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Number system maths

 Hello student ,

Good morning to all of you .

I hope you are well and healthy 

Today we read 20 most important Number system  question with best short trick .

Let's Start.......💫💫⭐⭐





If you want to read in hindi translate this Page .
Translation baar is given at right top corner .✅✅✅ 

Question:1⭐⭐⭐⭐⭐⭐⭐⭐⭐

Solve this  √3×√27= ?
Answer:
=√3×√27=√81=9


Note: you should  remember that
1. √a×√b = √ab⭐
2.√(-a)×√b= -√ab=√a×√(-b)
3.√(-a) × √(-b)= -√ab 

On this basics solve these type questions 

Question 2.

(√-3)×(√-27) =?

Answer:


Now we solve this question 

=(√-3)×(√-27)= √(-3)×√(-3)×√(-3)×√(-3)= (-9)

Very important question 

Such type answer will be only use (-) sign  


Divisibility rules 

Divisibility by 2:

If the unit digit of a number has the digits 0,2,4,6,8, then that number will be completely divisible by 2. 

Example:

 20,,52,24,56,68, unit digit is 0,2,4,6,8

Then these numbers are always divisible by 2.


Divisibility by 4:

If the last two digit of a number is completely divisible by 4 or last two digit will be( 00 )then this number will be completely divisible by 4.⭐⭐


Example:

64,784, 6500 ,5788179764

784= 84 is completely divisible by 4 then this number is completely divisible by 4.

5788179764: here last two digit is 64 which is completely divisible by 4 ,then this number will be completely divisible by 4.⭐⭐


Divisibility by 8

If the last three digit of a number is completely divisible by 8 or last three digit will be( 000)then this number will be completely divisible by 8.⭐⭐

Example:

064,872,10872,1000

10872:last three digit 872 is completely divisible by 8 then this number will be completely divisible by 8.


Divisibility by 2⋯⋯⋯⋯⋯⋯⋯⋯⋯ only unit digit of a number or last only one (0)

 

Divisibility by 4⋯⋯⋯⋯⋯⋯⋯⋯⋯last two digit of a number or last only two(00)

 

Divisibility by 8⋯⋯⋯⋯⋯⋯⋯⋯⋯ last three digit of a number or only  last three zero  (000)



Divisibility by 3:

If the sum of the digits of a number is completely divisible by 3, then that number will be completely divisible by 3.

Example:

165 ,186,198,12586962 

Check now:

165=1+6+5=12 is completely divisible by 3,then 165 will be completely divisible by 3.

Same as 

12586962 

=1+2+5+8+6+9+6+2=39 ,is completely divisible by 3. Then 

This number will be completely divisible by 3.



Divisibility by 6:

If a number is completely divisible by  both 2 and 3 then this number will be completely divisible by 6.

Example:

654,678978

654, unit digit 4,then will be completely divisible by 2

And 6+5+4=15 is completely divisible by 3,then 654 will be completely divisible by 3.

654 is completely divisible by both 2 and 3.

Then it will be completely divisible by 6.


Divisibility by 9:
If add of digit of a number (digit sum) is completely divisible by 9 then ,this number will be completely divisible by 9.

Example:


6579,52578

Add of digit (digit sum)=27, is completely divisible by 9.then these numbers are completely divisible by 9.⭐⭐



Divisibility by 5.

If unit digit of a number is either 0 or 5 then  this number will be completely divisible by 5.

Example:

535,500,540

 Divisibility by 7:✅ 

a number is completely divisible by 7 when we subtract last digit multiply by 2 from number   if final results is completely divisible by 7 then  this number will  be completely divisible by 7.


Example:


343,2401

343= 34-2×3=34-6=28

Is completely divisible by 7then this number will be completely divisible by 7.


2401=240-2×1=240-2=238=23-2×8=23-16=7 ,is completely divisible by 7 then 2401 is completely divisible by 7.

Content list:

Number system for ssc

Number system for ssc gd

Number system question

Number system for ssc cgl 





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