The positions of the first and the sixth digit in the number 5109238674 are interchanged. Similarly the positions of the second and the seventh digit are interchanged and so on. Which of the following will be the third digit from the right end after the rearrangement?

1. A

   9

2. B

   0

3. C

   3

4. D

   6

Appeared in: HPSSC Staff Nurse - 2021

Explanation

• The original number is 5109238674.
• The rearrangement rule swaps the first five digits (at positions 1-5) with the last five digits (at positions 6-10) in their respective order.
• Following the swaps, the new number becomes 3867451092.
• Counting three places from the right end of the new number (2, 9, 0), the third digit is 0.

Why Other Options Were Wrong

• Option A: 9 is the second digit from the right end in the rearranged number, not the third.
• Option C: 3 is the first digit of the new number (the original sixth digit). This results from looking at the wrong end (the left side) of the rearranged number.
• Option D: 6 is the third digit from the left end in the new number. This is an error of counting from the left instead of the right.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Logical Reasoning: Positional Interchange as background academic context rather than a clinical decision trigger.
• This is a logical reasoning question designed to test analytical and problem-solving skills, which are essential for nurses.
• The ability to follow a sequence of steps accurately is a core nursing competency, for example, when preparing and administering medications or performing complex procedures.
• What if the question asked for the 4th digit from the left? In that case, the answer would be 7, which was the original 9th digit.

How to Approach the Question

• First, write down the original number and its positions: 5(1) 1(2) 0(3) 9(4) 2(5) 3(6) 8(7) 6(8) 7(9) 4(10).
• Identify the swapping rule: the digit at position 'i' swaps with the digit at position 'i+5' for i=1 to 5.
• Systematically perform the swaps to form the new number. The first five digits (51092) move to the end, and the last five digits (38674) move to the beginning.
• The new number is 3867451092.
• Finally, identify the digit that is third from the right end of this new number by counting from right to left.
• Alternatively, use the shortcut: The 3rd digit from the right is the 8th digit overall. The new 8th digit was the original (8-5) = 3rd digit. The original 3rd digit is 0.

Concept Tested & Keywords

• Concept Tested: Logical Reasoning: Positional Interchange
• Stem keywords: digit, number, interchanged, rearrangement, third digit from the right end
• Lead-in keywords: Which of the following will be

Question ID

QUVTgL1RPQZB6YxG6N0uBr

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