Refer to the following number series and answer the question below. (Left) 12, 16, 19, 52, 22, 14, 15, 26, 44, 23, 25, 42, 35, 26, 22, 32, 14, 21, 29, 26, 35 (Right) If all odd numbers are removed from the above series and then the numbers are written in descending order, which number will appear at the tenth position to the left of the third position from the right?

1. A

   16

2. B

   44

3. C

   52

4. D

   22

Appeared in: NHM UP Staff Nurse-2023 shift 1st

Explanation

• The initial step is to filter the original series, keeping only the even numbers: 12, 16, 52, 22, 14, 26, 44, 42, 26, 22, 32, 14, 26.
• The next step is to sort this new series of 13 numbers in descending order: 52, 44, 42, 32, 26, 26, 26, 22, 22, 16, 14, 14, 12.
• The final step is to identify the correct position. The 'tenth position to the left of the third position from the right' is equivalent to the (10 + 3) = 13th position from the right.
• In a series with 13 numbers, the 13th position from the right is the same as the 1st position from the left.
• The number at the 1st position from the left in the sorted series is 52.

Why Other Options Were Wrong

• Option A: 16 is at the 10th position from the left, which is also the 4th position from the right in the final sorted series. This is not the required position.
• Option B: 44 is at the 2nd position from the left (or 12th from the right) in the final sorted series. This is not the required position.
• Option D: The number 22 appears at the 8th and 9th positions from the left (or 6th and 5th from the right). This is not the required position.

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Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain This question tests logical reasoning and the ability to follow a multi-step procedure involving number series manipulation and positional analysis as background academic context rather than a clinical decision trigger.
• While not a clinical question, this type of logical reasoning is essential in nursing for tasks that require precision and following multi-step protocols, such as calculating complex drug dosages, titrating IV drips, or managing timed procedures.
• The ability to meticulously track details and perform sequential operations without error is a core competency for ensuring patient safety.
• What if the question asked for the 'tenth position to the right of the third position from the left'? The 3rd number from the left is 42. Counting 10 positions to the right from there is impossible as there are not enough numbers. This highlights the importance of reading every word carefully.

How to Approach the Question

• First, carefully read the entire question to understand all the required operations and their sequence.
• Break the problem down into smaller, manageable steps: 1. Filter the numbers, 2. Sort the numbers, 3. Find the position.
• Execute the first step: Write down the original series and cross out or remove the odd numbers to create a new, shorter series.
• Execute the second step: Take the new series of even numbers and sort them in descending (largest to smallest) order.
• Execute the final step by carefully interpreting the positional language. 'X positions to the left of Y position from the right' means you should calculate the (X + Y)th position from the right.
• Locate the number at the calculated final position in your sorted list to find the answer.

Concept Tested & Keywords

• Concept Tested: This question tests logical reasoning and the ability to follow a multi-step procedure involving number series manipulation and positional analysis.
• Stem keywords: number series, odd numbers, descending order, position
• Lead-in keywords: which number

Question ID

QxAb1ezDrHSEiKWfYvXzt2

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