24.
Graph of linear equation- Interpretation and analysis of linear equations in graphical form
- Problems involving finding the slope, intercepts, and coordinates of points on a graph
25.
Probability- Calculation of probability of an event
- Problems involving probability based on dice, cards, coins, etc.
- Calculation of conditional probability and probability of multiple events
26.
Area & Perimeter- Calculation of area and perimeter of various shapes, including rectangles, triangles, circles, etc.
- Problems involving finding missing measurements based on given area or perimeter
27.
Problems On Trains- Calculation of relative speed, time taken, and distance covered by trains
- Problems involving overtaking, crossing, and meeting of trains
28.
Banker’s Discount- Calculation of banker's discount and true discount
- Problems involving the present value and maturity value of bills
29.
Chain Rule- Problems involving the chain rule in differentiation
- Calculation of rates of change and derivatives
30.
Pie Chart- Interpretation and analysis of data presented in pie charts
- Calculation of percentages and angles based on given data
31.
Line Chart- Interpretation and analysis of data presented in line charts
- Calculation of trends and changes based on given data
32.
Use of Tables and Graphs- Interpretation and analysis of data presented in tables and graphs
- Calculation of averages, percentages, and ratios based on given data
33.
Boats And Streams- Calculation of speed of boat, speed of stream, and time taken to cover a distance
- Problems involving upstream and downstream journeys
34.
Mathematical Operations- Calculation of mathematical operations, including addition, subtraction, multiplication, and division
- Problems involving complex calculations and step-by-step operations
35.
Stock and Shares- Calculation of stock value, shares, and investments
- Problems involving dividends, profits, and losses in stock trading
36.
Logarithms- Calculation of logarithmic values and properties
- Problems involving simplification and evaluation of logarithmic expressions
This course is helpful for the following exams: Police SI Exams, Police Constable Exams