• 2021-02-04
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All topics of Quantitative Aptitude of Arithmatic and Advance Mathematics for competitive examination

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Arithmetic: Percentage, Ratio and Proportion, Square roots, Average, Problems on Age, Time Speed and Distance, Boat and Streams, Time and Work, Pipe and Cistern, Partnership, Mixture and Alligation, Simple Interest and Compound Interest, Profit and Loss, Discount, Inequality, Permutation and Combination, Probability.

Advance Maths: Number System, Power Surds and Indices, Geometry, Trigonometry, Height and Distances, Algebra, 2D mensuration, 3D mensuration, Coordinate Geometry


What will you learn?
  • This course will form a strong base for every topic.
  • All previous year competitive problems are covered.
  • This course will enable students to crack every problem from basic to advance in the examination.
What knowledge and tools are required?
  • Basic knowledge of 10th standard mathematics
  • BANK JOBS Education Qualification For IBPS PO – Under IBPS PO Recruitment Eligibility Criteria 2016 Candidates must have completed their Graduation Degree from any recognized university or institution. IBPS Clerk Education qualification: Candidates must have a degree (graduation level) pass or equivalent qualification recognized by the central/state government. SBI PO Qualification: Aspirants are required to pass out with a Graduate degree from approved institute. Note: distance Study is not applicable for SBI PO. SBI Clerk Education qualification: Candidates must have a degree (graduation level) pass or equivalent qualification recognized by the central/state government.
  • SSC JOBS SSC CGL(Graduate Level Examination)- The eligibility for this examination is graduation or equivalent in any other discipline. SSC 10(Combined Matric Level Examination)- The eligibility for this examination is matriculation. SSC 10+2(Combined Higher Secondary Level Examination)- The eligibility for this examination is 12th class or equivalent in any other discipline. SSC JE EXAM:-Diploma in Civil or Electrical or Mechanical Engineering from an institution recognized by the Central Government or equivalent qualification. Thanks
  • Eligibility Criteria for Group A, Group B, Group C, and Group D Railway Jobs GROUP A: One can apply for group A posts if one has a bachelor’s degree in engineering (Master of Science), medical (MBBS) or any other relevant stream. For SCRA, the eligibility is HSC with PCM or equivalent. Age limit: 32 years (relaxation for OBC/SC/ST candidates) GROUP B: One cannot apply for the group B posts, there is no exam for group B because the group B officials are promoted from the group C cadre by the railway. When there has been a specific time for which the employee has been serving the railway in group C then he is promoted to group B. GROUP C: For group C, the eligibility is 10th or equivalent for the ALP or technician, 10+2 or equivalent for ticket collector and graduation or equivalent for goods guard or Assistant Station Master. The eligibility of age varies from 30-33 years depending upon the social status of the person. GROUP D: For group D, the staff consists of porters, gatemen, trackmen, etc. Group D railway job vacancies are advertised on the website of RRB and all the main national newspapers.
Who should take this course?
  • It will help the students who are aspiring for CAT, BANKING EXAMINATIONS, SSC - CGL/CPO/CHSL/MTS.
  • This course is for all students who are preparing for competitive examinations.
  • Students who are preparing for Railway and state exams then this course will help them a lot to score well in the Quant section.
Lecture 1 :- Introduction

Basic conversion of Percantage to fraction and fraction to percentage.Problems based on it.

  • Topics

  1. 1. Introduction of percentage
  2. Conversion of percentage values to fraction and fraction to percentage, problems based on them, breaking of percentage into simpler forms

  3. 2. Problems on percentage
  4. Discuss problems on percentage values

  5. 3. Application of percentage in advance problems
  6. we will learn to apply percentage in other lessons

  7. 4. Previous year problems
  8. previous year problems asked in various competitive examinations like SSC, BANKING, RAILWAY,CAT, other exams

Lecture 2 :- Number System - Introduction

Basic knowledge of Numbers, Integers, Real numbers, Imaginary numbers, Rational and Irrational numbers and problems based on them

  • Topics

  1. 1. Problems on basic Number System
  2. problems asked from Basic Number Sytem

  3. 2. Remainder Theorem
  4. we will learn how to find remainder easily and problems asked on them in examinations

  5. 3. Divisibility Rule
  6. here we learn the divisibility of different numbers e.g. 3,4,5,6,7,8,9,11,12,13,etc

  7. 4. Classification of Number System
  8. learn different classification under number system

  9. 5. Unit Digit
  10. we will learn to find unit digit and problems asked on it.

