Refer to the following series and answer the question (All numbers are single digit numbers only. Counting to be done from left to right.) (Left) 1 8 4 6 1 8 6 4 4 3 3 2 1 1 8 8 6 7 4 6 8 8 4 5 9 9 4 (Right) How many such even numbers are there each of which is immediately preceded by an odd number and also immediately followed by an odd number?
Series Examination
The objective is to count the numbers within the provided series that satisfy three conditions simultaneously: they must be even, immediately preceded by an odd number, and immediately followed by an odd number. This pattern can be summarized as Odd-Even-Odd (OEO).
Number Pattern Matching
The given number series is:
\(1 8 4 6 1 8 6 4 4 3 3 2 1 1 8 8 6 7 4 6 8 8 4 5 9 9 4\)We will systematically scan the series to identify occurrences of the OEO pattern:
- Consider the sequence \(3 2 1\). Here, the number \(2\) is an even number. It is preceded by \(3\) (an odd number) and followed by \(1\) (an odd number). This instance perfectly matches the OEO criteria.
- All other even numbers in the series (like 8, 4, 6, etc.) are examined. None of them fulfill both the preceding and following odd number conditions. For instance, some are preceded by even numbers, others are followed by even numbers, and the final 4 is preceded by an odd number but lacks a following number.
Count of Matching Numbers
After analyzing the entire series, only one number, the digit 2, meets all the specified conditions (being an even number framed by two odd numbers).
Therefore, the total count of such numbers is 1.
Similar Questions
- In the series 5442673314884743581, the number that is sixth from the left of the seventh term from the right is:
In the series 5442673314884743581, the number of 4s that are completely divisible by the number on their right but not divisible by the number on their left is:
Important Questions from Number Arrangement
Six friends A, B, C, D, E and F are sitting in two lines, facing the north. Three persons are sitting in each line. F is sitting in the middle. C is just behind B. D is to the immediate right of E. B is to the immediate left of F. Which three persons are sitting in the same line?
Refer to the following series and answer the question (all numbers are single digit numbers only).
(Left) 1 2 6 5 6 8 1 5 8 6 9 8 3 3 5 8 9 4 7 8 (Right)
How many such even digits are there, each of which is immediately preceded by an odd digit and also immediately followed by an odd digit?
Each of the digits in the number 9362145 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and third from the right in the number thus formed?
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 3842675, how many digits will appear more than once in the new number thus formed?
Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only.
(Left) @ * $ 3 8 9 % + 7 > 6 # < % % ? 6 2 $ / 6 (Right)
How many such numbers are there, each of which is immediately preceded by a symbol and also immediately followed by a symbol?
