remainder when 1212121212.......(upto 300 digits) is divided by 99?

• Taking 1st 4 digits
  1212/99 and the remainder is 24
  
  now 12121212/99 = remainder 48 = 2*24
  
  so for 300/4 digits = remainder = 75*24 =1800/99=18
  so, 18 is the answer
• 10 years agoHelpfull: Yes(31) No(1)
• 121212.......... 300
  means 12 is repeating 150 times
  12*150 is 1800
  while dividing by 99 we get 18
• 10 years agoHelpfull: Yes(12) No(0)
• The we first start from the right hand side of the number taking two digits at a time and find their sum.
  
  So, we get: 67 + 45 + 23 + 01 = 136.
  
  Now, when 136 is divided by 99, the remainder is 37.
  
  So, the remainder when 1234567 is divided by 99, the remainder is 37.
  
  We use the similar method for finding the remainder when the number 121212......300 times is divided by 99.
  
  Note that if we take two digits at a time, starting from the right hand side, then everytime we will get the number 12 and since the given number is a 300 digit number, 12 will be added 150 times and so the sum obtained will be (12) * (150) = 1800 and this number, when divided by 99, the remainder will be 18, which is the required remainder.
  
  Hence, when the number 1212121212 ............. 121212 (300 times) is divided by 99, the remainder is 18.
  
  
• 10 years agoHelpfull: Yes(3) No(0)
• 12/99 remainder is 12
  upto 300 digits so 12 is 150
  12*150 = 1800/99 =remainder is 18
• 10 years agoHelpfull: Yes(3) No(0)
• Ans- 14
  
  12121212...................212 (up to 300th digit)
  
  212/99 gives reminder 14
  
• 10 years agoHelpfull: Yes(0) No(2)
• Answer is 23..
  
  Remainders from 3rd digit onwards will be 22, 23, 32, 23, 32, 23 and so on.. thereby ending at 23 on 300th Digit..
• 6 years agoHelpfull: Yes(0) No(0)