121212....upto 300 digits is divided by 90 .what is the remainder?

• sum of digits of 121212....upto 300 digits=3*150
  so 121212....upto 300 digits is divisible by 9
  clearly 121212....upto 300 digits/9=13468013468..........13468
  13468013468..........13468/10 gives remainder 8
  121212....upto 300 digits/(9*10) gives remainder 8
  ANS 8
  
• 10 years agoHelpfull: Yes(15) No(2)
• sum of digits of 121212....upto 300 digits=3*150
  so 121212....upto 300 digits is divisible by 9
  clearly 121212....upto 300 digits/9=13468013468..........13468
  13468013468..........13468/10 gives remainder 8
  121212....upto 300 digits/(9*10) will give remainder 8*9=72
  ANS 72
  
• 10 years agoHelpfull: Yes(10) No(5)
• ans will be zero...
  
• 10 years agoHelpfull: Yes(8) No(9)
• 12%90=12
  1212%90=42
  121212%90=72
  12121212%90=12.....
  so happens in cyclicity of 3...so 6 digits=3 cyclicity,300 digits=150 (12) pairs..150%3=0..so 1212....300 digits%90=72
• 10 years agoHelpfull: Yes(8) No(3)
• 121212...(300 digit/9)= 134680134680....
  (7 digit) 1212121/9= quotient= 134680
  calc digit 7*42+6=300
  in the end only 6 digit left 121212/9= quotient= 13468
  thus 13468/10 then remainder =8
• 10 years agoHelpfull: Yes(3) No(1)
• ans is 0
  121212...upto 300 digits =3*150
  it is divisible by 9.
  which gives us 134680134680.......134680/10 gives rem 0
• 10 years agoHelpfull: Yes(1) No(0)
• Saurabh;;
  why r u taking only 2 digits..is there any trick to do so..lets take 3 digits ans will be diff...so plz tell ..which is correct
• 10 years agoHelpfull: Yes(0) No(1)
• sum of all the digits of the series=450
  beacuse there is 150 1's and 1502's
  now 450/90 leaves the remainder 0
• 10 years agoHelpfull: Yes(0) No(2)
• can it be done in any other way
• 10 years agoHelpfull: Yes(0) No(1)
• how can u say?clearly 121212....upto 300 digits/9=13468013468..........13468...
  plz explain
  
• 10 years agoHelpfull: Yes(0) No(0)
• how we check the divisibility of 9 is if the sum of the digit is divisible by 90..
  here 121212.... upto 300 term the sum of the digits is 3(taking 2+1)*(300/2)=450
  now u can see 450 is divisible by 90..so the answer will be 0 as rem
• 10 years agoHelpfull: Yes(0) No(1)