Consider a number as follows.....

12345678910111213141516......37383940. This is nothing but numbers from 1 to 40
are written side by side to form a single number.
Now what is the remainder when the number given above is divided by 36.

• 24
  
  In number
  12345678910111213141516......37383940. This is nothing but numbers from 1 to 40
  are written side by side to form a single number.
  
  number is divisible by 4 as last 2 digits are 40.
  
  sum of digits = 45*4 +1+2+3=186
  
  For number to be divisible by 36, sum of digits should be divisible by 9 and last 2 digits should be divisible by 4.
  To meet these conditions,
  divisible number will be 24 less than
  12345678910111213141516......37383940. so that last 40 is replaced by 16
  and hence sum of digit becomes 189 and last 16 is divisible by 4 also.
  
  so 24 will be remainder when 12345678910111213141516......37383940 is divided by 36.
• 11 years agoHelpfull: Yes(2) No(2)
• sum of digits is not 186
  
  sum of digits = (45*4) + (1+ 2 + 3)*10 + 4 = 244
  
  244 / 9 => 1 is the remainder
• 11 years agoHelpfull: Yes(2) No(0)
• 6 will be the remainder
  
  The nearest number to 123456....383940 which is divisible by 36 is
  123456.....3637383934
  Here 40 is replaced by 34
  sum of all numbers = 189
  
  => remainder = (123456...37383940) - (123456...37383934) = 6
• 11 years agoHelpfull: Yes(0) No(1)