Level 1
Direction Sense MCQs set 2 for LUMS LCAT intelligence — 20 solved questions.
Q1. Rahul starts walking towards the south. He walks for 5 km, then turns right and walks for 3 km. In which direction is he now?
Answer: South-East
Explanation: Rahul initially walks south, then turns right and walks west. So, he is south-east of the starting point, using relative direction logic.
Q2. Sita walks 4 km towards the east, then turns left and walks 3 km. What is the direction of her final position relative to the starting point?
Answer: North-East
Explanation: Sita walks east, then turns left and walks north. So, she is north-east of the starting point, using vector addition.
Q3. A man walks 5 km towards the north, then turns left and walks 4 km. In which direction is he now?
Answer: North-West
Explanation: The man walks north, then turns left and walks west. So, he is north-west of the starting point, applying direction change rules.
Q4. A person walks 3 km south, then 4 km west. What is the shortest distance from the starting point?
Answer: 5 km
Explanation: Using Pythagoras' theorem, the shortest distance = √(3² + 4²) = √(9 + 16) = √25 = 5 km.
Q5. A boy walks 2 km east, then 3 km north. In which direction should he walk to return to the starting point?
Answer: South-West
Explanation: The boy is north-east of the starting point. To return, he should walk south-west, using relative direction.
Q6. Rohan walks 4 km north, then turns right and walks 3 km. What is his final direction?
Answer: North-East
Explanation: Rohan walks north, then turns right and walks east. So, he is north-east, applying direction change.
Q7. A girl walks 5 km west, then turns left and walks 3 km. In which direction is she now?
Answer: South
Explanation: The girl walks west, then turns left and walks south. So, she is south, using simple direction change.
Q8. A man walks 3 km east, then 4 km north, then 2 km west. What is his final position relative to the starting point?
Answer: North-East
Explanation: The man's net eastward movement = 3 - 2 = 1 km, and northward = 4 km. So, he is north-east, using vector addition.
Q9. Suresh walks 5 km south, then turns right and walks 3 km. What is his direction now?
Answer: South-East
Explanation: Suresh walks south, then turns right and walks west. So, he is south-west is incorrect, he is actually south-west if he turned left, using direction change rules.
Q10. A person walks 4 km north, then 3 km east. What is the shortest distance to return to the starting point?
Answer: 5 km
Explanation: Using Pythagoras' theorem, the shortest distance = √(4² + 3²) = √(16 + 9) = √25 = 5 km.
Q11. Ramu walks 2 km north, then 2 km east, then 2 km south. What is his final direction relative to the starting point?
Answer: East
Explanation: Ramu's net northward movement = 2 - 2 = 0 km, and eastward = 2 km. So, he is east, using vector addition.
Q12. A boy walks 3 km south, then 4 km east. In which direction should he walk to return to the starting point?
Answer: North-West
Explanation: The boy is south-east of the starting point. To return, he should walk north-west, using relative direction.
Q13. A girl walks 4 km west, then 3 km north. What is her direction relative to the starting point?
Answer: North-West
Explanation: The girl walks west, then north. So, she is north-west, using vector addition.
Q14. A man walks 5 km north, then 4 km south. What is his final position relative to the starting point?
Answer: 1 km North
Explanation: The man's net northward movement = 5 - 4 = 1 km. So, he is 1 km north, using simple subtraction.
Q15. Sita walks 3 km east, then turns left and walks 2 km. What is her final direction?
Answer: North
Explanation: Sita walks east, then turns left and walks north. So, she is north-east, applying direction change rules.
Q16. Rohan walks 2 km south, then 3 km west. What is the shortest distance to return to the starting point?
Answer: 3.6 km
Explanation: Using Pythagoras' theorem, the shortest distance = √(2² + 3²) = √(4 + 9) = √13 = 3.6 km.
Q17. A person walks 4 km north, then turns right and walks 3 km. What is his final direction?
Answer: North-East
Explanation: The person walks north, then turns right and walks east. So, he is north-east, using direction change rules.
Q18. A boy walks 5 km east, then 2 km north, then 3 km west. What is his final direction relative to the starting point?
Answer: North-East
Explanation: The boy's net eastward movement = 5 - 3 = 2 km, and northward = 2 km. So, he is north-east, using vector addition.
Q19. A girl walks 3 km south, then 4 km west, then 3 km north. What is her final direction relative to the starting point?
Answer: West
Explanation: The girl's net southward movement = 3 - 3 = 0 km, and westward = 4 km. So, she is west, using vector addition.
Q20. A man walks 2 km north, then 2 km east, then 1 km south. What is his final direction relative to the starting point?
Answer: North-East
Explanation: The man's net northward movement = 2 - 1 = 1 km, and eastward = 2 km. So, he is north-east, using vector addition.