Question:

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?

Updated On: Mar 28, 2025
  • 35

  • 36

  • 34
  • 33
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The Correct Option is A

Solution and Explanation

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.

The correct answer is Option 1.

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