Yeah, that's probably what they were going for. These kinds of puzzles are pretty bogus though. You could choose any number of ways to interpret each cell as some logical expression, and then choose from any number of functions that make the truth table valid with any result you want in the blank cell. At that point, you just have to guess which of those functions the test writers thought was the most "natural" or "elegant" or "clever," but there's really no objective sense in which one is more correct than the other (unless you literally define the purpose of the test as measuring the ability of the test taker to predict the intent of the test writer).
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.
It is like Super Symmetry, you can concoct any number of basis functions to match the desired output, I feel like I have to be extra smart to figure out the one they want.
Yes, I had exactly that thought as I was going through it. I could see many times a pattern, but was it the pattern that they wanted? Pretty small samples to triangulate on.
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.
[0] https://oeis.org/A344650
[1] https://oeis.org/A007059