"They then asked me about a time where I disagreed with a superior and how I handled the situation"
"I told them that every situation is different and that to me... there's no one right answer."
I would have made the same mistake right out of college. The right answer would have been to "tell them about a time where you disagreed with a superior and how you handled the situation."
The question was not designed to produce a report on how you handle disagreements with superiors. It was not even designed to see if you could follow instructions like a lemming.
I suggest you look the real reason you didn't want to give an answer: the fear that it would be the wrong answer. The fear that these people would listen to how you handled a single situation and determine from that single data point whether or not you are suitable for a job. So the answer you gave them was "I don't want to give you an answer because I believe you to be short sighted fools who have no experience of human relationships and will therefore judge me by this one answer".
The question was designed a) to start a discussion on interactions with superiors and b) to determine your level of fear of giving a wrong answer in an interact with superiors.
Instead, you had a disagreement with your superiors-to-be about the quality of their question and demonstrated that in such situations your response is to be defensive and provide no information, instead of getting the ball rolling.
"I told them that every situation is different and that to me... there's no one right answer."
I would have made the same mistake right out of college. The right answer would have been to "tell them about a time where you disagreed with a superior and how you handled the situation."
The question was not designed to produce a report on how you handle disagreements with superiors. It was not even designed to see if you could follow instructions like a lemming.
I suggest you look the real reason you didn't want to give an answer: the fear that it would be the wrong answer. The fear that these people would listen to how you handled a single situation and determine from that single data point whether or not you are suitable for a job. So the answer you gave them was "I don't want to give you an answer because I believe you to be short sighted fools who have no experience of human relationships and will therefore judge me by this one answer".
The question was designed a) to start a discussion on interactions with superiors and b) to determine your level of fear of giving a wrong answer in an interact with superiors.
Instead, you had a disagreement with your superiors-to-be about the quality of their question and demonstrated that in such situations your response is to be defensive and provide no information, instead of getting the ball rolling.