SQUARING OF NUMBERS ENDING WITH 5

(105)²=11025

STEPS
1) SQUARE THE LAST DIGIT
    ie.5²= 25

2) THIS IS THE LAST PART OF THE
 SOLUTION.

3)MULTIPLY THE NUMBER FORMED BY
   LAST TWO DIGIT WITH ITS NEXT
   NUMBER.
 
HERE IN THIS EXAMPLE
   NUMBER FORMED BY LAST TWO DIGIT =10
   ;ITS NEXT NUMBER IS 11
   THUS 10×11=110
    FINAL ANSWER IS 11025
 
 

DO 9999999×123456 IN SECONDS

        9999999
  ×      123456
_________________
1234559876544


IN SUPPLEMENT TO PREVIOUS POST
WHERE SEVEN TIMES 9 IS MULTIPLIED
BY 7 DIGIT ANY NUMBER.HERE WE ARE
MULTIPLYING 7 TIMES 9 WITH 6DIGIT ANY
NUMBER.
STEPS
1) WRITE 5 DIGIT OF THE 6DIGIT NUMBER AS
    IT IS LIKE 12345 IN THIS EXAMPLE.
2) SUBTRACT 1 FROM 6
    ie 6-1=5
    PUT 5 ALONG WITH 5 NUMBERS
    THUS FIRST PART OF ANSWER IS
    123455
3)NOW SUBTRACT EACH NUMBER
    OF FIRST PART FROM 9 .
    SEVENTH DIGIT  WILL BE
    9.
Explanation
  Write first part of answer as 123455
 Then put 9; thus first part of answer
becomes 1234559
 Then subtract each digit from 9 as
 9-1=8
 9-2=7
 9-3=6
 9-4=5
 9-5=4
 9-5=4

 SECOND PART OF ANSWER = 876544

4) THUS OUR ANSWER IS
     1234559876544


 

DO THE 7×7 MULTIPLICATION IN SECONDS (MAGICAL TRICK OF 9 )

      9 9 9 9 9 9 9
  ×  2 3 4 5 6 7 8
__________________
23456777654322

STEPS
1) SUBTRACT 1 FROM UNITS PLACE NUMBER
     HERE 8
     8-1=7
2) REPEAT THE SAME NUMBER EXCEPT LAST
    DIGIT;PUT 7 INSTEAD OF 8.
3) WE HAVE STARTING PART OF ANSWER
    ie. 2345677.
4) NOW SUBTRACT 1 FROM EACH NUMBER
    STARTING FROM 2
     eg 9-2 =7
           9-3=6
           9-4=5
           9-5=4
           9-6=3
           9-7=2
           9-7=2
5) NOW WE ARE READY WITH SECOND PART OF ANSWER
    ie.7654322
6) FINAL ANSWER
   23456777654322