Refer to the following number series and answer the question that follows. (All numbers are single-digit numbers only.) (Counting to be done from left to right only.)
(Left) 2 8 2 3 2 7 9 3 5 4 6 8 9 4 4 7 8 7 5 4 3 5 5 6 2 9 8 (Right)
How many such odd numbers are there, each of which is immediately preceded by an odd number and also immediately followed by an odd number?
Correct Answer :
3
Solution :
The correct option/answer is 3.
Step 1: Understand the condition
We need to find the total count of odd numbers in the series that are both preceded by an odd number and followed by an odd number.
This means we are looking for a pattern of three consecutive odd numbers: (Odd - ODD - Odd), where the middle odd number is counted.
Step 2: Examine the given number series from Left to Right
Series: 2 8 2 3 2 7 9 3 5 4 6 8 9 4 4 7 8 7 5 4 3 5 5 6 2 9 8
Step 3: Identify the valid patterns (Odd - ODD - Odd)
Scanning through the sequence, we find the following groups of three consecutive odd numbers:
1. 7 - 9 - 3: The odd number 9 is preceded by 7 (odd) and followed by 3 (odd).
2. 9 - 3 - 5: The odd number 3 is preceded by 9 (odd) and followed by 5 (odd).
3. 3 - 5 - 5: The odd number 5 is preceded by 3 (odd) and followed by 5 (odd).
Step 4: Final Count
Total such odd numbers satisfying the criteria = 3.
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