Majics of Numbers

Majics of Numbers

*) The Majic Number : 12345679

     I) Multiply it by 5:

         12345679 * 5 = 61728395

     II) Now multiply the product by 9:

          61728395 * 9 = 555555555

    Similarly multiply 12345679 by any single digit number will give the result of nine times that single digit multiplier.

e.g. if 6 is multiplier then result will            be  666666666

        If 8 is multiplier then 888888888

        So on....

        If you don't believe try it at                    home.

*) The Unchanging Number :

     Write down a 3 digit number say            536 two times

     Write down : 536536

     Divide this by 7, 11 and 13                       successively

      536536/7  = 76648

      76648/11  =   6968

      6968/13    =     536

      [Note :- 7*11*13 = 1001]

      1001 * 536 = 536536

3) The Emergency Number :-

1. 999 * 1 = 0999
2. 999 * 2 = 1998
3. 999 * 3 = 2997
4. 999 * 4 = 3996
5. 999 * 5 = 4995
6. 999 * 6 = 5994
7. 999 * 7 = 6993
8. 999 * 8 = 7992
9. 999 * 9 = 8991

4) The Number 1089 : 

     Choose a 3 digit number in which         hundred's digit is greater than the      one's digit. Hundred's place value         > One's place value.

      e.g. I choosed 635 where 

     (6 Hundreds 3 Tens 5 Ones)  

   Now Reverse the positions of starting and ending digits of 536

        635

(-)    536

        ——

         099

(Reverse the digits of 099) = 990

       099

(+)   990 

         ——

        1089

 5) To find the Sum of Consecutive Odd        numbers :
      e.g. from 9 to 21
      Sum = 9+11+13+15+17+19+21 = 105
   
      9 is the fifth odd number and 21 is          the eleventh Odd number. 
   
      The Sum of the 1st 4 odd numbers          is  4 * 4 = 16  (1+3+5+7 = 16)

      The Sum of the 1st eleven odd                  numbers is 11 * 11 = 121

      =>   121 - 16 = 105

      Thus, the sum of 9 + 11 + 13 + 15 +             17 + 19 + 21 = 105