If k is a positive integer and if the numeral in the decimal system that represents the product
60k contains only the digits 0 and 2, what is the least possible value of 60k ?
If this question was asked in a multiple choice exam, one would simply take an answer and find if it is a multiple of 60. What if there were no answers given? For instance what if the question asked to find the first 5 multiples of 60k, that which 60k contains only the digits 0 and 2? The possibilities are not endless, but wouldn't it be rather difficult to pinpoint them?
Thanks in advance.