Question : Directions: Ahmet’s house faces north. He came out of his house and walked straight for 40 m, turned left, and walked for 30 m. He then, turned right and walked for 35 m. Finally, he took another two successive right turns and covered 30 m and 25 m respectively, to reach his final destination. How far and in which direction is he from his house now?
Option 1: 25 m due south
Option 2: 50 m due north
Option 3: 15 m due north
Option 4: 25 m due east
Correct Answer: 50 m due north
Solution : First, we will draw the diagram, as per the given instructions –
Here, A is the starting point and F is the finishing point. AB = 40 m; CD = 35 m; EF = 25 m BF = CD – EF BF = 35 – 25 BF = 10 m Now, find the distance between his final position (F) and his house (A) – AF = AB + BF AF = 40 + 10 AF = 50 m
So, the distance between his final position and his house is 50 m, and he is in the north direction of his house. Hence, the second option is correct.
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Question : Directions: Diogo’s house faces west. He steps out of his house and walks 22 m straight. He then turns to his left and walks 20 m. He takes another left turn and walks 25 m. Finally, he turns left once again and walks further for 24 m to reach his school. How far is the school from his house and in which direction respect to his house?
Option 1: 5 m due north-east
Option 2: 7 m due north-east
Option 3: 5 m due north-west
Option 4: 25 m due south-east
Question : Directions: Mohan’s house faces south. He steps out of his house and goes straight for 30 m. From there, he takes two successive right turns and covers a distance of 6 m and 24 m, respectively. Finally, he takes a left turn and walks a distance of 2 m to reach a grocery shop. What is the shortest distance between his house and the grocery shop?
Option 1: 12 m
Option 2: 6 m
Option 3: 8 m
Option 4: 10 m
Question : Directions: Kartik walks 40 m straight from his home towards the North. Then, he turns left and walks 25 m. He turns left again and walks 15 m. Finally, he turns left and walks 25 m to reach Point X. What is the shortest distance between his home and Point X?
Option 1: 22 m
Option 2: 25 m
Option 3: 15 m
Option 4: 55 m
Question : Directions: Mr. A travelled from point X straight towards the east at a distance of 80 m. He turned to his right and walked 40 m. He again turned to his right and walked 80 m. He then turned his left and walked 20 m, then took a left and walked again 80 m. Now he turned towards his left and walked 60 m and stopped. How far and in which direction is he from the starting point X?
Option 1: 80 m towards the North
Option 2:
60 m towards the East
Option 3:
80 m towards the West
Option 4:
80 m towards the East
Question : Directions: Ratan walks 15 m towards the north and then turns right and walks 23 m. Then, he turns left and walks 16 m. After that, he turns left and walks 11 m. Then, he turns right and walks 17 m. Then, he turns left and walks 12 m. He finally turns right and walks 19 m. In which direction and how far is he now with reference to the starting point?
Option 1: South, 51 m
Option 2: North, 52 m
Option 3: North, 48 m
Option 4: North, 67 m
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