find remainder when 7777.777...(upto 101 digits) is divided by 440

• Answer is 29777........(7 digit up to 102 digits)
  7777777.......upto 105 digits = 17*4400000000....(up to 104 digits)
  + 29777..........(up to 104 digits)
• 10 years agoHelpfull: Yes(2) No(1)
• ans is 337.
  77777,77777.....(upto 101 digits can be written as below)
  ==>700000...(zeros up to 101)+7000...(0 s upto 100)+700....(0 s upto 99)..+700+77+7
  for every number such that start with 7 and have three or more zeros remainder will be 400 when divide by 440, for example
  7000000%440=400,7000%440=400,70000%440=400,ans so on
  so reaminder will be (99*400+777)%440=40377
  ===>40377%440=337
• 10 years agoHelpfull: Yes(2) No(2)