[greenyoda]

"Can anyone suggest a few problems with max completion times for each that will let me know for sure?"

I'm not sure if timed problems are a good way to assess yourself. Being able to solve programming problems quickly comes from (1) experience from having solved lots of problems before and (2) experience with your languages and environments. If you have a lot of aptitude but little experience, you may not be able to solve problems quickly.

"What's the fastest way to tell if I'm cut out for, and should pursue programming?"

I don't know if there's a fast way that can give you a meaningful answer. I'd suggest spending some time (at least several months) learning more about programming, working on some problems you're interested in, and seeing whether you become a better programmer over time.