I made it to 29 (feel like I knew all of the ones before that, but who knows?). But #29 threw me. It is the one with the like down the center, and columns of either solid or stroked boxes on either side. No clue what the pattern was there.
Vg'f fvtarq nqqvgvba. Lbh gnxr gur yrsg funcrf nf artngvir naq gur evtug funcrf nf cbfvgvir naq nqq gur svefg gjb vzntrf gb neevir ng gur guveq.
To use a simpler example with integer sequences, if the question asked for the next integer in this sequence:
0, 1, 1, 2, 3, 5, 8, ?
Most of us probably immediately think "ooh, the test writer is very clever because they know about the Fibonacci sequence, and I'm clever too, so the correct answer is obviously 13. But wait! What if the intended sequence is the number of strict odd-length integer partitions of 2n, and thus the correct answer is 11 [0]? What if the intended sequence is the number of balanced ordered trees with n nodes, and the correct answer is 14 [1]? Heck, what if the intended sequence is Fibonacci(n) mod 10, and the correct answer is 3? There is an infinite set of functions from the integers to the integers which give you the 7 provided results for n=0 through n=6, and you can get any result you want for n=7 by just choosing among those functions. There is absolutely no mathematical or logical way to prefer any one of those functions to any other.