I applied on my college's career website and gave my resume to the recruiter at our career fair. The recruiter was unfriendly and didn't really seem to care about the program and barely answered my questions. She then told me that the program was very competitive and implied that I was not a competitive candidate.
Surprisingly I got an email from the recruiter a few days later to answer a questionnaire. After that she set up a phone interview about a week later. She was far more pleasant and informative during the interview. She asked basic behavior questions and it took about 20 mins. The TRP is not as well-planned or organized as most of the rotational/development programs I applied to.
A week later I had a phone interview with an engineering manager who would make hiring decisions later in the process if I was invited to an on-site interview. The interviewer asked behavior questions and asked me to describe in detail my previous employment and research experiences. She was friendly and knowledgeable about the program and seemed interested the whole time. THEN, she asked technical questions which were chemistry/material science based and this went horribly. I answered 2 of 5 correctly and this clearly changed her attitude towards me during the interview. The technical questions are pointless. They ask you to remember information you haven't used since freshmen year and could relearn in five minutes, but have not retained until now because you don't use the information. This doesn't test reasoning skills. It tests whether you are lucky and they ask questions you remember from years ago.
I never heard back from Lexmark. They didn't even have the courtesy to send a rejection after I had interviewed twice. This left an even more negative impression of the company for me.