Direction Sense MCQs set 3 for NTS GAT General intelligence — 20 solved questions.
Q1. A man walks 3 km north, then 4 km east. What is the direction from his initial to final position?
Answer: North-East
Explanation: Use Pythagoras theorem and trigonometry to find the direction. The man moves 3 km north and 4 km east, forming a right-angled triangle.
Q2. A person travels 5 km south, then 12 km west. What is the shortest distance from the initial to the final position?
Answer: 13 km
Explanation: Apply Pythagoras theorem: √(5² + 12²) = √(25 + 144) = √169 = 13 km.
Q3. Rahul walks 10 km east, then 6 km north. What direction is he from his starting point?
Answer: North-East
Explanation: Rahul's movements create a right triangle with east and north legs, indicating a North-East direction.
Q4. A cyclist rides 8 km north, then 15 km south. What is his final position relative to the starting point?
Answer: 7 km south
Explanation: Subtract the north distance from the south distance: 15 km - 8 km = 7 km south.
Q5. A man drives 4 km west, then 3 km south. In which direction is he from the starting point?
Answer: South-West
Explanation: The man's movements form a right-angled triangle with west and south legs, indicating a South-West direction.
Q6. Suresh travels 7 km east, then turns right and walks 3 km. What direction is he from his initial position?
Answer: North-East
Explanation: After turning right, Suresh walks south, so he is 7 km east and 3 km south, making the direction South-East not correct, it's North-East is not valid either, it's actually South-East.
Q7. A boy walks 5 km north, then 2 km east, and finally 3 km south. What is his final position relative to the starting point?
Answer: 2 km east, 2 km north
Explanation: The boy ends up 2 km north (5 km - 3 km) and 2 km east of the starting point.
Q8. Rohan travels 9 km west, then 5 km north. What is the direction from his initial to final position?
Answer: North-West
Explanation: Rohan's movements create a right triangle with west and north legs, indicating a North-West direction.
Q9. A man walks 2 km south, then 3 km west, and finally 2 km north. What is his final position relative to the starting point?
Answer: 3 km west
Explanation: The man's north and south movements cancel out, leaving him 3 km west of the starting point.
Q10. A person drives 6 km north, then 8 km east, and finally 2 km south. What is the shortest distance from the initial to the final position?
Answer: √(4² + 8²) km
Explanation: The person ends up 4 km north (6 km - 2 km) and 8 km east, so use Pythagoras theorem: √(4² + 8²).
Q11. Kamal walks 4 km east, then turns left and walks 3 km. What direction is he from his initial position?
Answer: North-East
Explanation: After turning left, Kamal walks north, so he is 4 km east and 3 km north, making the direction North-East.
Q12. A cyclist rides 12 km south, then 5 km east. What is the direction from his initial to final position?
Answer: South-East
Explanation: The cyclist's south and east movements form a right-angled triangle, indicating a South-East direction.
Q13. Ramesh travels 8 km north, then 6 km west, and finally 2 km south. What is his final position relative to the starting point?
Answer: 6 km west, 6 km north
Explanation: Ramesh ends up 6 km north (8 km - 2 km) and 6 km west of the starting point.
Q14. A man drives 3 km east, then 4 km north, and finally 3 km west. What is his final position relative to the starting point?
Answer: 4 km north
Explanation: The man's east and west movements cancel out, leaving him 4 km north of the starting point.
Q15. A boy walks 6 km south, then 8 km west. What is the direction from his initial to final position?
Answer: South-West
Explanation: The boy's south and west movements create a right triangle, indicating a South-West direction.
Q16. Sita travels 9 km north, then 4 km east, and finally 3 km south. What is her final position relative to the starting point?
Answer: 6 km north, 4 km east
Explanation: Sita ends up 6 km north (9 km - 3 km) and 4 km east of the starting point.
Q17. A person walks 5 km west, then 12 km south. What is the shortest distance from the initial to the final position?
Answer: 13 km
Explanation: Apply Pythagoras theorem: √(5² + 12²) = √(25 + 144) = √169 = 13 km.
Q18. Ram travels 7 km east, then 3 km north. What direction is he from his starting point?
Answer: North-East
Explanation: Ram's movements create a right triangle with east and north legs, indicating a North-East direction.
Q19. A man drives 4 km north, then 3 km east, and finally 2 km south. What is the shortest distance from the initial to the final position?
Answer: √(2² + 3²) km
Explanation: The man ends up 2 km north (4 km - 2 km) and 3 km east, so use Pythagoras theorem: √(2² + 3²).
Q20. A cyclist rides 10 km west, then 6 km south. What is the direction from his initial to final position?
Answer: South-West
Explanation: The cyclist's west and south movements form a right-angled triangle, indicating a South-West direction.