To determine which of the given options are valid declarations, let's analyze each option:
A. int i = 0XCAFE;
This option is a valid declaration. In Java, the prefix "0X" indicates a hexadecimal value. The hexadecimal value 0XCAFE is a valid integer value.
B. boolean b = 0;
This option is not a valid declaration. In Java, the boolean data type can only have two possible values: true or false. Assigning an integer value of 0 to a boolean variable is not allowed.
C. char c = A;
This option is not a valid declaration. In Java, character literals should be enclosed in single quotes (''). The character literal 'A' represents the character 'A', so the correct declaration would be char c = 'A';.
D. byte b = 128;
This option is not a valid declaration. In Java, the byte data type can hold values from -128 to 127. Assigning the value 128 to a byte variable exceeds the range of valid values.
E. char c = "A";
This option is not a valid declaration. In Java, character literals should be enclosed in single quotes (''). The double quotes ("") are used for string literals. To assign the character 'A' to a char variable, the correct declaration would be char c = 'A';.
Therefore, the valid declaration among the given options is A) int i = 0XCAFE.