In a college fest, a treasure hunt was organised where in 16 objects numbered 1 through 16 were placed in various places of the college campus. All 16 objects are placed at the intersection of tracks that crisscross the campus. The treasure map of the objects is as follows and every participant has a copy of it. You can go from one object to the other only along the parallel tracks.Akash took part in the Treasure Hunt. Any object that he encounters is identified as a1 or a2 or…if it is the 1st or the 2nd or …object that he picked up. The last object is indicated as an and it means that Akash has managed to pick n objects.For instance if Akash’s sequence of objects identified in his hunt are: 14 – 4 – 7 – 15 – 10 it means a1 = 14, a2 = 4, a3= 7 and an= 10. In this case n = 5.Other rules of the treasure hunt make this also a game of chance. The rules are:(i) Akash has to pick a chit from a lot of 16 chits. The chit that he picks is his a1.(ii) When an object is encountered, it must be picked up. When it is picked up, that object disappears from the map of treasure hunt with the participant.(iii) After an object is picked up, Akash can change his direction of motion only once i.e., he has to either continue to move straight or turn 90 degrees either to the left or to the right. He is not allowed to reverse the direction of his motion.Question No 38.If Akash started from a1 = 8 and ended at an, then what is the absolute difference between the maximum and minimum possible value of n?

The question is asking for the absolute difference between the maximum and minimum possible number of objects Akash could have picked up, given that he started at object 8.

To find the maximum possible value of n, we need to find the longest path Akash could take from object 8. Since he can only change direction once and cannot reverse his direction, the longest path would involve him picking up all the objects along one set of parallel tracks, then turning 90 degrees and picking up all the objects along another set of parallel tracks. Without a visual of the map, it's impossible to give a specific number, but let's say for example that the maximum possible value of n is 12.

To find the minimum possible value of n, we need to find the shortest path Akash could take from object 8. This would involve him picking up the least number of objects before reaching an intersection where he can change direction, then picking up the least number of objects along another set of parallel tracks. Again, without a visual of the map, it's impossible to give a specific number, but let's say for example that the minimum possible value of n is 4.

The absolute difference between the maximum and minimum possible value of n would then be 12 - 4 = 8.

The question is asking for the absolute difference between the maximum and minimum possible number of objects Akash could have picked up, given that he started at object 8 (a1 = 8) and ended at an unknown object (an).

To answer this question, we need to consider the layout of the college campus and the rules of the treasure hunt. Unfortunately, the treasure map is not provided in the question, so we can't determine the exact paths Akash could have taken. However, we can make some general assumptions based on the rules.

1. Akash must pick up any object he encounters. This means that the minimum possible value of n is 1, as he could have picked up object 8 and then not encountered any other objects.

2. Akash can only change his direction of motion once after picking up an object. This means that the maximum possible value of n is 16, as he could have potentially picked up all the objects if he followed a path that allowed him to encounter all of them.

Therefore, the absolute difference between the maximum and minimum possible value of n is 16 - 1 = 15.

The question is asking for the absolute difference between the maximum and minimum possible number of objects Akash could have picked up, given that he started at object 8.

To find the maximum possible value of n, we need to find the longest path Akash could have taken from object 8. Since he can only change direction once and cannot reverse his direction, the longest path would involve him picking up all the objects along one track, changing direction once, and then picking up all the objects along another track.

To find the minimum possible value of n, we need to find the shortest path Akash could have taken from object 8. This would involve him picking up the least number of objects possible, which would be just the object he started at (object 8).

However, without a visual representation of the treasure map, it's impossible to determine the exact maximum and minimum possible values of n. Once these values are determined, the absolute difference between them can be calculated by subtracting the minimum value from the maximum value.