Anil starts from his house and walks 12 km towards the North to reach a bank. From the bank he turns to his right and walks 5 km to a park. From the park he turns to his right and walks 12 km to a temple. From the temple he turns to his right and walks 8 km to a mall. Match List-I with List-II.
| List-I (Position) | List-II (Distance and direction) | ||
|---|---|---|---|
| (A) | Park from the house | (I) | 5 km East |
| (B) | Temple from the house | (II) | 13 km South-East |
| (C) | Mall from the house | (III) | 3 km West |
| (D) | Temple from the bank | (IV) | 13 km North-East |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A)-(IV), (B)-(I), (C)-(III), (D)-(II)
Each right turn moves the facing direction one step clockwise: North → East → South → West. Take the house as the origin and find each place by its east and north distances.
Bank: 12 km North → 0 km east, 12 km north
Park: right turn, 5 km East → 5 km east, 12 km north
Temple: right turn, 12 km South → 5 km east, 0 km north
Mall: right turn, 8 km West → \(8-5=3\) km west, 0 km north
(A) Park from the house: 5 east, 12 north → \(\sqrt{5^2+12^2}=13\) km North-East → (IV)
(B) Temple from the house: 5 km East → (I)
(C) Mall from the house: 3 km West → (III)
(D) Temple from the bank: 5 east, 12 south → \(\sqrt{5^2+12^2}=13\) km South-East → (II)
So the matching is (A)-(IV), (B)-(I), (C)-(III), (D)-(II).
