Question

A dice is thrown four times and its four different positions are shown below. Find the number on the face opposite the face showing 2.

• A. \(1\)
• B. \(3\)
• C. \(4\)
• D. \(5\)
• E. \(6\)

Answer 1

The Correct Option is D

Concept: This is a
dice reasoning problem involving:

• Identifying adjacent faces
• Using multiple views to determine opposite faces
• Rule: Opposite faces never appear together

Step 1: Observe faces with 2.
From given positions:

• (i): 2 is adjacent to 6 and 4
• (ii): 2 is adjacent to 3 and 4
• (iv): 2 is adjacent to 1 and 3

Step 2: List adjacent faces of 2.
\[ \text{Adjacent to 2: } 1, 3, 4, 6 \]
Step 3: Find opposite face.

• A dice has 6 faces
• One face is 2, four are adjacent → remaining face is opposite

\[ \text{Remaining number} = 5 \]
Step 4: Option analysis.

• (A) 1: Adjacent to 2 $\times$
• (B) 3: Adjacent to 2 $\times$
• (C) 4: Adjacent to 2 $\times$
• (D) 5: Opposite face \checkmark
• (E) 6: Adjacent to 2 $\times$

Conclusion:
Thus, the correct answer is
Option (D).