Refer to the following 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) 5 2 4 7 8 5 7 3 1 5 4 9 2 1 3 4 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?
Appeared in: Bihar NHM CHO-2025
Explanation
The question requires identifying a specific three-digit pattern: an even number that has an odd number on both its immediate left and immediate right.
The pattern to search for is: Odd-Even-Odd.
Scanning the series reveals three such occurrences: '7 8 5', '5 4 9', and '9 2 1'.
The even digits that fit this condition are 8, 4, and 2.
Counting these occurrences gives a total of 3.
Why Other Options Were Wrong
Option A: A count of 4 is incorrect. This might result from misidentifying an even or odd number or incorrectly checking the preceding/following digits.
Option B: A count of 2 is incorrect. This indicates that one of the three valid patterns was missed during the scan of the number series.
Option C: A count of 1 is incorrect. This suggests that two of the three valid patterns were overlooked, possibly by stopping the search after finding the first match ('7 8 5').
Related Visual
Visual 1: Infographic: A visual representation of the number series with the three 'Odd-Even-Odd' patterns ('7 8 5', '5 4 9', '9 2 1') highlighted in different colors to make them stand out.
Clinical Relevance
Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning - Number Series Analysis as background academic context rather than a clinical decision trigger.
This question is not related to a clinical nursing topic. It assesses logical reasoning and attention to detail.
These skills are foundational for nurses who must accurately interpret data, follow multi-step protocols, and identify patterns in patient symptoms or vital signs.
What if the question asked for even digits followed by an odd digit? The answer would change. For example, '2' in '2 4 7' would not count, but '4' would. The count would be different, highlighting the need to read instructions precisely.
How to Approach the Question
First, understand the exact condition: you need to find an EVEN digit.
Second, understand the constraints on this even digit: it must be 'immediately preceded by an odd digit' AND 'immediately followed by an odd digit'.
This translates to a three-number sequence: ODD - EVEN - ODD.
Systematically scan the series from left to right. When you encounter an even number, pause and check the digit before it and the digit after it.
Keep a running count of every time the ODD-EVEN-ODD condition is met.
After checking all even numbers in the series, the final count is your answer.
Concept Tested & Keywords
Concept Tested: Logical Reasoning - Number Series Analysis
Stem keywords: number series, even digits, odd digit, immediately preceded, immediately followed
Lead-in keywords: How many
Question ID
QE2EXx31hhEIdVIOcuRaHy
Practise the full Bihar NHM CHO-2025
Attempt every question from this paper in a timed mock, then review the full solution for each one.