To solve this question, the user needs to understand the difference between the Math.floor(), Math.round(), Math.ceil(), and Math.min() methods in Java.
Math.floor() returns the largest (closest to positive infinity) double value that is less than or equal to the argument and is equal to a mathematical integer.
Math.round() returns the closest long or int, as given by the methods of the same name, to the argument, with ties rounding to positive infinity.
Math.ceil() returns the smallest (closest to negative infinity) double value that is greater than or equal to the argument and is equal to a mathematical integer.
Math.min() returns the smaller of two double values as an argument.
Now, let's go through each option and determine which one will output -4.0:
A. System.out.println(Math.floor(-4.7));
This option will output -5.0 because Math.floor() returns the largest double value that is less than or equal to the argument, which in this case is -5.0.
B. System.out.println(Math.round(-4.7));
This option will output -5 because Math.round() returns the closest long or int to the argument, which in this case is -5.
C. System.out.println(Math.ceil(-4.7));
This option will output -4.0 because Math.ceil() returns the smallest double value that is greater than or equal to the argument, which in this case is -4.0.
D. System.out.println(Math.min(-4.7));
This option will not compile because Math.min() requires two arguments, and only one is given.