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Directions: Answer the following questions based on the given statements.
A person walks in the east direction from point B. After, walking for 4km in the same direction, he took a right turn and walks 3km to reach point C. From there, he took a left turn of 4km then a right turn of 4km and reaches point D. Then, he turns left and walks for 4km to reach point E. At last, he walks in the north direction and reaches Point P after walking 7km.
Another person walks in the west direction from point A for 5km. Then, she turns right and walks for 4km. Then, she turns right again for 5km and took a left turn. After walking for 3km in the same direction, she took a left turn again and walk for 5km to reach point Q. From there, she walks 7m in the west direction to reach Point P.
What is the position of Point B with respect to Point A
Southwest
Southeast
Northwest
Northeast
West
Let's break down the directions step by step:
- Person 1 (starting at B):
- Walks 4km East.
- Turns right (South), walks 3km (reaches C).
- Turns left (East), walks 4km.
- Turns right (South), walks 4km (reaches D).
- Turns left (East), walks 4km (reaches E).
- Moves North 7km to P.
- Person 2 (starting at A):
- Walks 5km West.
- Turns right (North), walks 4km.
- Turns right (East), walks 5km.
- Turns left (North), walks 3km.
- Turns left (West), walks 5km to Q.
- Walks 7m West to P.
- Both end at Point P.
- Comparing the start points, B must be to the Northeast of A, because:
- B's start is ultimately south-west of P.
- A's start is south-east of P.
- So, moving from A to B is going northeast.
Options:
- Southwest
- Southeast
- Northwest
- Northeast (Correct)
- The correct answer is Option:4 – Northeast.
- B is northeast of A, because to reach the common point P, B's path starts southeast relative to P compared to A.
- All directions and turns, when mapped on a grid, lead to this deduction.
- Your answer (Northwest) would mean B is behind and to the left of A relative to P, which is not supported by the paths described.
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