Final answer:
The correct answer is option d, which is 'String longest = words[0];' This ensures that the longest string in the array 'words' can be found and returned after comparing all strings in the loop.
Step-by-step explanation:
The correct answer to complete the method so that it will return the longest string in the string array words is option d. String longest = words[0];
Option d correctly initializes the variable longest to the first string in the array, allowing the subsequent loop to compare this string with every other string's length. As the loop proceeds and identifies a string longer than the currently stored longest string, it updates the longest variable. This ensures that by the end of the loop, the method will be able to return the actual longest string in the array.
Options a and b use an int type which cannot hold a String value, while option c initializes to an empty string that may not be in the array and thus doesn't serve as a valid comparison base. Option e is incorrect because it assumes the second element in the array is the longest, which is not necessarily true.