To determine the possible data types that the variable x can have, we need to understand the concept of type promotion and the rules for arithmetic operations in Java.
In the given code, the variables b1 and b2 are of type byte. When performing arithmetic operations on byte values, Java automatically promotes them to int before performing the operation. This is known as type promotion.
In the expression x = b1 * b2, the multiplication of b1 and b2 results in an int value. As a result, the variable x can store an int value.
Therefore, the correct answer is:
C. (B), (D), (E), and (F)
The variable x can have the data types int, long, float, and double.