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Refer to the given number series and answer the question that follows. Counting to be done from left to right only. All numbers are single-digit numbers. (Left) 9 2 7 8 9 1 2 3 9 3 5 6 6 4 1 7 8 6 7 5 1 9 8 4 5 7 4 (Right) How many such even digits are there, each of which is immediately preceded by an even digit and also immediately followed by an odd digit?
None
Four
Two
Three
Three
Scan the series for all even digits, then immediately verify if the digit to their left is even and the digit to their right is odd (Even-Even-Odd pattern).
Scan the series for all even digits, then immediately verify if the digit to their left is even and the digit to their right is odd (Even-Even-Odd pattern).
Identify all even digits and their immediate neighbors
The series is: 9 2 7 8 9 1 2 3 9 3 5 6 6 4 1 7 8 6 7 5 1 9 8 4 5 7 4. Even digits are: 2, 8, 2, 6, 6, 4, 8, 6, 8, 4, 4.
Filter for the pattern: [Even] [Target Even] [Odd]
1: (9, 2, 7) - No; 2: (7, 8, 9) - No; 3: (1, 2, 3) - No; 4: (5, 6, 6) - No; 5: (6, 6, 4) - No; 6: (6, 4, 1) - Yes (6 is even, 4 is even, 1 is odd); 7: (7, 8, 6) - No; 8: (8, 6, 7) - Yes (8 is even, 6 is even, 7 is odd); 9: (1, 8, 4) - No; 10: (9, 8, 4) - No; 11: (5, 4, 5) - No. Wait, re-evaluating the full sequence: 9-2-7, 2-7-8, 7-8-9, 8-9-1, 9-1-2, 1-2-3, 2-3-9, 3-9-3, 9-3-5, 3-5-6, 5-6-6, 6-6-4, 6-4-1 (6, 4, 1 - Target 1), 4-1-7, 1-7-8, 7-8-6 (7, 8, 6 - No), 8-6-7 (8, 6, 7 - Target 2), 6-7-5, 7-5-1, 5-1-9, 1-9-8, 9-8-4, 8-4-5 (8, 4, 5 - Target 3).
A: Incorrect because we found three occurrences. B: Incorrect because the count is exactly three, not four. C: Incorrect because the count is exactly three, not two.
D is correct because there are exactly three even digits (4, 6, and 4) which are preceded by an even digit and followed by an odd digit at positions 14th (6-4-1), 18th (8-6-7), and 24th (8-4-5).
When asked for triplets in a sequence, mark the target condition (e.g., E-E-O) first, then iterate through the series to avoid missing middle elements.
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