Maths


Class - RPF Sub Inspector Subjects
Everything You need to know
 

Quantitative Aptitude is an important and common section in all competitive and government recruitment examinations such as UPSC, SSC,  Here we will cover the various topics regarding Quantitative Aptitude. These concepts if mastered help you to crack many examinations like SSC, Bank PO, Clerk, Constable etc. At ABHYASONLINE.IN you can master the concepts at your own learning pace. It provides conceptual testing with analytical reports identifying the weak, moderate and strong concepts. We, at ABHYASONLINE.IN believe that, if the weak concepts are timely identified and improved, then every student can achieve their goals in life. Follow the links below to understand and master each and every concept of various topics in Quantitative Aptitude along with video lectures.

 

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- Time and Work

- Direct Variation With Exponents

- Inverse Variation With Exponents


 

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- Even and Odd Numbers

- Prime and Composite Numbers

- Co-Prime and Twin Prime Numbers

- Factors

- Multiples

- Prime Factorization

- Highest Common Factor

- Least Common Multiple

- Relationship Between HCF & LCM

- Statement Sums Involving H.C.F.

- Statement Sums Involving L.C.M.

- BODMAS Simplification Without Brackets

- BODMAS Simplification With Simple Brackets

- BODMAS Simplification With Complex Brackets


 

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- Comparision By Difference

- Comparison By Division

- Ratio

- Ratio and Its Simplest Form

- Comparision of Ratios

- Equivalent Ratios

- Comparing Quantities Using Ratio

- Statement Sums involving Ratios

- Proportion

- Difference Between Ratio and Proportion

- Continued Proportion

- Statement Sums involving Proportion

- Tricks For Ratio and Proportion

- Unitary Method


 

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- Properties of Rectangle

- Properties of Rhombus

- Properties of Square

- Properties of Trapezium


 

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- Polygons and its Classification

- Types of Quadrilateral

- Angle Sum Property of Quadrilateral

- Angle Sum Property of Polygons

- Sum of the Measures of the Exterior Angles of a Polygon


 

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- Solving Statements For A Two Digit Number

- Statement sums involving Coins

- Problems Based on Speed

- Solving Statement For Upstream And Downstream


 

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- Solving Linear Equations without Brackets

- Solving Equation with Brackets

- Statement Sums involving Linear Equations

- Solving Statements Involving Age


 

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- Perfect Cube

- Properties of Cubes of Numbers

- Cube Root by Prime Factorisation

- Cube Root by Successive Subtraction

- Cube Root Using Digits

- Cube using Column Method

- Cube Root by Estimation Method


 

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- Square Using Column Method

- Square Using Diagonal Method

- Square Of Number Ending With 5

- Square Root Using Successive Subtraction of Odd Numbers

- Square Root Using Tens and Ones Method

- Square Root Using Long Division

- Finding Nearest Perfect Square by Subtraction

- Finding Nearest Perfect Square by Addition

- Square Root of Decimals

- Approximating Square Roots


 

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- Perfect Square

- Square of Number 1-50

- Square Root Using Prime Factorization

- General Properties of Squares

- Properties of Square - Based on Ending Digits

- Properties of Square - Unit Digit of Square

- Properties of Square - Difference of Consecutive Numbers

- Pythagorean Triplet

- Number Between Square Numbers

- Properties of Square - Based on Pattern


 

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- Identity Property

- Commutative Property

- Multiplicative Inverse

- Division of Rational Numbers

- Multiplication of Rational Numbers

- Rational Numbers between Two Rational Numbers

- Properties of Rational Numbers

- Simplification of Rational Numbers


 

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- Rational Numbers

- Equivalent Rational Numbers

- Standard Form of Rational Numbers

- Comparison of Rational Numbers by Cross Multiplication

- Comparison of Rational Numbers

- Addition of Rational Numbers

- Additive Inverse

- Subtraction of Rational Numbers

- Associative Property

- Representation of Rational Numbers on Number Line

- Distributive Property

- Closure Property

- Absolute Value of Rational Numbers


 

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- Law 4 Power of Exponents

- Law 5 Zero Exponent

- Positive and Negative Integral Exponents

- Standard Form of Exponents and Power

- Statement Sums Involving Exponent and Power

- Simplification of Exponents and Power


 

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- Express as Rational Number

- Express in Exponential Form

- Law 1 Product of exponents

- Law 2 Division of Exponents

- Law 3 Inverse of Exponents

- Product of base when exponent is same


 

