A four-digit hexadecimal integer is written on a napkin such that the units digit is illegible. The first three digits are 4, $A$, and 7. If the integer is a multiple of $17_{10}$, what is the units digit?
Can you clarify your question without those $ signs?
If the number is multiple of 17 to base 10, then the Hex. number is:
4A71 =19,057 / 17 =1,121.