  11. 6. Factors and Number of Factors
  12. learn how to find number of factors, sum of factors, even factors, sum of even factors, odd factors, sum of odd factors

  13. 7. Arithmatic Progression
  14. we will know the formula of Arithmatic Progression and application of it

  15. 8. LCM and HCF -1
  16. we will know how to find a LCM of two or more than numbers and problems on them

  17. 9. LCM and HCF - 2
  18. we will learn to find HCF of two or more than two numbers and application of it in other chapters.

  19. 10. Previous Year Questions
  20. we will solve previous year questions asked on Number System

Lecture 3 :- Ratio and Proportion

learn to take ratio and how to use ratio method as it is the most efficient trick to solve other topics questions

  • Topics

  1. 1. Introduction of Ratio
  2. learn to take ratio

  3. 2. Basic Problems on Ratio
  4. We will solve prelims level ratio problems

  5. 3. Advance Problems on Ratio
  6. Problems asked in examinations and MAINS level problems

  7. 4. Basic Knowledge of Proportion
  8. basic problems on proportion, third proportion, fourth proportion, mean proportion

Lecture 4 :- Geometry

Triangle, Quadrilaterals, Circle and problems asked on them

  • Topics

  1. 1. Basics of Geometry
  2. we will learn the basics of different figures of geometry

  3. 2. Triangles
  4. Basic concepts about triangle, Properties of triangle, sine rule, cosine rule, centroid, median, Circumcentre, Incentre, Orthocentre, Exacentre, Bisector Angle Theorem ( Internal and External ), Types of triangle and their concepts. Probles asked on triangle in examination. Triangle and its various kinds of centres, Congruence and similarity of triangles

  5. 3. Quadrilaterals
  6. Parallelogram, Square, Rectangle, Rhomus, Trapezium and their properties of each figure.Problems asked on quadrilaterals

  7. 4. Polygons
  8. we will learn different polygons , their formula and problems

  9. 5. Circle
  10. Circle and its chords, tangents, angles subtended by chords of a circle, common tangents to two or more circles

  11. 6. Miscellaneous ( Covering Mensuration )
  12. Right Circular Cone, Sphere,Cylinder,Right Circular Cylinder,Regular Right Pyramid with Triangular base or Square base,Rectangular Parallelepiped

Lecture 5 :- Profit and Loss

learn to find profit and loss percentage , discount , cost price and selling price using the ration method

  • Topics

  1. 1. Basics of Profit and loss
  2. how to find profit and loss, discount, basic problems on them

  3. 2. Advance problems on profit and loss
  4. Prelims and Mains level problems

  5. 3. Previously asked questions
  6. All problems which has been asked in different examination like SSC,BANKING Exams, Railway, CAT, etc

  7. 4. Discount
  8. problems on discount

Lecture 6 :- Simple Interest and Compound Interest

We will learn to tackle different problems varying from from basic to high level

  • Topics

  1. 1. Simple Interest
  2. Basic Concept of Simple Interest

  3. 2. Problems on Simple Interest
  4. Simple Interest Problems for 2 years, 3 years

  5. 3. Miscellaneous Problems
  6. we will practice variety of problems on simple interest

  7. 4. Compound Interest
  8. Basic concepts of compound interest

  9. 5. Compound Interest problems
  10. Problems on compound interest for 2 years , 3 years and 4 years using ratio method

  11. 6. Problems on difference of CI and SI
  12. problems on 2 years, 3 years and 4 years compound and simple interest difference

  13. 7. Miscellaneous Problems on SI and CI
  14. mix problems of Simple interest and Compound Interest and previous year questions

Lecture 7 :- Average

learn to find average

  • Topics

  1. 1. Basics Concepts of average
  2. basic concept and problems on it

  3. 2. Problems on Average
  4. we will solve different problems on average

  5. 3. Problems on Age
  6. using ratio method we will solve different problems on ages

Lecture 8 :- Mixture and Alligation

derivation of mixture alligation concept from average as it is nothing more than the extension of average chapter , problems on it , application of mixture alligation in different topic

  • Topics

  1. 1. Basic concepts of mixture alligation
  2. we will learn to use mixture alligation and some basic problems on it

