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 :-
- 999 * 1 = 0999
- 999 * 2 = 1998
- 999 * 3 = 2997
- 999 * 4 = 3996
- 999 * 5 = 4995
- 999 * 6 = 5994
- 999 * 7 = 6993
- 999 * 8 = 7992
- 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
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
