(Left) 1 3 5 7 5 5 7 4 5 8 9 5 4 4 5 5 4 5 7 7 6 5 7 6 (Right)
How many such odd digits are there, each of which is immediately preceded by an even digit and also immediately followed by an odd digit?
Identify Target Pattern
The objective is to count the occurrences of an odd digit within the series, which satisfies two conditions simultaneously: it must be immediately preceded by an even digit and immediately followed by an odd digit. This defines the specific sequence pattern we are looking for: Even-Odd-Odd (E-O-O).
Scan Series for E-O-O Pattern
The provided number series is: \(1 3 5 7 5 5 7 4 5 8 9 5 4 4 5 5 4 5 7 7 6 5 7 6\)
We examine consecutive triplets of digits to find the E-O-O pattern:
- \(... 4 5 8 ...\) : Pattern is E-O-E. The digit '5' is odd, preceded by even '4', but followed by even '8'. Fails condition.
- \(... 8 9 5 ...\) : Pattern is E-O-O. The digit '9' is odd, preceded by even '8', and followed by odd '5'. Match found (1).
- \(... 9 5 4 ...\) : Pattern is O-O-E. The digit '5' is odd, but preceded by odd '9'. Fails condition.
- \(... 4 5 5 ...\) : Pattern is E-O-O. The digit '5' is odd, preceded by even '4', and followed by odd '5'. Match found (2).
- \(... 5 5 4 ...\) : Pattern is O-O-E. The digit '5' is odd, but preceded by odd '5'. Fails condition.
- \(... 4 5 7 ...\) : Pattern is E-O-O. The digit '5' is odd, preceded by even '4', and followed by odd '7'. Match found (3).
- \(... 7 7 6 ...\) : Pattern is O-O-E. The digit '7' is odd, but preceded by odd '7'. Fails condition.
- \(... 6 5 7 ...\) : Pattern is E-O-O. The digit '5' is odd, preceded by even '6', and followed by odd '7'. Match found (4).
- \(... 5 7 6 ...\) : Pattern is O-O-E. The digit '7' is odd, but preceded by odd '5'. Fails condition.
Final Count
By systematically applying the E-O-O criteria, we identified 4 instances where an odd digit meets the conditions. The specific digits found were '9', '5', '5', and '5'.
Therefore, there are 4 such odd digits in the series.
Similar Questions
In the following series, one number is missing as shown by the question mark (?). Select the missing number form the given options.
8, 12, 16, 20, ?Select the number missing from the given series.
3, 12, __________, 21612- Select the number missing from the given number series.
4, 9, 20, 44, ? In the following series, one number is missing as shown by the question mark (?) select the missing number from the given options.
3, 8, 13, 18, ?Select the number missing from the given sequence.
1, 2, 6, ______, 120, 720Find the next two terms in the series.
J, L, O, S, ?, ?Find the next term in the series.
X, V, T, R, P, ?What will be next number in the series?
0, 1, 4, 27, 16, 125, 36, ?Choose the correct alternative which will complete the following series.
4, 8, 12, 24, 18, ?Choose the correct alternative which will complete the following series:
21, 55, 19, 45, 17, 35, ?
Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
15, 45, 75, 105, ?
Identify the number that does NOT belong to the following series.
18, 27, 35, 45, 54
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 41, 50, 66, ?
दिए गए विकल्पों में से वह संख्या चुनिए जो निम्नलिखित श्रृंखला में प्रश्नवाचक चिन्ह (?) को प्रतिस्थापित कर सके।
20, 21, 25, 34,?, 75
Select the correct option that will fill in the blank and complete the series.
45, 49, 58, 74, .........