  3. 2. Application of mixture alligation
  4. learn to apply mixture alligation concept in different chapters like profit and loss, simple interest and compound interest, time speed and distance, time and work , etc

  5. 3. Previous year problems
  6. we will solve previous problems in this topic

Lecture 9 :- Time and Work

basic concepts like per day approach, LCM method , percentage , and problems on them

  • Topics

  1. 1. Basic concepts
  2. prelims level problems direct on the basic concepts which we learn here in this topic

  3. 2. Problems on time and work
  4. we will solve variety of problems of time and work using LCM method

  5. 3. Work equivalence and problems on daily wages
  6. problems using work equivalence and problems on day wages using previous concept and ratio method

  7. 4. Pipe and Cistern
  8. pipe and cistern problems use same concepts as time and work problems with negative work , we will understand the negative efficiency and will solve problems on it

  9. 5. Miscellaneous (time and work, pipe and cistern)
  10. we will solve all sorts of problems on time and work concepts and previously asked questions

Lecture 10 :- Time, Speed and Distance

Basic concepts like distance constant, time constant,problems on time speed and distance, trains, boat and streams, and previously asked questions

  • Topics

  1. 1. Basic concept of distance constant
  2. problems on distance constant using ratio method

  3. 2. Time Constant concept
  4. problems on time constant concepts

  5. 3. Miscellaneous problems of time speed and distance
  6. solve different problems , problems on overall time journey , time difference of overall journey , previously asked problems

  7. 4. Problems on train
  8. using ratio method and time speed and distance concept we will solve train problems

  9. 5. Boat and Streams
  10. basic concepts,we will learn about downstream and upstream speeds , problems on distance constant of boat and streams using ratio method

Lecture 11 :- Permuation and Combination

  • Topics

  1. 1. Permuation
  2. Concept with Basic problems and problems asked on examination

  3. 2. Combination
  4. Concept with Basic problems and problems asked on examination

Lecture 12 :- Probability

  • Topics

  1. 1. Concept of Probability
  2. Concept with basic problems

  3. 2. Problems
  4. Problems on dice, cards, coin, balls , etc will be discussed

Lecture 13 :- Trigonometry

Basic concepts and problems on them

  • Topics

  1. 1. Degree and Radian Measures and Complementary Angles
  2. Degree and Radian Measures, Complementary Angles

  3. 2. Trigonometric ratios and Identites
  4. Trigonometric ratios and all three basic Identities and problems on them.

  5. 3. Formula based trigonometry
  6. we will discuss all formulae under trigonometry and previously asked problems on them

  7. 4. Maxima and Minima
  8. we will how to calculate maximum and minimum values trigonometric expressions

  9. 5. Miscellaneous problems of Trigonometry
  10. 6. Height and Distance
Lecture 14 :- Algebra

  • Topics

  1. 1. Basic algebraic identities of School Algebra & Elementary surds
  2. 2. Problems on concepts
  3. there are many concepts in algebra, so we will discuss numerous problems on them

  4. 3. Graphs of Linear Equations
  5. 4. Miscellaneous
Lecture 15 :- Data Interpretation

  • Topics

  1. 1. Frequency Polygon
  2. 2. Histogram
  3. 3. Pie-Chart
  4. 4. Bar Diagram
  5. 5. Problems on Caselet DI
Lecture 16 :- Mensuration

  • Topics

  1. 1. Two-dimensional (2D) Mensuration
  2. 2. Three-dimensional (3D) Mensuration
Lecture 17 :- Square roots

  • Topics

  1. 1. Square roots and cube roots
Lecture 18 :- Simplification

  • Topics

  1. 1. Percentage based and fraction based
Lecture 19 :- Quadratic Equations

  • Topics

  1. 1. Previous Year Problems
Lecture 20 :- Number Series

  • Topics

  1. 1. Patterns and problems
  2. 2. Previous Year Questions
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Instructor Profile

Ashish Singh

Quantitative Aptitude Faculty

Skills: Teaching Quant effective with my own conceptsAdaptabilityTechnologyPatiencePassionSelf-ImprovementOrganization

I completed my graduation from Mechanical Engineering and switched my career to teaching. I have been teaching Quantitative Aptitude since 2015. Through the years, I produced many rankers and worked as a Quantitative Aptitude faculty for institutes like TIME, Mahendra's Education, and Pvt. Ltd. Laxminagar Delhi, presently teaching at Career Power Mukherjeenagar Delhi.


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