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To determine which number is on top when 2 is at the bottom, we need to analyze the relationship between the numbers on the dice:

1. **Identifying Opposite Faces:**
   - From the first die (6, 1, 4):
     - Opposite pairs are 6-1 and 4 is opposite to a face not shown (which could be 2, 3, or 5).
   - From the second die (5, 3, 6):
     - Opposite pairs are 5-3 and 6 is opposite to a face not shown (which could be 1, 2, or 4).
   - From the third die (4, 1, 2):
     - Opposite pairs are 4-1 and 2 is opposite to a face not shown (which could be 3, 5, or 6).

2. **Matching Common Numbers:**
   - The first die has 6, and the second die also has 6. Therefore, the number opposite to 6 in the first die is 1.
   - The second die has 3, and the third die has 3. Therefore, the number opposite to 3 is 5.

3. **Opposite Pairs from Third Die:**
   - From the third die (4, 1, 2), since 1 is opposite 4, 2 will be opposite 3.

4. **Final Conclusion:**
   - Since the problem states that 2 is at the bottom, the number opposite to 2 (and hence on top) is **3**.

So, the answer is:
**b. 3**

Would you like any further details or explanations? Here are some additional questions that can help you explore this concept further:

1. How do opposite faces on a standard die relate to each other?
2. What methods can be used to visualize the positions of faces on a 3D object like a die?
3. Can you predict the top number if different faces are shown on the dice?
4. How do rotations of dice affect the interpretation of visible numbers?
5. Are there any common patterns or tricks to quickly determine opposite faces?

**Tip:** To easily find the opposite face, keep track of adjacent faces and remember that each number pair on opposite sides must sum to 7 in a standard die.

If number 2 is in bottom, then which number is on top?

Explore how to determine the number on the top face of a die when 2 is on the bottom. This problem emphasizes spatial reasoning and understanding the concept of opposite faces on a die. Suitable for students in Grades 5-8.

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