(Left) 2 8 1 3 5 2 6 7 3 4 9 6 7 8 4 1 3 4 6 (Right)
How many such even digits are there each of which is immediately preceded by an odd digit and immediately followed by an even digit?
Analyzing the Digit Series Pattern
The question asks to identify the number of times a specific pattern occurs in the given series: $2 8 1 3 5 2 6 7 3 4 9 6 7 8 4 1 3 4 6$.
The required pattern is an even digit that is immediately preceded by an odd digit and immediately followed by an even digit. This can be represented as: $Odd - Even - Even$.
Step-by-Step Pattern Identification
We will examine consecutive triplets of digits in the series from left to right:
- $2 8 1$: Starts with Even. Not the pattern.
- $8 1 3$: Even-Odd-Odd. Not the pattern.
- $1 3 5$: Odd-Odd-Odd. Not the pattern.
- $3 5 2$: Odd-Odd-Even. Not the pattern.
- $5 2 6$: Odd(5) - Even(2) - Even(6). This matches the pattern. (Count: 1)
- $2 6 7$: Even-Even-Odd. Not the pattern.
- $6 7 3$: Even-Odd-Odd. Not the pattern.
- $7 3 4$: Odd-Odd-Even. Not the pattern.
- $3 4 9$: Odd-Even-Odd. Not the pattern.
- $4 9 6$: Even-Odd-Even. The middle digit (9) is odd. Not the pattern.
- $9 6 7$: Odd-Even-Odd. Not the pattern.
- $6 7 8$: Even-Odd-Even. The first digit (6) is even. Not the pattern.
- $7 8 4$: Odd(7) - Even(8) - Even(4). This matches the pattern. (Count: 2)
- $8 4 1$: Even-Even-Odd. Not the pattern.
- $4 1 3$: Even-Odd-Odd. Not the pattern.
- $1 3 4$: Odd-Odd-Even. Not the pattern.
- $3 4 6$: Odd(3) - Even(4) - Even(6). This matches the pattern. (Count: 3)
Conclusion
By carefully examining the series for the $Odd - Even - Even$ pattern, we found exactly 3 occurrences.
Important Questions from Arrangement And Pattern (Notes)
- Select the correct alternative that indicates the arrangement of following units in a logical and meaningful order.
1. Scrutiny
2. Application
3. Interview
4. Job offer
5. Joining In which sequence should the following sentences be arranged to form a cohesive passage?
I. His parents encouraged him to try again.
II. He failed the mathematics test..
III. He studied hard for the next one.
IV. Eventually, he passed with good marks.
- Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
gfe_ig_eii_fei_gf_ii - If the digits in the number '758462139' are arranged in ascending order, then how many digits remain in the same place?
- Refer to the following letter series and answer the question. Counting to be done from left to right.
(Left) M M C R V I K Z J N L U W X W F O Y X F G(Right)
How many such consonants are there, each of which is immediately preceded by a vowel and also immediately followed by a vowel?
