Quantitative


Class - HCS Prelims 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.

 

Explore Chapters

 
 

Explore Concepts (Click & View)

- Problems Involving Speed of Boat In Still Water

- Problems Involving Boat Moving Downstream

- Problems Involving Boat Moving Upstream

- Solving Statement For Upstream And Downstream


 

Explore Concepts (Click & View)

- Problems Involving Moving Train And Stationary Person

- Problems Involving Train Crossing Bridge or Platform

- Problems Involving Crossing Of Trains Moving In Same Direction

- Problems Involving Crossing Of Trains Moving In Opposite Direction

- Problems Involving Moving Train And Moving Person

- Problems Based on Trains


 

Explore Concepts (Click & View)

- Single Pipe Emptying The Tank

- Single Pipe Filling The Tank

- Multiple Pipes Filling The Tank

- Pipes Emptying and Filling The Tank

- Solving Statements Involving Pipes


 

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)

- Even and Odd Numbers

- Prime and Composite Numbers

- Co-Prime and Twin Prime Numbers

- Numbers in General Form

- Interchanging Digits


 

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

- Converting Fractions into Decimal

- Converting Terminating Decimals into Fractions

- Rational and Irrational Numbers

- Rationalization


 

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)

- Divisibility Rule of 2

- Divisibility Rule of 3

- Divisibility Rule of 4

- Divisibility Rule of 5

- Divisibility Rule of 6

- Divisibility Rule of 7

- Divisibility Rule of 8

- Divisibility Rule of 9

- Divisibility Rule of 10

- Divisibility Rule of 11

- Tricks With Digits


 

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)

- 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

- Square Of Number Ending With 5

- Square Root Using Long Division

- Finding Nearest Perfect Square by Subtraction

- Finding Nearest Perfect Square by Addition

- Square Root of Decimals

- Approximating Square Roots


 

Explore Concepts (Click & View)

- Cube Root by Prime Factorisation

- Cube using Column Method

- Perfect Cube

- Properties of Cubes of Numbers

- Cube Root by Estimation Method

- Cube Root by Successive Subtraction

- Cube Root Using Digits


 

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


 

Explore Concepts (Click & View)

- Monomial Expression

- Binomial Expression

- Trinomial Expression

- Framing an Algebraic Expression

- Like and Unlike Terms

- Addition of Algebraic Expression

- Subtraction of Algebraic Expression

- Multiplication of Monomials

- Multiplication of Binomials

- Multiplication of Binomial with a Monomial

- Solving Linear Equations without Brackets

- Solving Equation with Brackets

- Finding Value of an Expression

- Factorization into Monomials

- Statement Sums involving Linear Equations

- Division of Polynomial by a Monomial


 

Explore Concepts (Click & View)

- 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


 

Explore Concepts (Click & View)

- Positive and Negative Integral Exponents

- Standard Form of Exponents and Power

- Express as Rational Number

- Express in Exponential Form

- Law 1 Product of exponents

- Law 2 Division of Exponents

- Law 3 Inverse of Exponents

- Law 4 Power of Exponents

- Law 5 Zero Exponent

- Product of base when exponent is same

- Simplification of Exponents and Power

- Statement Sums Involving Exponent and Power

- Surds and Its Type

- Rationalisation of Surds

- Comparision of Surds


 

Explore Concepts (Click & View)

- Multiples

- Prime Factorization

- Statement Sums Involving H.C.F.

- Highest Common Factor

- Statement Sums Involving L.C.M.

- Least Common Multiple

- Relationship Between HCF & LCM

- Factors


 

Explore Concepts (Click & View)

- 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


 

Explore Concepts (Click & View)

- Ratio and Percentages

- Using OF Operator in Percentages

- Express the Fraction as Percentage

- Express Decimal as Percentage

- Express as Percentage

- Percentage Change

- Percentage Increase or Decrease Using Multiplier

- Percetage Increase or Decrease

- Unitary Method In Percentages


 

Explore Concepts (Click & View)

- Profit and Loss in Rupees

- Profit and Loss Percent

- Finding Cost Price

- Finding Selling Price

- Finding Marked Price and List Price

- Discount and Discount Percentage


 

Explore Concepts (Click & View)

- 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


 

Explore Concepts (Click & View)

- 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


 

 

Explore Concepts (Click & View)

- Problems Based on Speed

- Speed of an Object

- Conversion of Units

- Problems Involving Ratio Of Speed

- Problems Involving Average Speed

- Problems Involving Relative Speed


 

Explore Concepts (Click & View)

- Identifying Quadratic Equations

- Factors of Quadratic Equation

- Factorization by Middle Term Splitting

- Factorization by Grouping of Terms

- Factorization by Completing the Square

- Quadratic Formula

- Nature of Roots of Quadratic Polynomial

- Equations Reducible to Quadratic Form

- Statement sum Involing Quadratic Equations

- Solving Statements Involving Age

- Statement sums involving Coins

- Solving Statements For A Two Digit Number


 

Explore Concepts (Click & View)

- Direct Variation

- Inverse Variation

- Time and Work

- Direct Variation With Exponents

- Inverse Variation With Exponents


 

Explore Concepts (Click & View)

