Find the smallest positive integer that is a multiple of 35 whose digits are all the same.

The number will have to consist of only the number 5, since the unit digits of all the multiples of 35 will always end with 5 or 0. Since the no. is a positive integer, it will comprise of 5's.\

By trial and error, we come to the answer (divisible by 7)is 555555.

  

Posted by Sparsh on 2006-05-12 04:48:13