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Question

Difficulty: EasyOrder and Ranking

In a vertical stack of passport applications, Amit's folder is placed 8th8^{\text{th}} from the top and 16th16^{\text{th}} from the bottom. What is the total number of passport applications in this stack?

  1. A
    22
  2. 23Answer
  3. C
    24
  4. D
    25

Answer

The total number of passport applications in the stack is 23.
To find the total number of items in a linear arrangement when one item's position is given from both ends, you add the two position numbers and subtract 1. Adding the top rank (8) and the bottom rank (16) gives 24. We must then subtract 1 because Amit's folder is included in both the '8' and the '16'. Therefore, 8+16−1=238 + 16 - 1 = 23.

Step-by-Step Solution

1
Identify the top and bottom rank of the specific item.
Top position = 8, Bottom position = 16.
Both positions of the same object are required to determine the overall length of the sequence.
2
Apply the dual rank formula for a single item: Total = Top + Bottom - 1.
8 + 16 - 1 = 23.
Subtracting 1 is necessary because Amit's folder is counted twice—once when counting from the top, and once when counting from the bottom.

Key Concept

Single-person dual rank total calculation
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Topics

Order and Ranking

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