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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 only. (Left) 4 1 7 5 2 8 9 1 6 3 2 7 4 1 3 7 9 5 3 6 8 3 4 1 2 7 5 (Right) How many such even digits are there, each of which is immediately preceded by an odd digit and also immediately followed by an even digit?
One
None
Three
Two Question ID : 4410091147024 Option 1 ID : 4410094523053 Option 2 ID : 4410094523052 Option 3 ID : 4410094523055 Option 4 ID : 4410094523054 Status : Answered Chosen Option : D
Two Question ID : 4410091147024 Option 1 ID : 4410094523053 Option 2 ID : 4410094523052 Option 3 ID : 4410094523055 Option 4 ID : 4410094523054 Status : Answered Chosen Option : D
Scan for triplets in the format (Odd, Even, Even). Since the sequence is fixed, mark digits as O or E and look for the specific O-E-E string.
Scan for triplets in the format (Odd, Even, Even). Since the sequence is fixed, mark digits as O or E and look for the specific O-E-E string.
Mapping the sequence to Odd/Even
Convert the series 4 1 7 5 2 8 9 1 6 3 2 7 4 1 3 7 9 5 3 6 8 3 4 1 2 7 5 into its Odd(O) and Even(E) parity: E O O O E E O O E O E O E O O O O O O E E O E O E O O
Identifying the target pattern O-E-E
We are looking for an even digit preceded by an odd and followed by an even digit, which is the pattern (O-E-E). Analyzing the string: 4(E), 1(O), 7(O), 5(O), 2(E), 8(E) тЖТ Pattern found at (5, 2, 8). Next: 8(E), 9(O), 1(O), 6(E), 3(O), 2(E), 7(O), 4(E), 1(O), 3(O), 7(O), 9(O), 5(O), 3(O), 6(E), 8(E) тЖТ Pattern found at (3, 6, 8). Continuing: 8(E), 3(O), 4(E), 1(O), 2(E), 7(O), 5(O).
Verification of identified triplets
The O-E-E triplets identified are: (5, 2, 8) and (3, 6, 8). Total count is 2.
A: Only one pattern was not found, there are exactly two. B: The count is not zero, as two valid sequences were identified. C: There is no third instance of the O-E-E pattern in the provided sequence.
D is correct because there are exactly two instances of an even digit (2 and 6) that are both preceded by an odd digit and followed by an even digit.
For string analysis questions, writing O/E above or below the numbers prevents mental fatigue and reduces the probability of skipping digits during counting.
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