what is the remainder when 123456789..........44 is divided by 45?

• 123456789..........44/45
  123456789..........44/(5*9)
  sum of termss in given no. is =44*(44+1)/2=22*45,which is divisible by 9
  so 123456789..........44 is divisible by 9
  hence we will have 6 in the unit place after we divide 1234567....44 by 9.
  now only 5 is left in the dinominator i.e. .......6/5
  hence the remainder when divided by 5 is 1
  
• 10 years agoHelpfull: Yes(24) No(7)
• sorry for the last answer 123456789..........44/45
  123456789..........44/(5*9)
  sum of termss in given no. is =44*(44+1)/2=22*45,which is divisible by 9
  so 123456789..........44 is divisible by 9
  since 123456789..........44 is divisible by 9,there must be 6 at unit place of quoitient(there is 4 at the unit place of number,since it is divisible by 9 so last two term should be 54 as table of 9 =9,18,27,36,45,54,63,72,81,90)
  last term of the quotient is 6
  now it is divided by 5
  so remainder will be 1
  
• 10 years agoHelpfull: Yes(20) No(4)
• 123456789..........44/45
  123456789..........44/(5*9)
  sum of termss in given no. is =44*(44+1)/2=22*45,which is divisible by 9
  so 123456789..........44 is divisible by 9
  123456789..........44/5 gives remainder 4
  so 123456789..........44/5*9 will give a remainder 4*9=36
  so 36 is the ANS
• 10 years agoHelpfull: Yes(15) No(20)
• 9 is the ansr
  
• 10 years agoHelpfull: Yes(10) No(1)
• 0 is d r8 ans
• 10 years agoHelpfull: Yes(7) No(2)
• 0 is d r8 ans
• 10 years agoHelpfull: Yes(2) No(2)
• ans is 9.find the sum of all digit using n(n+1)/2 where n=44 which can be divided by 9 as the 9 is factor of 45 gives rem =1 so 1*9=9
• 10 years agoHelpfull: Yes(2) No(0)
• 9 is the answer
• 10 years agoHelpfull: Yes(2) No(0)
• Ans must be 9...because as we divide dis no by 9 and get the unit digit 6.then we find out the remainder 1..so we hav to multiply 9 with it..answer should be 9..
• 10 years agoHelpfull: Yes(2) No(0)
• @rakesh isnt the term 22*45 directly divisible by 45 resulting in NO remainder??
  
• 10 years agoHelpfull: Yes(1) No(1)
• @sami : can u xplain dis part??
  hence we will have 6 in the unit place after we divide 1234567....44 by 9.
  now only 5 is left in the dinominator i.e. .......6/5
  hence the remainder when divided by 5 is 1
• 10 years agoHelpfull: Yes(1) No(0)
• 123456789..........44/45
  123456789..........44/(5*9)
  sum of termss in given no. is =44*(44+1)/2=22*45,which is divisible by 9
  so 123456789..........44 is divisible by 9
  hence we will have 6 in the unit place after we divide 1234567....44 by 9.
  now only 5 is left in the dinominator i.e. .......6/5
  hence the remainder when divided by 5 is 1
  but we have to get the remainder when we divide the no by 45 hence multiply the remainder obtained above by 9 again so remainder is 9*1 =9
  #remember sum of digits taken as 1+2+3+....41+42+43+44 will yield the same divisibility test for 9 as 1+2+3+4+....4+1+4+2+4+3+4+4 :)
• 10 years agoHelpfull: Yes(1) No(1)
• what r u doing guys
  it is sum of digits not sum of nos so u cant use n(n+1)/2
  sum of digits is 45*4+1*10+2*10+3*10+4*4+(1+2+3+4)=260=2+6=8 is remainder not divided by 9
  
• 10 years agoHelpfull: Yes(1) No(0)
• 19, last number is 44 which can't be divided by 45. Therefore,the previous number i.e., 43 has to be taken into consideration. Since, 44 is a two digit number, we need to take 3 of 43, therefore the number becomes 344. Now u get 344/45 and the remainder is 29
• 10 years agoHelpfull: Yes(0) No(6)
• The ans is= 0
  as the no has contan (12.......45.......44)/45=0
• 10 years agoHelpfull: Yes(0) No(2)
• Given number contains the 9 and 5 so the divisor 45 is fully divisible by given number.
  Thus remainder will be zero.
• 10 years agoHelpfull: Yes(0) No(2)
• the remainder will be 4..
  see, 45=3*3*5 (the highest factr is 5)
  so we must chck the number divisible by 5 or not,, as the whole number ends will 44 ,,so its 4 remaining...
• 10 years agoHelpfull: Yes(0) No(1)
• The number is divisible by 9 as sum of the numbers are divisible by 9...then if we subtract 9(.i.e the lowest multiple of 9 that should be subtracted )to get last digit as 35 which means the no is divisible by 5..so ans 9
• 10 years agoHelpfull: Yes(0) No(0)