Question 1

Priya walks 12 km North from point A. She then turns left and walks 9 km. Next, she turns right and walks 8 km. Finally, she turns left and walks 7 km. How far is Priya from point A in the North-South direction?

Accepted Answer

This question tests the ability to calculate net displacement in one direction (North-South) while ignoring perpendicular movements.

Question 2

Vikram walks 15 km North from his office. He then turns left and walks 8 km. After that, he turns right and walks 6 km. Finally, he turns left and walks 3 km. How far is Vikram from his office in the East-West direction?

Accepted Answer

This question tests the ability to isolate and sum movements along a single axis (East-West) while ignoring perpendicular movements.

Question 3

Priya walks 5 km towards the East from point P. She then turns left and walks 3 km. Next, she turns right and walks 2 km. Finally, she turns left and walks 4 km. What is her final position relative to point P?

Accepted Answer

This question tests sequential direction tracking with alternating left and right turns, requiring careful coordinate updates.

Question 4

Rajesh starts from point A facing North. He walks 8 km, then turns right and walks 6 km. After that, he turns left and walks 4 km. In which direction is Rajesh now facing, and how far is he from point A?

Accepted Answer

This question tests the ability to track direction changes and calculate final displacement using the Pythagorean theorem after multiple turns.

Question 5

Ravi starts walking towards North. He walks 5 km, then turns right and walks 3 km, then turns right again and walks 5 km. In which direction is he now facing?

Accepted Answer

Step 1: Ravi starts facing North and walks 5 km. Step 2: He turns right (from North, right turn → now facing East) and walks 3 km. Step 3: He turns right again (from East, right turn → now facing South) and walks 5 km. After the final turn and walk, he is facing South.

Question 6

Amit starts at point Q facing South. He walks 10 km, then turns right and walks 8 km. After that, he turns right again and walks 6 km. What is his final direction, and how many km is he from point Q?

Accepted Answer

This question tests direction tracking when starting from a non-North direction and executing consecutive right turns.

Question 7

Meera starts at point P facing South. She walks 7 km, turns right, walks 4 km, turns right again, and walks 9 km. In which direction is she now facing, and what is her total displacement from point P?

Accepted Answer

This question tests the ability to track final direction after multiple right turns and calculate straight-line distance from the starting point.

Question 8

Arun starts at point X facing East. He walks 10 km, then turns 90° clockwise and walks 5 km. He then turns 90° counter-clockwise and walks 6 km. What is his final position relative to point X?

Accepted Answer

This question tests understanding of clockwise and counter-clockwise turns and their effect on direction, using degree-based rotation language.

Question 9

Rajesh starts from his home facing North. He walks 8 km straight, then turns right and walks 6 km. After that, he turns left and walks 4 km. Finally, he turns right and walks 5 km. In which direction is Rajesh now facing, and how far is he from his starting point in the East-West direction?

Accepted Answer

This question tests the ability to track direction changes through multiple turns and calculate displacement in a specific axis.

Question 10

Vikram starts at point P facing North. He walks 4 km, turns left, walks 3 km, turns right, walks 2 km, and turns left again. In which direction is Vikram now facing, and what is his total displacement from point P?

Accepted Answer

Tests combined direction tracking and displacement calculation using coordinate geometry.

Question 11

Amit starts at point A facing South. He walks 12 km, turns left, walks 9 km, turns right, and walks 6 km. How far is Amit from point A (in km)?

Accepted Answer

Tests calculation of total displacement using Pythagorean theorem after multi-directional movement.

Question 12

Priya starts at point P facing Southwest. She walks 10 km forward, then turns 90° clockwise and walks 8 km. Next, she turns 90° counterclockwise and walks 6 km. What is her final direction with respect to point P?

Accepted Answer

This question tests understanding of diagonal directions (Southwest) and the ability to track direction changes using clockwise/counterclockwise turns rather than simple left/right.

Question 13

Vikram starts at point V facing South. He walks 10 km, then turns left and walks 6 km. He then turns right and walks 9 km. After this, he turns left and walks 5 km. Finally, he turns right and walks 4 km to reach point W. What is the straight-line distance between points V and W?

Accepted Answer

This question tests displacement calculation when starting from a non-North direction (South), requiring careful coordinate system management.

Question 14

Rajesh starts from point A facing North. He walks 8 km, then turns right and walks 6 km. After that, he turns left and walks 4 km. Finally, he turns right and walks 3 km to reach point B. In which direction is point B with respect to point A, and what is the straight-line distance between them?

Accepted Answer

This is a multi-turn direction and distance problem requiring coordinate tracking. Students must maintain accurate position after each turn and calculate final displacement using the Pythagorean theorem.

Question 15

Rajesh starts from point A facing North. He walks 8 km, then turns right and walks 6 km. After that, he turns left and walks 4 km. Finally, he turns right and walks 5 km to reach point B. In which direction is point B with respect to point A, and what is the straight-line distance between them?

Accepted Answer

This question tests the ability to track position changes through multiple directional turns and calculate final displacement using coordinate geometry.

Question 16

Ravi starts from point A, walks 8 km towards the North, then turns right and walks 6 km, then turns right again and walks 8 km. How far is he from point A, and in which direction?

Accepted Answer

Step 1: Ravi walks 8 km North from A. Step 2: Turns right (now facing East), walks 6 km East. Step 3: Turns right again (now facing South), walks 8 km South. After step 3, his North-South displacement = 8 km North - 8 km South = 0 km. His East-West displacement = 6 km East. So he is exactly 6 km East of point A.

Question 17

Sneha starts at point M facing North-East. She walks 10√2 km forward, then turns 45° clockwise and walks 8 km. What is the straight-line distance from M to her final position?

Accepted Answer

This question combines diagonal directions with non-90° turns and requires decomposition of movements into cardinal components.

Question 18

Amit starts at point X facing East. He walks 12 km, then turns left and walks 9 km. He turns left again and walks 12 km. Finally, he turns right and walks 8 km to reach point Y. How far is point Y from point X?

Accepted Answer

This question tests cumulative displacement calculation with multiple left and right turns, requiring careful coordinate tracking.

Question 19

Arun starts from point X facing East. He walks 12 km, then turns left and walks 9 km. He turns right and walks 7 km. Finally, he turns left and walks 5 km to reach point Y. How far is point Y from point X in a straight line?

Accepted Answer

This question tests coordinate-based displacement calculation after multiple left/right turns, requiring careful tracking of position changes.

Question 20

Meera starts at point M facing North. She walks 6 km, turns right and walks 8 km. She then turns left and walks 5 km. After that, she turns right and walks 3 km, then turns left and walks 4 km to reach point N. In which direction is point N from point M?

Accepted Answer

This question tests directional tracking through multiple alternating left and right turns, requiring careful attention to the cumulative effect of turns.

KVS PGT Direction & Distance

Direction & Distance— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Direction & Distance — Practice Questions

60-Second Revision — Direction & Distance