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Difficulty: EasyOrder and Ranking

During a corporate seminar, 60 employees are seated in a single straight row facing the stage. If David is seated in the 38th38^{\text{th}} position when counting from the left end of the row, what is his position when counting from the right end?

  1. A
    22nd22^{\text{nd}}
  2. 23rd23^{\text{rd}}Answer
  3. C
    24th24^{\text{th}}
  4. D
    38th38^{\text{th}}

Answer

23rd23^{\text{rd}}
To find a person's position from one end when the total and the position from the other end are known, use the formula: Position = Total - Known Position + 1. Here, 60 - 38 + 1 equals 23.

Step-by-Step Solution

1
Identify the total number of employees and David's position from the left.
Total = 60, Left position = 38.
These are the known variables needed for the ranking formula.
2
Apply the single-person dual rank formula to find the position from the right.
Right position = Total - Left position + 1.
Subtracting the left position removes everyone up to and including David. Adding 1 back includes David in the count from the right.
3
Calculate the final value.
60 - 38 + 1 = 22 + 1 = 23.
Basic arithmetic completion yields the correct rank.

Key Concept

Single-person dual rank calculation in a linear arrangement.
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Topics

Order and Ranking

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