The interviewer would like to know about your ability to keep working even when the challenges seem insurmountable. Being able to trudge through the tough and challenging times is an essential skill to highlight. Tell the hiring manager that you are able to succeed and push through.
"The most challenging task that I have faced as a QC Inspector was the recent implementation of our new facility-wide safety program. It was very detailed and required a lot of training hours and re-certifications. Also, there was a great deal of resistance from many of the employees. In the end, it was a very successful endeavor and I'm pleased with how it turned out."
"I feel the most challenging tasks I will face, at first, will be gaining the trust of my team because I am new to my career. I want to quickly establish that I am knowledgeable in the area of QC and have something to teach, despite being green in the industry."
"The most challenging factor I face as a QC Inspector is hiring the right people, and keeping them, while working in such a diverse and high-stress environment. One way that I manage this is by getting to know my team on a more personal level, offering continued training, and giving kudos where they are deserved, on a regular basis."