Directions (18-21): Read the given information carefully and answer the related questions:
Six persons A, B, C, D, E and F stand in a row in the same order from right to left. Three of them face south and three face north direction. Consecutive distance between any two persons is 8m. They all start walking either in north or south direction, covering some certain distances, then reach their final positions.
A walks 14m in a certain direction and then turns right and walks 20m to reach his final position. C walks 10m in certain direction and then turns left and walks 6m to reach his final destination. E walks 6m in a certain direction and then turns left and walks 8m to reach his final position. F walks 8m in certain direction and then turns left and walks 22m to reach his final position. D walks 16m in a certain direction and then turns right and walks 6m to reach his final position. B walks 12m north and then turns left and walks certain meter to reach his final position which is in the south of D’s final position. C’s final destination is not in south-east of F’s final destination.
Who walks 2nd highest distance among all persons?
Correct Answer :
F
Solution :
The correct answer/option is F.
To determine who walks the 2nd highest distance, we need to calculate the total distance walked by each of the six persons (A, B, C, D, E, and F) from their starting positions to their final positions.
Let's analyze the distance walked by each person based on the given information:
1. Person A:
A walks 14m in a certain direction, turns right, and walks 20m.
Total distance walked by A = 14m + 20m = 34m.
2. Person B:
B walks 12m north and then turns left and walks a certain distance to reach his final position, which is in the south of D's final position.
To find B's total distance, let's establish the relative horizontal positions. The six persons A, B, C, D, E, F stand in a row in that order from right to left with a consecutive distance of 8m:
Starting order from right to left: A (0m), B (8m), C (16m), D (24m), E (32m), F (40m).
D's path: D starts at 24m, walks 16m (north or south), turns right, and walks 6m. Since D faces north or south, a right turn will take him either to the right (east) or left (west) relative to the row:
- If D starts facing North, walking 16m North and turning right (East) 6m puts D's final horizontal position at 24 - 6 = 18m.
- If D starts facing South, walking 16m South and turning right (West) 6m puts D's final horizontal position at 24 + 6 = 30m.
B starts at 8m, walks 12m North, and turns left (West). Since B faces North, a left turn is towards the West (towards F's side, increasing coordinate). B walks a certain distance to reach his final position, which is directly south of D's final position.
Thus, B's final horizontal position must match D's final horizontal position.
- Case 1: If D's final horizontal position is 18m (between B and C), B (starting at 8m) must walk West by 18 - 8 = 10m. This is a valid scenario since B turned left (West) after walking North.
- Case 2: If D's final horizontal position is 30m, B must walk West by 30 - 8 = 22m.
Let's check the constraint: "C's final destination is not in south-east of F's final destination."
Let's calculate F's final position: F starts at 40m, walks 8m in a certain direction, turns left, and walks 22m. Since F turns left, F's final horizontal position will be:
- If F starts North: walks 8m North, turns left (West, 22m). Final horizontal position = 40 + 22 = 62m.
- If F starts South: walks 8m South, turns left (East, 22m). Final horizontal position = 40 - 22 = 18m.
Let's calculate C's final position: C starts at 16m, walks 10m in a certain direction, turns left, and walks 6m.
- If C starts North: walks 10m North, turns left (West, 6m). Final horizontal position = 16 + 6 = 22m.
- If C starts South: walks 10m South, turns left (East, 6m). Final horizontal position = 16 - 6 = 10m.
Under standard configuration matching the constraints, the distance B turns left is either 10m or 22m.
Let's calculate the total distance walked by each person under these possibilities:
Let's check the total distance for each person explicitly based on the steps described:
- A's total distance: 14 + 20 = 34m
- C's total distance: 10 + 6 = 16m
- D's total distance: 16 + 6 = 22m
- E's total distance: 6 + 8 = 14m
- F's total distance: 8 + 22 = 30m
- B's total distance: 12 + X (where X is either 10m or 22m).
If B walks 10m after the turn: B's total distance = 12 + 10 = 22m.
If B walks 22m after the turn: B's total distance = 12 + 22 = 34m.
Comparing the distances in both cases:
- Case A (B = 22m): The distances are A (34m), F (30m), D (22m), B (22m), C (16m), E (14m). The highest is A (34m), and the second highest is F (30m).
- Case B (B = 34m): The distances are A (34m), B (34m), F (30m), D (22m), C (16m), E (14m). In this case, A and B share the highest distance (34m), and F (30m) is still the next highest (or 2nd highest unique/value rank).
In either valid logical configuration of the puzzle, F walks a total distance of 30m, which ranks as the 2nd highest distance among all persons.
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