Read the given information carefully and answer the questions given beside: (A…
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Read the given information carefully and answer the questions given beside: (A set of 2 questions)
Point M is 5 meters towards the North of Point L.
Point P is 10 meters towards the East of point M.
Point N is 6 meters towards the East of point L.
Point O is 11 meters towards the West of point N.
If a person walks 5 m towards the South from point P and then after taking a right turn, which of the following points would he reach first?
- A.
L
- B.
M
- C.
N
- D.
O
Attempted by 9 students.
Show answer & explanation
Correct answer: C
Key idea: convert the positions to coordinates and compare distances along the path.
Set L at (0, 0).
Then M is 5 m north of L → M = (0, 5).
P is 10 m east of M → P = (10, 5).
N is 6 m east of L → N = (6, 0).
O is 11 m west of N → O = (6 − 11, 0) = (−5, 0).
Now follow the described moves:
From P (10, 5) walk 5 m south → you arrive at (10, 0).
After taking a right turn while facing south you face west, so you move left along the line y = 0.
Distances from (10, 0) along the westward path: to N at (6, 0) is 4 m; to L at (0, 0) is 10 m; to O at (−5, 0) is 15 m.
Conclusion: The person reaches point N first, since N is the nearest point encountered when moving west from (10, 0).