An aeroplane must maintain a ground velocity of 500 mph due south, bearing 180°. Wind blows at 100 mph FROM southeast, bearing 135°. What airspeed and heading are required? AI reconstruction: use horizontal vector addition; round the required airspeed to the nearest 25 mph and heading to the nearest 10° to choose a listed approximation. Bearings are clockwise from north. SOUTH = nam; WIND = gió; SE = đông nam.
AI reconstruction: Added rule: At every step exactly one red star changes into a blue triangle in the same position. Existing triangles stay triangles; do not add, remove or move symbols. Choose the next picture.
Which option is the flat view of the solid from directly above? Keep all visible block boundaries and show spots only if they are on upward-facing surfaces.
AI reconstruction: Which outline differs from the other four? Compare straight and curved lines. Added condition: Compare straight and curved lines in the outlines.
AI reconstruction (instruction and any added conditions): Complete the grid using two separate rules. Every row and column contains one striped cat face, one bear face and one lion face. It also contains one of each colour group: a mainly white face; yellow/orange without large black or dark-brown areas; and yellow combined with large black or dark-brown areas. Ignore outlines and tiny eye, nose and mouth details when grouping colours.
AI reconstruction. Choose the next domino. From left to right, the top half loses one dot and the bottom half gains one dot at each step. Keep the total number of dots constant.
AI reconstruction: These are upright UK-type wall sockets viewed from the front, with the long vertical opening uppermost. Which drawing has the correct labels? Read each listed triple as top–lower left–lower right. N=neutral, E=earth, L=live. This is a diagram-identification exercise only; never insert objects into or open an electrical socket.
AI reconstruction. Use the same left-to-right transformation in both rows. Added rule: rotate the large shape through 180 degrees and exchange black with white; separately rotate the small marker 90 degrees clockwise without exchanging its colours.
AI reconstruction: Choose the missing cell. Compare corresponding positions and sizes of squares, using the same combination rule across rows and down columns.
AI reconstruction: use this precise transformation. Exchange the letters B and D, rotate the whole figure 180 degrees, and add one larger ring around the small interior mark. Preserve the boundary markers. Which candidate is the transformed third figure?
AI reconstruction. Fill the two missing upper sloping bands and the missing lower-right inner triangular region so that the coloured design is unchanged by a 180-degree rotation about its centre. Preserve the thin white separators. Which group of coloured pieces fits?
AI reconstruction (instruction): In each row, the third drawing retains only the strokes or small shapes shared by the first two drawings in corresponding positions. Choose the missing drawing.
AI reconstruction. Complete the grid so each row and column has one green, one purple and one orange egg, and one of each decoration: wavy bands, stars, and flowers between zigzag bands. Continue the visible accent-colour rule for bands, zigzags and stars: lime on green, orange on purple, yellow on orange. The flower colours are separate from this accent rule.
AI reconstruction. The smaller shape consists of all empty unit cells inside the larger shape’s rectangular bounding grid. Remove entirely empty outer rows and columns after taking this complement; do not rotate or reflect. Apply the blue example’s rule to the pink shape.
Find two English words with the same or nearly the same meaning.
1. learn; 2. pupil; 3. master; 4. seek; 5. college; 6. book.
AI reconstruction: the response format is adapted from selecting two words. Enter their two position numbers as a two-digit number, smaller position first, with no separator. For example, positions 1 and 2 would be entered as 12. All six words remain unchanged.