Step 1: Identify the transformation rule in Figure E. The operation modifies the digits using a seven-segment display pattern rather than traditional arithmetic.
Given:
\[
1237 \oplus 3005 = 8886
\]
By analyzing the digit-wise transformation:
- \( (1,3) \rightarrow 8 \)
- \( (2,0) \rightarrow 8 \)
- \( (3,0) \rightarrow 8 \)
- \( (7,5) \rightarrow 6 \)
Step 2: Apply the same transformation to Figure F.
\[
3361 \oplus 5415 = ?
\]
Using the same pattern:
- \( (3,5) \rightarrow 6 \)
- \( (3,4) \rightarrow 8 \)
- \( (6,1) \rightarrow 8 \)
- \( (1,5) \rightarrow 6 \)
Thus, the result is \( 6886 \), which matches option Q.