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IMSO 2006 Mathematics Contest in Taiwan – Short Answer Question 10

IMSO Maths · IMSO 2006 Mathematics Contest in Taiwan – Short Answer

Question 10

A square piece of paper is divided into 16 identical boxes in a $4\times4$ array, each filled with a different letter as shown. The paper is folded four times:

1. The upper half covers the lower half.
2. The left half covers the right half.
3. The lower half covers the upper half.
4. The right half covers the left half.

Which letter is in the box on the 10th layer from the top?

Question illustration