2:I[5751,[],""] 4:I[8003,["138","static/chunks/138-338b445c4cbceabf.js","3","static/chunks/3-b4862a6e1de95ec0.js","628","static/chunks/app/papers/%5BpaperId%5D/%5Byear%5D/%5Bid%5D/page-257c971832fd49dc.js"],"default"] 6:I[9275,[],""] a:I[1343,[],""] b:I[101,["138","static/chunks/138-338b445c4cbceabf.js","987","static/chunks/app/papers/%5BpaperId%5D/%5Byear%5D/layout-3942c697a7972a68.js"],"default"] c:I[6324,["138","static/chunks/138-338b445c4cbceabf.js","987","static/chunks/app/papers/%5BpaperId%5D/%5Byear%5D/layout-3942c697a7972a68.js"],"default"] 13:I[4080,["185","static/chunks/app/layout-f07fbac6855a712f.js"],""] 14:I[231,["138","static/chunks/138-338b445c4cbceabf.js","986","static/chunks/986-a23d2b0476d0b49a.js","368","static/chunks/app/papers/%5BpaperId%5D/page-879e8aaf99bd7bd0.js"],""] 16:I[6130,[],""] 5:T642,

Answer: ["B","D"]

Key insight
Each piece P, Q, R, S has a fixed shape and colour. A valid cube arrangement must have each piece appearing exactly once, in a geometrically consistent position, with no two pieces occupying the same space.

Step by step
Step 1: Identify the shapes and colours of pieces P, Q, R, S from the reference image.
Step 2: For each cube option, verify that: (a) all four pieces are present, (b) their shapes fit together without gaps/overlaps, and (c) the visible face colours match what those faces would show.
Step 3: Option A — all four pieces combine geometrically consistently. ✓
Step 4: Option B — the colour/face arrangement is geometrically impossible given the piece shapes; two pieces would have to occupy the same space or a piece is missing. ✗
Step 5: Option C — valid arrangement. ✓
Step 6: Option D — another impossible arrangement based on the piece geometry. ✗
Therefore the answer is B and D.

Why wrong options are wrong
Option B: The face colours shown imply a spatial arrangement of pieces that conflicts with the physical sh

Four solid pieces P, Q, R and S are arranged to form a cube. Which of the cubes shown in the options is/are NOT possible?