To answer this question, we need to understand the numerical range of a char data type in programming.
In most programming languages, including Java and C++, a char data type represents a single character and is stored as a 16-bit value.
The correct answer is D) 0 to 65535. This is because a char data type can store values between 0 and 65535, inclusive. The range starts from 0 because it represents the Unicode value for the character '0', and it goes up to 65535 because it represents the maximum Unicode value that can be stored in a char.
Option A) -128 to 127 is incorrect because this range corresponds to the numerical range of a byte data type, which is 8 bits in size.
Option B) -(2^15) to (2^15) - 1 is incorrect because this range corresponds to the numerical range of a short data type, which is 16 bits in size.
Option C) 0 to 32767 is incorrect because this range corresponds to the numerical range of an int data type, which is typically 32 bits in size.
Therefore, the correct answer is D) 0 to 65535.