This app was mentioned in 2 comments, with an average of 1.50 upvotes
Discussion: They are pretty much just known as logic puzzles. Some examples of where you can find more;
https://play.google.com/store/apps/details?id=com.eggheadgames.logicproblems&hl=en&gl=US
Penny Press and Dell are the two major ones (I think they may have actually merged but they still publish under both names).
Here's a link to an app in the Google play store for what we're talking about:
Also check out this group of puzzles:
Not at all what's in the LSAT, but uses the same sort of deductive and spatial reasoning that the LSAT games do.