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Buy the course material on Real Numbers from Maths Academy 99.

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A multi-pronged plethora of multi-pronged explanations on various topics of Real Numbers (Quantitative Mathematics).

 

Remember, if you understand the Number System, you enjoy Mathematics.

 

The 200+ pages material on the most important branch of Mathematics enabling you gain confidence on the topics listed here with more than 350 questions starting from the most basic ones and then levelling upto the classical ones with ‘an-easy-to-comprehend’ kind of solutions.

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The 200+ pages material contains more than 140 pages on explanation elucidated the way as if you are front-bench sitter in some coaching institute. The way the 350+ questions have been solved is something you may have never come across before.

And all this at a very affordable price of Rs. 250 only.

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You can place your demand on email ID “mathsacad99@gmail.com”, narrating your name, city, mobile number and the exam you are taking (if any), and UTR number of NEFT. After receiving the payment through net banking, the PDF version of the material will be sent to you immediately.

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Excerpts from the material are given here.

RealNumbers

Contents of Course Material

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  1. Number System – Understanding of Real Numbers

    1. Paradigm of Numbers

    2. Terminating and Non-Terminating Decimals

    3. Irrational Numbers

    4. To convert a Recurring and Non-Terminating Decimal in a rational number (fraction)

    5. Algebra of Terminating Decimals

    6. Algebra of Non-Terminating Recurring Decimals

    7. Algebra of Non-Terminating Recurring Decimals

  2. Algebra of Numbers

    1. Even and Odd Numbers

    2. Rules for BODMAS

    3. Properties Of Algebra Of Real Numbers

    4. Rules for Divisibility

    5. Algebraic Identities

    6. Absolute Value

  3. Base System of Numbers

    1. Representation of Numbers

    2. What is base system for numbers?

    3. Conversion of numbers from one base system to other base systems

      1. Conversion from Decimal System to any other base system

      2. Conversion from any base system to decimal System of base

      3. Conversion from any base system to other system of base

    4. Conversion of DECIMAL numbers from one base system to other base systems

  4. Indices and Surds

    1. Indices or Powers (or exponent)

    2. Rules of Indices

    3. Square and Square-root

    4. Short-cuts for squares

    5. How to find out square-root?

    6. Cube and Cube-root              

    7. Rationalization of Irrational Numbers and Surds

  5. HCF (Highest Common Factor) and LCM (Least Common Multiple)

    1. Factors and Multiples

    2. How to find out factors?

    3. Number of factors of a composite number

    4. Highest Common Factor (HCF)

    5. Least Common Multiple (LCM)

    6. HCF and LCM of rational numbers

    7. HCF by Euclid’s Algorithm and negative remainders

    8. Special LCM

  6. Prime Numbers

    1. ​Numbers – Prime, Composite and One

    2. Prime Numbers

    3. Properties of Prime Numbers

    4. Identification of prime numbers

    5. Composite Numbers

    6. Unique Factorization Theorem

    7. Co-prime or relative prime numbers

    8. Highest power of a prime number which divides n!

    9. Number of Zeros in a N! where N is a positive integer

  7. Unit’s Digit

  8. Unsolved Exercise without options and solution

  9. Unsolved Exercise with options and solution

Buy the course material on Modular Arithmetic from Maths Academy 99.

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A multi-pronged plethora of multi-pronged explanations on various topics of Modular Arithmetic (Quantitative Mathematics).

 

This section covers the most beautiful branch of questions of Arithmetic where you are taught the way  you can solve following type of questions with complete Ingenuity and ease:

  1. What is the remainder when 2^81 is divided by 5?

  2. What is the remainder when 17^341 is divided by 5?

  3. Find the remainder when 23^15 is divided by 7.

  4. What is the remainder when 3^2017 is divided by 82?

  5. Find the remainder when 5^37 is divided by 63.

  6. What is the remainder when 'n=1! +2! +3! +4! +5! +…+50!' is divided by 10?

  7. What is the remainder when 2^1000 is divided by 13?

  8. What is the remainder when 29^25 is divided by 11?

  9. What is the remainder when 3^91 is divided by 7?

  10. Find the remainder when (33^34)^35 is divided by 14.

  11. The integers 34041 and 32506 when divided by a three-digit integer ‘n’ leave the same remainder. What is ‘n’?

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The 50+ pages material on this very important branch of Mathematics enabling you gain confidence on the topics listed here with more than 50 questions starting from the most basic ones and then levelling upto the classical ones with ‘an-easy-to-comprehend’ kind of solutions.

​

The cost is Rs. 200 only. You can place your demand on email ID “mathsacad99@gmail.com”, narrating your name, city, mobile number and the exam you are taking (if any), and UTR number of NEFT. After receiving the payment through net banking, the PDF version of the material will be sent to you immediately.

​

Excerpts from the material are given here.

ModArith

Contents of Course Material

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  1. Modular Arithmetic (Congruent modulo n)

    1.  Play with remainders

    2. Modular Arithmetic and Congruence

    3. Definition of Congruent Modulo n

    4. Congruence and Number Line

    5. Equivalence Class

    6. Algebra of Modular Arithmetic

    7. Application of congruence relation

  2. Fermat’s Little Theorem

  3. Euler’s Formula and Euler’s Theorem

  4. Exercise

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