## Concept - Aptitude Simplification Basics-1

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Before enter into concepts need to go through some basics of numerical aptitude.

Aptitude or Numerical Ability / Quantitative Aptitude is very simple and easy, if practice some Rules and Tricks. .... !

### Multiplication by 5:

Tip: Multiplication by 5 : Rule 5 = 10/2

Eg 1 : 12345 x 5 = ?;

First divide number 12345 / 2 = 6172.5 then 6172.5 x 10 = 61725 (decimal number .5 comes rightside last of the number)

if there is no decimal ZERO comes rightside last of the number

Eg 2 : 346 x 5 = ?

First divide number 346 / 2 = 173 then 173 x 10 = 1730 or Add Zero to 173 (1730)

#### Practice following multiplication by 5:

1)42 x 5 = ?

2)12345 x 5 = ?

3)45621 x 5 = ?

4)301215 x 5 = ?

5)98432025 x 5 = ?

Answers: 1) 210 2) 61725 3) 228105 4) 1506075 5) 492160125

### Multiplication by 11:

Tip! : Multiplication by 11 : Rule - Add adjacent numbers from right to left!

Eg.1)for 2 Digit Numbers: 25 x 11 = 275

Solution:First and Last Number should be same i.e. 2 and 5 (Number 7 (2+5) comes between 2 and 5) So 25x11 is 275

Eg.2)for 3 or more Digit Numbers: 243 x 11 = 2673

Solution:First of all first and last number are same i.e. 2 and 3 then add adjacent number 7 (4x3) and 6(2+4) So 243x11=2673

#### Practice following multiplication by 11:

1)6342 x 11 =

2)12345 x 11 =

3)45621 x 11 =

4)453789 x 11 =

5)43207213 x 11

Answers: 1) 69762 2) 135795 3) 501831 4) 4991679 5) 475279343

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