AI reconstruction. Read the eight fixed bar positions clockwise, starting with the upper-left bar of the top pair. In each row, move every colour forward by one position clockwise, leaving the bar positions and slopes fixed, and change the diamond border to an upright square. Which option completes the last row?
A lidless tank has a square base. Which proportions give the greatest volume for a fixed area of sheet metal? AI reconstruction: ignore thickness, seams and waste; the base side length is b and the vertical wall height is h. Read “height of base” in the original choices as base side length.
Square base; wall height equals base side (h=b)
Square base; wall height twice base side (h=2b)
Square base; wall height half base side (h=b/2)
Square base; wall height three times base side (h=3b)
A rectangular box measures 1 m × 1 m × 50 cm. How many such boxes can fit in a rectangular container with internal dimensions 9 m × 5 m × 3 m? Treat the given box sizes as exact outer dimensions and allow face-to-face packing without gaps.
The grey box shows three views of the same cube. Which option replaces the blank face in the third view? Match the positions and directions of the markings.
AI reconstruction: Which letter is least like the other four? Added condition: Use English vowels and consonants, rather than the geometry of the letters.
AI reconstruction. Read the six panels across the top row, then the bottom row. Continue two independent cyclic shifts: the five positions on the left triangle (including the centre) form one circuit, and the four non-central positions on the right form another. Each colour advances one place on its circuit at each step, as shown by the first two panels.
Which option can be rotated to make the target shown? Keep every solid block, its colour and its connections unchanged. A long block without an internal dividing line stays one piece.
2, 5, 12, 27, 58, ?
Find the next term.
AI reconstruction — added rule family: Multiply each term by 2, then add successive positive integers beginning with 1.
AI reconstruction: Choose the missing cell. In each row, rotate the first figure 90° counterclockwise and the second figure 90° clockwise, then superimpose them without deleting lines.
AI reconstruction: The written question was missing. Choose the tile that fills the square marked ? so that the surrounding lines and repeated shapes continue smoothly. Use each option in the orientation shown, without rotating or reflecting it.
Words: Luke, Mark, Oliver, Matthew, John.
Choose the one answer meeting the stated criterion.
AI reconstruction — added criterion or response task: Compare the traditional names of the four canonical Christian Gospels.
AI reconstruction (instruction): In each row and each column, the groups contain one, two and three black keys once each. Independently, they contain zero, one and two shortened white keys once each. A shortened white key leaves a tall orange block beneath its lower end. Choose the missing group.
AI reconstruction. Choose the result after unfolding. Reconstructed conditions: the starting shape is a regular hexagon divided into six congruent equilateral triangular sectors meeting at its center. Fold all six sectors to coincide as one triangular stack. Cut off the tip corresponding to the original center along a straight line parallel to the sector’s outside edge, through all layers. Then unfold.
AI reconstruction (instruction): Each figure has a circular head. In every row and column, the lower shapes include one square, one triangle and one oval, regardless of rotation. Added orientation condition: the first and third rows use the same orientation for each lower shape. Choose the missing figure.
AI reconstruction. Continue by turning the entire two-triangle design 90° clockwise each time. Keep both colors and keep the blue triangle in front at crossings.
AI reconstruction. Complete both patterns. Every row and column contains one green triangle, one blue triangle, and one empty position. Independently, every row and column contains one short, one medium, and one tall red bar.
AI reconstruction: Choose the missing picture. Added condition: In each row and column, the third picture shades the union of the outer regions shaded in the first two pictures. The central square remains white.
