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Refer to the given series and answer the question that follows (all numbers are single-digit numbers only, and all counting is to be done from left to right).
How many such odd digits are there, each of which is immediately preceded by an even digit and also immediately followed by an even digit?
4
3
2
0
3
Look for a triplet in the format (Even, Odd, Even). Scan the series for an odd number and immediately check the numbers to its left and right.
Look for a triplet in the format (Even, Odd, Even). Scan the series for an odd number and immediately check the numbers to its left and right.
Define the criteria
We need to find an odd digit (1, 3, 5, 7, 9) such that the digit to its left is even (0, 2, 4, 6, 8) and the digit to its right is even.
Scan the series
Series: 5, 3, 0, 3, 5, 7, 7, 9, 4, 4, 8, 3, 5, 0, 2, 0, 9, 5, 1, 9, 2, 8, 5, 4, 6, 3, 2, 8, 1, 5. Triplets (Even, Odd, Even) are: (8, 3, 5) тЖТ No, wait. Scanning carefully: (8, 3, 5-No), (4, 8, 3-No), (0, 2, 0-No). Let's list valid ones: 8,3,5 (No), 4,4,8 (No), 8,3,5 (No), 0,2,0 (No). Actually: 8, 3, 5 (3 is preceded by 8(E) and followed by 5(O)-No). Let's re-scan: 8,3,5 (No). Found: (8, 3, 5 NO), (2, 9, 5 NO), (6, 3, 2 YES), (2, 8, 1 NO). Wait, re-evaluating: 8,3,5(E,O,O), 0,2,0,9,5,1,9,2,8,5,4,6,3,2,8,1,5. Matches: (8,3,5 X), (4,4,8 X), (0,2,0 X), (9,5,1 X), (2,8,5 X), (4,6,3 X), (6,3,2 Yes), (3,2,8 X), (2,8,1 Yes).
Verified Matches
Scanning again carefully: 5 3 0 3 5 7 7 9 4 4 8 3 5 0 2 0 9 5 1 9 2 8 5 4 6 3 2 8 1 5. 1: (8,3,5-No). 2: (0,2,0-No). 3: (2,9,5-No). 4: (9,5,1-No). 5: (1,9,2-Yes). 6: (2,8,5-No). 7: (5,4,6
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