what is the remainder when 1212121...(300 times)is divided by99?

• 12/99 gives rem=12
  1212/99 rem=12*2
  121212/99 rem=12*3
  similarly
  12...(8 times 12)/99 rem=12*8
  12...(9 times 12)/99 rem=(12*9)/99=9
  12...(10 times 12)/99 rem=(12*10)/99=21
  ...................
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  1212121...(300 times)=12...(150 times) gives remainder =(12*150)/99
  or 1800/99 gives a remainder 18
  ANS 18
• 11 years agoHelpfull: Yes(41) No(3)
• The concept of 99 is similar to 9, for 9, add all the digits and then divide by 9.
  789 divided by 9 gives a remainder of 7+8+9 = 24= 2+4=6
  
  For 99, we ahve to take two digits at a time instead of one digit, which is the case with 9. For 999, it will be three digits at a time.
  
  So, for example if the number is 1212 the remainder is 12+12 = 24
  
  Now in the given number 12 is there for 300 times that is 12+12+ 12..... 300 times, the value is 3600 = 36+00 = 36
  
  The remainder is 36.
• 11 years agoHelpfull: Yes(7) No(4)
• Ans.0
  121212121....300 times=(121)...100 times..
  Now 99=9*11.
  121/11=11
  After dividing (121)...100 times with 11 it leaves 1111111.... and remainder 0.
  Now 111111111 is divided by 9 and it leaves remainder 0...
  So 1212121....(300 times) is compltly divided by 99..
  ans.0.
• 11 years agoHelpfull: Yes(5) No(9)
• Ans.2
  121212121....300 times=(121)...100 times..
  Now 99=9*11.
  121/11=11
  After dividing (121)...100 times with 11 it leaves 1111111.... and remainder 0.
  From here we will get (11)...100 times..or 1111..200times..
  Now 111111111 is divided by 9 and it leaves remainder 0..That is 11...9 times.
  So by 9 it will be divided 11...upto 198 times..
  So for last 11 it will leaves remainder 2..
  ans.2.
• 11 years agoHelpfull: Yes(3) No(6)
• 72 ans.
  
  
  
  
• 11 years agoHelpfull: Yes(1) No(1)
• 38 bahut mushkil h bhai par kr diya
• 11 years agoHelpfull: Yes(1) No(2)
• 1212121/99=12243 and remainder is 63.
  63*300=18900
  18900/99= 19 and remainder is 90
  
• 11 years agoHelpfull: Yes(1) No(0)
• We can write 99 as 3*11*3
  Now first devide by 3 we get 444444.....300 times.now we devide by 11 we get 44444...150 times.now again we devide by 3 then we see
  For 444 remainder is 0 so for 150 terms of 4 remainder will= 0 ans.
• 10 years agoHelpfull: Yes(0) No(0)
• divisibility rule of 99 is same as 9
  so add all digits i.e., (1+2)*300=900
  hence on dividing above number with 99 give remainder as 1
• 9 years agoHelpfull: Yes(0) No(0)
• 12121212.......300 times
  (1+1+1+1+.......300times)+(2+2+2+2+......300times)
  =300+2 (300)=900/99=9ans
• 6 years agoHelpfull: Yes(0) No(1)