MAT Exam 2025 Paper

Concept:In a linear queue, the position from one end is related to the total number of persons and the position from the other end.Explanation:Let the total number of persons in the queue be $N$.Sudesh is $6$th from the end, so his position from the front is $N - 6 + 1 = N - 5$.After interchanging, Arun gets Sudesh’s original position.Arun is now $13$th from the front, so $N - 5 = 13$.Therefore, the total number of persons is $N = 18$.After the interchange, Sudesh gets Arun’s original position, which is $5$th from the front.Position from the end is calculated as: $N - \text{position from front} + 1$.So, Sudesh’s position from the end after the interchange is $18 - 5 + 1 = 14$.Thus, Sudesh is $14$th from the end after the interchange.Answer:Sudesh is $14$th from the end. Correct option: C. 14th.