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- Algebraic Identity - Square of Sum of Binomial

- Algebraic Identity - Square of difference of Binomial

- Algebraic Identity - Dfference of Square

- Algebraic Identity -3

- Algebraic Identity - Square of Trinomial

- Algebraic Identity - Difference of Cubes

- Algebraic Identity - Sum of Cubes

- Algebraic Identity -Cube of Sum of Binomial

- Algebraic Identity -Cube of Difference of Binomial

- Algebraic Identity- Conditional

- Factorisation Using Square Identities

- Factorisation Using Cubic Identities


 

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- Direct Variation

- Inverse Variation


 

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- Range of Data

- Bar Graph

- Frequency Distribution

- Data and its Interpretation

- Class Mark

- Class Size

- Histogram

- Pie Chart


 

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- Deck of Cards Probability

- Probability of An Event

- Dice Probability

- Probability Coin Experiment

- Definition of Probability

- Favourable and Unfavourable Outcomes


 

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- Factorization into Monomials

- Factorization by Grouping of Terms

- Factorisation Using Square Identities

- Factorization by Middle Term Splitting


 

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- Like and Unlike Terms

- Finding Value of an Expression

- Polynomial Expression

- Degree of a Term

- Degree of a Polynomial

- Standard Form For a Polynomial

- Addition of Algebraic Expression

- Subtraction of Algebraic Expression

- Multiplication of Monomials

- Multiplication of Binomial with a Monomial

- Multiplication of Binomials

- Division of Polynomial by a Monomial

- Division of Polynomial by another Polynomial Long Division


 

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- Simple Interest

- Compound Interest Compounded Annually

- Compound Interest Different Rates

- Compound Interest Time in Fractions

- Compound Interest Half Yearly

- Compound Interest Quarterly

- Inverse Problems on Compound Interest - Principal

- Inverse Problems on Compound Interest - Rate

- Inverse Problems on Compound Interest Time Period

- Problems on Population Growth

- Problems on Depreciation


 

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- Profit and Loss in Rupees

- Profit and Loss Percent

- Finding Cost Price

- Finding Selling Price

- Discount and Discount Percentage

- Finding Marked Price and List Price

- Successive Discount

- Finding Tax


 

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- Ratio and Percentages

- Using OF Operator in Percentages

- Express the Fraction as Percentage

- Express Decimal as Percentage

- Express as Percentage

- Percentage Change

- Successive Percentage Change

- Percentage Increase or Decrease Using Multiplier

- Percetage Increase or Decrease

- Unitary Method In Percentages


 

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- Numbers in General Form

- Divisibility Rule of 2

- Divisibility Rule of 10

- Divisibility Rule of 5

- Divisibility Rule of 9

- Divisibility Rule of 3

- Divisibility Rule of 4

- Divisibility Rule of 8

- Divisibility Rule of 11

- Divisibility Rule of 6

- Divisibility Rule of 7

- Interchanging Digits

- Tricks With Digits

- Cryptarithm


 

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- Perimeter of Square

- Perimeter of Rectangle

- Circumference of Circle

- Area of Square

- Area of Rectangle

- Area of Triangle

- Area of Circle

- Area of a Parallelogram

- Area of Trapezium

- Perimeter of Trapezium

- Area of Rhombus

- Perimeter of Rhombus

- Area of Equilateral Triangle

- Area of Path and Verandah

- Area of Composite Figure


 

Considering previous year question paper there is a rare chance that direct Question will be asked but these concepts are required for solving other questions. Abhyas Self learning provides a tool to master these concepts

 

Explore Concepts (Click & View)

- BODMAS Simplification Without Brackets

- BODMAS Simplification With Simple Brackets

- BODMAS Simplification With Complex Brackets


 

Considering previous year question paper there is  a rare chance that direct Question will be asked but these concepts are required for solving other questions. Abhyas Self learning provides a tool to master these concepts

 

Explore Concepts (Click & View)

- Natural Number Whole number and Negative Integers

- Rational and Irrational Numbers

- Rationalization


 

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- Statistics

- Statistical Data

- Data and its Interpretation

- Range of Data

- Frequency Distribution

- Mean of Ungrouped Data

- Median of Ungrouped Data

- Mode of Ungrouped Data

- Class Size

- Class Mark

- Mean of Grouped Data

- Median of Grouped Data

- Mode of Grouped Data

- Empirical Formula for Mean Median and Mode


 


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