- Area of Shaded Region

- Identifying Shapes

- Perimeter of a Figure

- Perimeter of Square

- Perimeter of Rectangle

- Perimeter of Triangle

- Perimeter of Parallelogram

- Circumference of Circle

- Area of Square

- Area of Rectangle

- Area of Triangle

- Area of Circle

- Area of a Parallelogram

- Area of Composite Figure

- Area of Trapezium

- Perimeter of Trapezium

- Area of Rhombus

- Perimeter of Rhombus

- Area of Equilateral Triangle

- Area of Path and Verandah

- Area with Herons Formula

- Arc Length of Sector

- Area of Sector

- Area of Segment of Circle


 

Explore Concepts (Click & View)

- Surface Area of a Cube

- Lateral Surface Area of a Cube

- Total surface area of a cuboid

- Lateral Surface Area of a Cuboid

- Total Surface Area of Cone

- Lateral Surface Area of Cone

- Total Surface Area of Cylinder

- Lateral Surface Area of a Cylinder

- Surface Area of Sphere

- Total Surface Area of Hemisphere

- Lateral Surface Area of Hemisphere

- Volume of a cube

- Volume of a cuboid

- Volume of cylinder

- Volume of Cone

- Volume of Sphere

- Volume of Hemisphere

- Volume of Prism

- Lateral Surface Area of Hollow Cylinder

- Surface Area of Hollow Cylinder

- Surface Area of Spherical Shell

- Volume of Hollow Cylinder

- Volume of Spherical shell


 

Explore Concepts (Click & View)

- Identifying Hypotenuses In A Right Triangle

- Identifying Opposite Side To An Angle

- Identifying Adjacent Side To An Angle

- Trigonometric Ratios

- Reciprocal Trigonometric Ratios

- Trigonometric ratios for 30 degrees

- Simplifying Trigonometric Expressions

- Trigonometric ratios for 60 degrees

- Trigonometric ratios for 45 degrees

- Trigonometric ratios for 90 degrees

- Trigonometric ratios of Complementary Angles

- Trigonometric Identity Involving Sine And Cosine

- Trigonometric Identity Involving Secant And Tangent

- Trigonometric Identity Involving Cosecant And Cotangent

- Trigonometric Identities


 

Explore Concepts (Click & View)

- Polynomial Expression

- Degree of a Term

- Degree of a Polynomial

- Standard Form For a Polynomial

- Multiplication of Polynomials

- Factor And Remainder Theorem

- Relationship of Zeroes With Coefficients of Quadratic Polynomial

- Graphical Representation of A Polynomial

- Forming a Quadratic Polynomial When Zeroes are Given

- Division of Polynomial by another Polynomial Long Division

- Factorization of Cubic Polynomial

- Relationship of Zeros With Coefficients of Cubic Polynomial


 

Explore Concepts (Click & View)

- Line, Line Segment and Ray

- Collinear Points

- Types of Angles

- Complementary Angles

- Supplementary Angles

- Adjacent Angles

- Surfaces and Curves

- Linear Pair

- Vertically Opposite Angles

- Angles on a Straight Line

- Parallel lines and Transversal

- Corresponding Angles

- Alternate Angles

- Interior and Exterior Angles in Parallel Lines

- Co Interior Angles


 

Explore Concepts (Click & View)

- Angle Sum Property of a Triangle

- Exterior Angle Property


 

Explore Concepts (Click & View)

- Diagonals of Square Are Equal and Perpendicular to Each Other.

- Angle Sum Property of Quadrilateral

- Angle Sum Property of Polygons

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

- Properties of Trapezium


 

Explore Concepts (Click & View)

- Chord of a Circle

- Circumference of a Circle

- Radius and Diameter

- Circle and Related Terms

- Arc of a Circle

- Chord and Segment of a Circle


 

Explore Concepts (Click & View)

- Distance Formula

- Section Formula

- Mid Point Formula

- Trisection Points of Line

- Area of Triangle Using Coordinate

- Identification of Collinear Points

- Cartesian Plane

- Location of Coordinates in a Plane

- Points lying on X-axis and Y-axis

- Quadrants in the Cartesian Plane


 

Explore Concepts (Click & View)

- Definition of Probability

- Favourable and Unfavourable Outcomes

- Probability of An Event

- Probability of Event not Happening

- Dice Probability

- Deck of Cards Probability

- Probability Involving Calender

- Probability Coin Experiment

- Spinning of Wheel Probability

- At the Most Probability

- Atleast Probability

- Geomatrical Probability

- And OR Conditions in Probability

- Compound Probability

- Combination of Events

- Repetitive Experiment

- Conditional Probability


 

Explore Concepts (Click & View)

- Fundamental Principle of Multiplication

- Fundamental Principle of Addition

- Factorial

- Linear Permutation

- Permutation Under Certain Conditions

- Permutation of Objects Not All Distinct

- Circular Permutation

- Combinations

- Total Number of Combinations

- Properties of C -n,r

- Mixed Problems


 

Explore Concepts (Click & View)

- Nth Term of AP

- Meaning of Arithmetic Progression

- Sum of First n Terms of AP

- Series of Natural Numbers

- Harmonic Mean

- Nth term of HP

- Meaning of Harmonic Progression

- Sum of First n Terms of GP

- Nth term of GP

- Meaning of Geometric Progression

- General Term Of an AP


 

 

 

 


Students / Parents Reviews [20]