You can in theory do deduction like that, but some sort of induction is probably better. Maybe. I've never actually tried, mainly I think because I don't know when to stop reading and start solving, and I don't know if I'm expected to read the prior section multiple times, or take notes.
I‘d guess this genre works best for readers who don’t focus on solving every murder but just read along. Sometimes you get it right, sometimes you have no idea, sometimes you follow a red herring, etc; also, the more crime stories you read, the better you know what kind of stories and authors you like.
There are also “whodunnit” puzzle books with little focus on the story and more focus on solving; perhaps an alternative.
