Consider the given number $$(45)_y$$​, where y is the base of the number. Some of the possible values of y are given below:
A. 5
B. 6
C. 7
D. 8
Choose the correct answer from the options given below:

Correct option is B

In positional number systems, the base y must be greater than any digit in the number. Since the highest digit in $$(45)_y$$​ is 5, the base y must be at least 6. We will check all options accordingly.