Which image should replace the question mark (?) if the following series were…
2024
Which image should replace the question mark (?) if the following series were to be continued?

Attempted by 18 students.
Show answer & explanation
This is a figure-matrix series with six fixed cells in every box: one top-left corner, two middle cells, and three bottom cells. A rotating corner-pair occupies the top-left and bottom-left corners at a time, swapping corners from one box to the next; every two boxes, one corner member is promoted into a single reserve cell, the other corner member retires from the series for good, and a genuinely new symbol, never seen anywhere before in the series, whether letter or digit, joins the promoted member to complete the pair. Meanwhile a separate fixed trio of symbols (one letter and two digits) continuously rotates through the three non-corner cells that the reserve letter is not currently occupying, and never touches the corners.
Box | Top-left | Middle | Middle-right | Bottom-left | Bottom-middle | Bottom-right |
|---|---|---|---|---|---|---|
1 | K | L | 8 | X | W | 2 |
2 | X | 2 | L | K | 8 | W |
3 | W | L | 2 | T | X | 8 |
4 | T | 8 | L | W | 2 | X |
Tracking the corner pool and the reserve cell across the four given boxes:
Boxes 1-2 form one corner-pair cycle: K and X occupy the top-left/bottom-left corners and swap between them, while W sits in the reserve cell (bottom-middle in box 1, bottom-right in box 2).
At the end of box 2, K is in the bottom-left cell, so K retires from the series completely; X is in the top-left cell, so X becomes the next reserve letter; and W, the outgoing reserve letter, is promoted into the corners together with the brand-new letter T. This is exactly what boxes 3-4 show.
Boxes 3-4 form the next corner-pair cycle: W and T occupy the corners and swap between them, while X sits in the reserve cell (bottom-middle in box 3, bottom-right in box 4).
At the end of box 4, T is in the top-left cell, so T becomes the next reserve letter; W is in the bottom-left cell, so W now retires from the series completely, the same way K did earlier; and X, the outgoing reserve letter, is promoted into the corners. The rule only requires the incoming corner symbol to be entirely unprecedented in the series (as T was, two boxes earlier) - it is not restricted to being a letter. Every letter and digit used so far (K, X, W, T, L, 8, 2) is already accounted for elsewhere, so the corner slot must be filled by a symbol that has never appeared before; the digit 9 satisfies exactly that requirement.
The middle/right-hand trio keeps rotating on schedule: L sits in the middle cell for odd-numbered boxes and the middle-right cell for even-numbered boxes, so box 5 (odd) places it back in the middle cell; the two digits swap which of the middle-right/bottom-right cells they occupy every time a new corner-pair cycle begins - box 1 had middle-right = 8 and bottom-right = 2, box 3 flipped this to middle-right = 2 and bottom-right = 8, so box 5 flips back to middle-right = 8 and bottom-right = 2.
Putting it together, box 5 must show: top-left = X, bottom-left = 9, bottom-middle = T, middle = L, middle-right = 8, bottom-right = 2.
Checking each figure against these rules: two of the given figures place a digit in a corner cell, which never happens in any of the four given boxes; one figure never introduces the required new symbol at all, simply reusing letters already seen; and one figure brings back a letter that must have permanently retired at this transition. Only the figure with X in the top-left corner, the new digit 9 in the bottom-left corner, T in the bottom-middle cell, and L, 8, 2 continuing their established rotation satisfies every rule simultaneously.
Correct layout: top-left = X, bottom-left = 9, bottom-middle = T, middle = L, middle-right = 8, bottom-right = 2.