QUANTITATIVE APTITUDE

                               BASIC OF NUMBER

                                 
There are few shortcut.
1)MULTIPLICATION 
     12                                             123
   *23                                           *231
______                                     _________
  276                                           28413

explanation

2*3=6                                           3*1=3

3*1+2*2=7                                 3*3+2*1=11(In hand 1)
2*1=2                                        1*1+3*2+2*3=13 &13+1=14(in hand4)
                                                  3*1+2*2=7 &7+1=8
                                                 2*1=2
2) ADDITION
                        Instead of adding one by one add two digit numbers.
2345+2349+7665+9767+6786+7896=36808

explanation 
96+86+67+65+49+45=408(write 08 &4 keep)
23+23+76+97+67+78=364 &364+4=368)

EVEN NUMBER:-
                              Any number that are divisible by 2 of factor of 2 is known as even number.
 eg.-2,4,10,6,8 etc.
ODD NUMBER:-
                             Any number that are not divisible by 2 are known as odd number.
eg.-1,3,5 etc.
PRIME NUMBER:-
                             Any number that are divisible by 1 or itself is known as prime number.
eg.-2,3,5,7,11 etc
There are only even prime number that are 2.
If prime number are greater than 3 then you can write in the form (6K+1 OR 6K-1), where K=1,2,3.........n.
CO PRIME NUMBER:-
                                If HCF of any two number is 1 ,then they are know as co prime number.
eg.-(5,7) ,(3.2)
HCF are only 1, so this both number is a co prime number.
COMPOSITE NUMBER:-
                                Any number that have more than one factor are known as composite number.
eg.- (16,18)

RATIONAL NUMBER:-
                                      Any number that are in P/Q form and where Q is not equal to 0.
eg.-5/6,6/9 etc.
IRRATIONAL NUMBER:-
                                       All the number between two whole number.
 eg.-1.32,4.54 etc.

DIVISIBILITY RULE OF NUMBER
1)DIVISIBLE BY 2 ,4, 8:-
                                   If any number that have even number at last digit then that number will divisible by 2.like that for 4 we will see last two digit and for 8 we will see last three digit.
eg.- 1912,19724,135246 etc
2)DIVISIBLE BY 3,9:-
                                  By adding the given number if we are getting the factor of 3 then that number will divisible by 3 and 9 too.
eg.-1233,963 etc
3) DIVISIBLE BY 5:-
                                 If last digit of any number is either 5 or 0 then that number is divisible by 5.
eg.- 1785, 127920 etc
4)DIVISIBLE BY 6:-
                                If the given number are divisible by 2 and 3 that are factor of 6 then that number will be divisible by 6.
eg.- 54,36 etc
5)DIVISIBLE BY 7:-

                             























































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