Examkin

Question

Difficulty: EasyOrder and Ranking

In a class merit list, Rahul is ranked 15th15^{\text{th}} from the top and 21st21^{\text{st}} from the bottom. What is the total number of students in the class?

Answer: 35 students

Answer

The total number of students in the class is 3535.
When the position of a single person is given from both ends of a line, the total count is calculated using the formula Total=Position from Left/Top+Position from Right/Bottom−1\text{Total} = \text{Position from Left/Top} + \text{Position from Right/Bottom} - 1. Substituting the values gives 15+21−1=3515 + 21 - 1 = 35.

Step-by-Step Solution

1
Identify the given ranks from both ends for the same person.
Rank from top = 15, Rank from bottom = 21.
The position of Rahul is provided relative to both the start and end of the queue.
2
Apply the single-person dual rank total calculation formula.
Total=Ranktop+Rankbottom−1\text{Total} = \text{Rank}_{\text{top}} + \text{Rank}_{\text{bottom}} - 1
Since Rahul is included in both rank counts, adding the ranks counts him twice, requiring a subtraction of 1.
3
Perform the computation.
15+21−1=3515 + 21 - 1 = 35
Simplifying the arithmetic yields the exact total headcount of the class.

Key Concept

Single-Person Dual Rank Total Calculation
Rate this question

Topics

Order and Ranking

More questions from this topic