Final answer:
The statement is False because both float and int numeric types have limits to the number of digits they can store, with these limits being defined by the system's architecture and the finite number of bits allocated for their storage.
Step-by-step explanation:
The statement 'The float numeric type has a limit to the number of digits that can be stored, but the int numeric type does not' is False. Floating-point numbers indeed have a limit to the precision and range they can represent because they are stored using a finite number of bits. On the other hand, the size of an integer in most programming languages is also limited by the size of its type, which is determined by the architecture of the system (typically 32 or 64 bits). However, this does not equate to having an infinite number of significant figures as suggested for exact numbers in mathematics.