Question : Directions: Aunt Gloria walked out of her house and walked 65 m towards the east. She took a left turn and walked 28 m. Again, she took a left turn and walked 110 m to reach a public library. How far (shortest distance) and in which direction is the library from Aunt Gloria’s house?
Option 1: 48 m, North-East
Option 2: 48 m, North-West
Option 3: 53 m, North-East
Option 4: 53 m, North-West
Correct Answer: 53 m, North-West
Solution : According to the given instructions the diagram is given below –
Now, find the direction and shortest distance between the house and the public library.
Here, AB = CD = 65 m; BC = AD = 28 m; CE = 110 m; DE = CE – CD = 110 – 65 = 45 m The distance (AE) between the house and the public library can be calculated using the Pythagoras Theorem – (AE)2 = (AD)2 + (DE)2 (AE)2 = (28)2 + (45)2 (AE)2 = 784 + 2025 (AE)2 = 2809 Squaring on both sides – AE = 53 So, the shortest distance is 53 m and the public library is in the north-west direction from the house. Hence, the fourth option is correct.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : Directions: Mohan is at the railway station of a certain district. He wants to reach the nearest bus stand. He walked 120 m towards the east, took a right turn, and walked another 100 m. He then took a left turn and walked 30 m. Again, he took a left turn and walked 140 m, where he met his friend and had a conversation. From there, he finally took a left turn and walked 150 m to reach the bus stand. How far and in which direction is the bus stand from the railway station?
Option 1: 40 m, East
Option 2: 40 m, South
Option 3: 140 m, North
Option 4: 40 m, North
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: From its nest, a bird flew 25 m towards the north-east. It then took a right turn and flew 7m. Again, it took a right turn and flew 75 m. In which direction is the bird now from its nest?
Option 1: North-East
Option 2: East
Option 3: South-West
Option 4: North-West
Question : Directions: Pooja drives 4 km towards the east from point A. She takes a right turn and drives 2 km. Then she takes a left turn and drives 3 km. Again, she turns left and drives 2 km to point B. How far and towards which direction should she drive now to reach point A again?
Option 1: 7 km towards west
Option 2: 4 km towards south
Option 3: 4 km towards east
Option 4: 5 km towards north
Question : Directions: Sona goes to a park every day for walking. One morning, she started walking from her home and walked 40 km towards the north. Then she turned to the right and walked 60 km. Again, she turned right and walked 40 km. Lastly, she took a left turn and walked 60 km. What is the direction of the home and how far is she from her home?
Option 1: East, 90 km
Option 2: West, 120 km
Option 3: West, 60 km
Option 4: East, 120 km
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile