what is the remainder 121212......(300 digit) is divided by 99?

• 12%99=12
  1212%99=24
  121212%99=36
  so using this series we get:
  1212...300 times%99=12*300/2=1800
  1800%99=18
  18ANS
• 10 years agoHelpfull: Yes(39) No(9)
• 12%99=12
  1212%99=24(12*2)
  121212%99=36(12*3)
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  12....300 times%99=12*150
  therefore (12*150)%99=18
  Ans:- 18
• 10 years agoHelpfull: Yes(14) No(5)
• when 12 is divided dy 99,remainder is 12 so pairs of 12 are 150 in 121212......(300 digit)so calculate 150%99 = 1.5, 12 multiplied with 1.5 gives 18.
  
• 10 years agoHelpfull: Yes(13) No(9)
• The correct answer is 18.
  
• 10 years agoHelpfull: Yes(7) No(5)
• we have to check for 9*11
  the given number is divisbl by 9 as the sum is divisible by 9.
  for 11 it the difference of the (sum of the even place - the sum of odd place) shud be equal to 0 or divisible by 11. but it gives a remainder 7 so the remainder will be 7
• 10 years agoHelpfull: Yes(5) No(3)
• 12%99*150%99=====>18
• 10 years agoHelpfull: Yes(4) No(2)
• (12*150)/99 so the correct ans is 36
  
• 10 years agoHelpfull: Yes(4) No(5)
• 121/99===> remainder = 22 now 12121212121....300 = (121)(121)...100
  so, (22*100)/99 ====> rem 22
• 10 years agoHelpfull: Yes(3) No(10)
• I think question is about remainder..not quotient
  so ans will be 2..
  
• 10 years agoHelpfull: Yes(3) No(0)
• 12(10^0+10^2+............+10^298)
  12((10^2)^0+(10^2)^1+.........+(10^2)^149)
  100%99=1
  SO, 12(1+1+1+..........+149 TIMES)
  12*149mod99
  4*149 mod 33
  4*17 mod 33
  68mod33
  =2
  ans
• 10 years agoHelpfull: Yes(2) No(2)
• sorry there was a mistake in my solution
  we have to check for 9*11
  the given number is divisbl by 9 as the sum is divisible by 9.
  for 11 it the difference of the (sum of the even place - the sum of odd place) shud be equal to 0 or divisible by 11. but it gives a remainder 7
  so 18 will be its answer as 18 is completely divided by 9 and it gives 7 as remainder as well when divided by 11..
• 10 years agoHelpfull: Yes(2) No(2)
• 1212%99 =24,
  12121212%99=48=24*2
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  1212....300= 75*24%99=18 Ans.
• 10 years agoHelpfull: Yes(1) No(1)
• 121%99=22
  121121%99=22*2
  as we taken three terms bcoz given 300(3 digit)
  so taken 121 then 121121....
  upto 121121.....upto 300term=(22*100)%99=22 so ans is 22
• 10 years agoHelpfull: Yes(1) No(2)
• soory we need to consider 121212 /99 it leaves a remainder 36
  so 36*50/99 leaves a remainder 18
• 10 years agoHelpfull: Yes(0) No(4)
• 18 is the ans
• 10 years agoHelpfull: Yes(0) No(4)