Quant Ready Recokner-The ultimate formula booklet

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1. Types of numbers

2. Theorems of Numbers

3. Algebraic formulas

4. Surds and irrational numbers

5. Divisibility Rules

6. HCF & LCM

 Natural Numbers: 

• Counting numbers are known as natural numbers. 1, 2, 3, 4, 5,…., etc., are all natural numbers.

 Whole Numbers: 

• All natural numbers together with 0 form the set of all whole numbers. Clearly, every natural number is a whole number. And, 0 is the only whole number that is not a natural number.

 Integers: 

• All natural numbers, 0 and negatives of natural numbers form the set of all integers.

so, …., –4, –3, –2, –1, 0, 1, 2, 3, 4, …. etc., are all integers.

Theory of Numbers:

(1)                 Every number is of one of the forms, 5n, 5n ± 1, 5n ± 2.

(2)                 Every square number is of one of the forms 5n, 5n ± 1.

(3)                 The square of every odd number is of the form 8n + 1.

(4)                   Sum on 'n' consucutive number is always divisible by 'n' if 'n'  is odd and sum of 'n'  consecutive numbers is                                   never divisible by 'n' if 'n' is even.