Step-by-step Solution:

Quick Solution

This dice puzzle can be solved easily by using a standard rule for comparing two positions of the same die.

1. The Key Rule for Dice Puzzles

When you are shown two different positions of a single die, and they have two faces in common, then the remaining third face visible in each position must be opposite to each other.

2. Applying the Rule to the Image

• First View: Shows the numbers 1, 4, and 6.
• Second View: Shows the numbers 5, 4, and 6.

- The two faces that are common to both views are 4 and 6.
- The remaining (third) face in the first view is 1.
- The remaining (third) face in the second view is 5.

According to the rule, these two remaining faces must be on opposite sides of the die.

3. Conclusion

We have deduced that the number 1 is opposite to the number 5.

Therefore, if number 1 is on the top of the die, the number at the bottom must be its opposite, which is 5.

Final Answer: The number at the bottom will be 5.