Six numbers 5, 3, 6, 7, 9 and 2 are written on different faces of a dice. Two positions of this dice are shown in the figure belo…

Question

Six numbers 5, 3, 6, 7, 9 and 2 are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the number on the face opposite to the one having 5. [Refer to the figure.]

1. A. 2 (Correct answer)
2. B. 9
3. C. 3
4. D. 6

Correct Answer

Option A — 2

Detailed Solution & Explanation

The correct answer is 2.

Key Points

• The face '3' is common to both positions; using it as the fixed reference, one view is a rotation of the other.
• Tracking the faces around '3' shows that 5 and 2 end up on opposite faces.
• Hence the face opposite 5 is 2.

Additional Information

• With two views of a die, find the face common to both and treat it as fixed; the second view is then a rotation of the first about that face.
• A face is adjacent to exactly four others and opposite the fifth, so collecting four distinct neighbours identifies the opposite face by elimination.
• If no face is common to the two views, use the rule that faces keeping the same clockwise order around a shared pair cannot be opposite each other.