Ordering And Ranking

Let's break down the problem step by step:

Initial Positions:

• Rakesh is 17th from the right.
• Ankit is 15th from the left.

Interchange:

• After they interchange, Ankit's position becomes 19th from the left.

Finding Total Students:

• When Ankit moves to Rakesh's original position, he becomes 19th from the left.
• At this same position, Rakesh was originally 17th from the right.
• Therefore, at the original position of Rakesh, now occupied by Ankit, the total number of students can be calculated.
• Total students = (Ankit's new left position) + (Rakesh's original right position) - 1
• Total students = 19 + 17 - 1
• Total students = 36 - 1
• Total students = 35

Therefore, there are 35 students in the line.

To solve the problem, we need to determine the seating arrangement of the five people based on the given clues and identify who sits in the middle.

1. Understanding the Concepts:

- Linear Arrangement: People are sitting in a straight line facing north, so left and right are taken from their own perspective.
- Immediate Right: Means just next to and on the right side.
- Position Constraints: We use the clues to gradually build the seating order.

2. Given Clues:

- A is to the immediate right of D.
- B is at one of the ends.
- C is sitting between E and A.

3. Step-by-Step Deduction:

Let’s try to fix the arrangement:

• Since A is immediately to the right of D, their positions must be: D, A
• C is between E and A. So the order should be: E, C, A
• Combine both clues: E, C, D, A is not possible, but E, C, A works if A is to the right of D
• Try this arrangement from left to right:
  1. B (at one end)
  2. D
  3. A
  4. C
  5. E
• This satisfies:
  • B is at one end
  • A is immediately right of D
  • C is between E and A (C is between A and E in reverse, but this still fits for 'between')

4. Identifying the Person in the Middle:

With the arrangement: B, D, A, C, E — the person exactly in the middle is A.

Final Answer:

The person sitting exactly in the middle is A.

Step 1: List the height relations
A B and A C
D B
E A and E C
Step 2: Arrange the order based on inequalities
From the above:
C E A B D
Step 3: Identify tallest
The tallest is C.