But, we need a little more than 1%. So, the way the game you just played works, is as follows:

Every number turns out to be computable as a sum of some combination of the powers of 2. Using this piece of knowledge, the trick then is to, arrange the numbers in the lists in a way that, the number you had in mind, can be computed based on the lists your number was found in.

Let's take 25 as an example. Now, 25 happens to be equal to 1 + 8 + 16. Notice, 1, 8 and 16, are uniquely positioned as the first numbers of the first, fourth and fifth lists respectively and the number 25, appears in these lists only. So if you ticked these lists, the first number of each of these lists is taken and added up, and voila, we have your number!

This game is inspired from a numberphile video embedded below.