I have been doing a good amount of practicing with logic games this past week or so and I been noticing that grouping games with more than two groups have been giving me a lot of trouble. Is there any way to approach them without having to resort to creating a sub-diagram for each question?
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It still depends largely on the game whether or not you have to resort to sub-diagramming. If you find spots where stuff like either A or B must go in this slot, then you would make sub-diagrams for each and see if that affects the other rules.
If a question asks you to put C in group 3, how does that affect the rest of the variables? Almost all the time something triggers or is an "eye-opener".
Other than that, I would keep doing the LG method guide. It took me about 2-3 months and everyday of drilling to go through grouping games like water.
Creating limitations this way will be very useful.
Also, if the games have sub categories, it is helpful to figure out possible combinations beforehand.
For eg, 2-1-1, 3-0-1 etc.