I'm prepared for the competitive exam like this (a sample question).
In order to solve the problems, first to familiarize with the prerequisite for the each concept. It's ok!
My problem is: If I'm working certain problems on group theory, then it will take two days or a week. Ok! No problem. After the week, I can move on to the next concept like integration, so it will take some time. But in the third week, I lack some concepts bit about group theory (even sometimes, I'm forgetting what I'm doing in the first week). So I feel I waste lot of time. I really want to learn algebra, analysis, topology, and all that simultaneously (sorry if this word does not make sense) or to first learn some bit about algebra and then analysis? I don't no how to move on?
Suppose the question booklet start with group theory. That is, the first question involves group theory, the second one involves like analyticity and the 17th question (for example) involves again group theory etc.
My question is: Is the way to doing problems one by one (in the order)? or By selecting the first one and do all the problems related to group theory and then move on the next concept (like analyticity)? or anything else?
What is the best strategy to prepare this type of exam?