Find the remainder when the number 12345678910111213.......178179 is divided by
180

• 180=4*5*9 so
  last 2 digits of the number are 79
  therefore if the number is divided by 5, remainder will be 4
  and when divided by 4 the remainder will be 3
  determine the divisibility by 9 as follows
  the number contains all the numbers starting from 1 to 179
  the sum of its digits will be 179x180/2 = 16110
  and 16110 when divided by 9 leaves 0 as remainder , therefore
  the whole number when divided by 9 leaves 0 as remainder .
  99 is the only first number which when divided by 4,5,9
  leaves a remainder of 3,4,0.
  99 is the answer.
• 10 years agoHelpfull: Yes(9) No(1)
• did u used trail and error method for getting 99? @aman
• 10 years agoHelpfull: Yes(0) No(0)
• tel me the logic behind this puzzle
• 10 years agoHelpfull: Yes(0) No(0)
• it is known as chinese remainder theorm
• 10 years agoHelpfull: Yes(0) No(0)