Two different positions of the same dice are shown below. If the number 6 is on the bottom face, then which number will appear on…

Question

Two different positions of the same dice are shown below. If the number 6 is on the bottom face, then which number will appear on the top face?

1. A. 3
2. B. 1
3. C. 2
4. D. 5 (Correct answer)

Correct Answer

Option D — 5

Detailed Solution & Explanation

The correct answer is 5.

Key Points

• From the first cube, the face 5 is adjacent to 2 and 3.
• From the second cube, the face 5 is adjacent to 4 and 1.
• So 5 shares an edge with 1, 2, 3 and 4 — four different faces.
• A cube face is adjacent to exactly four faces and opposite to the fifth, so 5 is opposite 6.
• With 6 on the bottom, the top face must be 5.

Additional Information

• The general technique: whichever number appears in both views is the pivot; list every face shown beside it. Once four distinct neighbours are collected, the one remaining number is its opposite.
• A useful cross-check: the three pairs of opposite faces here are 5-6, and the remaining numbers 1, 2, 3, 4 pair among themselves.

*Ministry of Papers worked solution. The Commission has not yet published the official key for this paper; this answer will be reconciled with it on release.*