Rakesh is 17th from the right and Ankit is 15th from the left in a line of students. If they interchange their places, the position of Ankit becomes 19th from the left. How many students are there in the line?

Question

Thirty children are standing in a row facing North. If in this row Neelam is seventeenth from the left then what is the position of Neelam from the right?

Answer 1

To determine the total number of students, consider the following:

Initial Placements:

Rakesh was positioned 17th from the right end of the line.
Ankit was positioned 15th from the left end of the line.

Position Swap:

Following an exchange of positions, Ankit is now the 19th person from the left.

Calculation of Total Students:

When Ankit occupies Rakesh's initial spot, his new leftward rank is 19th.
At this same location, Rakesh's initial rank from the right was 17th.
The total number of students can be ascertained by combining Ankit's current leftward rank with Rakesh's original rightward rank, and subtracting one to avoid double-counting the person at that position.
Total students = (Ankit's current left position) + (Rakesh's original right position) - 1
Total students = 19 + 17 - 1
Total students = 36 - 1
Total students = 35

Consequently, there are 35 students in total within the line.

Rakesh is 17th from the right and Ankit is 15th from the left in a line of students. If they interchange their places, the position of Ankit becomes 19th from the left. How many students are there in the line?

The Correct Option is A

Solution and Explanation

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