If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 72561348, what will be difference between the highest and lowest digits in the number thus formed?

1. A

   4

2. B

   2

3. C

   8

4. D

   6

Appeared in: NCL (Northern Coalfields Limited)-NO

Explanation

• The original number is 72561348.
• The rule is to add 1 to odd digits (7, 5, 1, 3) and subtract 2 from even digits (2, 6, 4, 8).
• Applying the rule gives the new digits: (7+1)=8, (2-2)=0, (5+1)=6, (6-2)=4, (1+1)=2, (3+1)=4, (4-2)=2, (8-2)=6.
• The new number formed is 80642426.
• The highest digit in the new number is 8, and the lowest digit is 0.
• The difference between the highest and lowest digits is 8 - 0 = 8.

Why Other Options Were Wrong

• Option A: This is incorrect. A difference of 4 might be obtained by incorrectly calculating the new digits or by misidentifying the highest and lowest digits.
• Option B: This is incorrect. A difference of 2 is too small and does not match the calculated difference of 8.
• Option D: This is incorrect. A difference of 6 might be obtained by mistakenly taking the highest digit as 6 and the lowest as 0 (6-0=6). However, the highest digit is 8.

Related Visual

• Visual 1: Flowchart - A flowchart showing the step-by-step process: Start with the number -> Check each digit (Odd/Even) -> Apply the corresponding operation (+1 or -2) -> Form the new number -> Find Max and Min digits -> Calculate the difference.

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning as background academic context rather than a clinical decision trigger.
• This type of logical reasoning question, while not directly clinical, assesses attention to detail, the ability to follow a multi-step process, and perform accurate calculations, which are essential skills for nurses in medication dosage calculations and interpreting patient data.
• What if? - If the rule was to subtract 1 from odd digits and add 2 to even digits, the new number would be 644802610. The highest digit would be 8 and the lowest would be 0. The difference would still be 8.

How to Approach the Question

• First, carefully read the question to understand the given number and the rules for transformation.
• Break down the problem into smaller steps: identify odd/even digits, apply the specific rule to each digit, and note down the new digits.
• Write down the original number (72561348) and process each digit one by one to avoid errors.
• For odd digits (7, 5, 1, 3), add 1. For even digits (2, 6, 4, 8), subtract 2.
• Construct the new number from the transformed digits: 80642426.
• Scan the new number to identify the single highest digit (8) and the single lowest digit (0).

Concept Tested & Keywords

• Concept Tested: Logical Reasoning
• Stem keywords: odd digit, even digit, difference, highest digit, lowest digit
• Lead-in keywords: what will be

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QESsNIEBTCtLHn51IPY_0U

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