Q: ‘A’ walks: start North, then left, left again, then right, again right, and once more left. After this sequence, which direction is ‘A’ walking?

Introduction / Context: This is a pure orientation trace with multiple relative turns, starting from North. Given Data / Assumptions: Start facing North. Sequence: Left → Left → Right → Right → Left. Concept / Approach: Apply the turns stepwise to the current facing and record the result after each. Step-by-Step Solution: North → Left = West.West → Left = South.South → Right = West.West → Right = North.North → Left = West.Final facing = West. Verification / Alternative check: Combine pairs: Left+Left from North is a 180° to South; Right+Right from South returns to North; one more Left yields West. Why Other Options Are Wrong: East/South/South-East do not match the final West orientation. Common Pitfalls: Losing track mid-sequence; writing down each intermediate helps. Final Answer: West

Q: A taxi driver drives 10 km North, turns left and drives 5 km (West), waits, then turns right and drives 10 km (North). Having covered 25 km total, in which direction is he now?

Introduction / Context: The query asks for the current facing after the last movement, not the position. Only turns matter for orientation. Given Data / Assumptions: Start: North. Left from North → West. Right from West → North. Concept / Approach: Track facing across turns; distances and waiting are irrelevant to orientation. Step-by-Step Solution: Initial heading North.After left: West.After right: North.Final facing: North. Verification / Alternative check: Left then right returns to the original heading. Why Other Options Are Wrong: East/West/South do not match the final orientation after the stated turns. Common Pitfalls: Confusing “direction now he may be” with location; here it refers to facing. Final Answer: North

Q: Walk 15 m North, then 10 m West, then 5 m South, then 10 m East. From the starting point, in which direction are you now located?

Introduction / Context: This is a straightforward net displacement computation with axis-aligned legs. The direction from the start is determined by the sign of the final y component. Given Data / Assumptions: North 15 → y = +15. West 10 → x = −10. South 5 → y = +10. East 10 → x = 0. Concept / Approach: Sum x and y components. The final point (0, 10) lies directly above the origin on the North line. Step-by-Step Solution: x: −10 + 10 = 0.y: +15 − 5 = +10.Direction from origin to final point: North. Verification / Alternative check: Sketch the path: you end vertically above the start. Why Other Options Are Wrong: East/West require x ≠ 0; South would need y < 0. Common Pitfalls: Answering with facing instead of location direction; the question asks for direction from the start. Final Answer: North

Q: Direction sense — moped rider's last heading A rider starts at a point, goes 4 km South, then turns left and rides 2 km (East), then turns right and rides 4 km. Towards which direction is he moving now?

Introduction / Context: This problem asks for the traveller's current heading (facing) after a short sequence of orthogonal moves and turns. Given Data / Assumptions: Start heading: South. Path: South 4 km → left (to East) 2 km → right (to South) 4 km. All turns are 90°. Concept / Approach: Track heading after each turn; distances do not affect the final facing—only the turn sequence does. Step-by-Step Solution: Start facing South.Left from South ⇒ face East.Right from East ⇒ face South.Final leg is toward South; therefore the current heading is South. Verification / Alternative check: Sketching a quick compass-box diagram (S→E→S) confirms the orientation. Why Other Options Are Wrong: North/East/West correspond to other headings not obtained after the final right turn. Common Pitfalls: Confusing final position with facing. The question asks “towards which direction is he moving now?”—that is, heading. Final Answer: South

Q: Direction sense — temple vs. railway station bearing From home, Mohan sees the rising Sun behind the temple and the setting Sun behind the railway station. What is the direction of the temple from the railway station?

Introduction / Context: The Sun rises in the East and sets in the West. An object's shadow appears opposite the Sun. Given Data / Assumptions: Rising Sun (East) is behind the temple as seen from home ⇒ temple lies to the East of home. Setting Sun (West) is behind the station as seen from home ⇒ station lies to the West of home. Concept / Approach: Place all three points on an East–West line with home in between: Station — Home — Temple. Step-by-Step Solution: Temple is East of home.Station is West of home.Direction of temple from station = from West to East ⇒ East. Verification / Alternative check: A quick number line model (−x = West, +x = East) yields the same result. Why Other Options Are Wrong: North/South are orthogonal and not implied; West is the opposite of the computed bearing. Final Answer: East

Q: Direction sense — Raghu's final bearing from start (multi-leg car trip) Raghu drives: 8 km North → 6 km East → 10 km to his right (South) → 4 km to his left (East) → 10 km North → 4 km to his right (East). In which direction is he now with respect t…

Introduction / Context: This problem requires summing displacements after a sequence of oriented turns to deduce the net direction from the origin. Given Data / Assumptions: Headings and legs in order: +N8, +E6, right from East ⇒ South 10, left from South ⇒ East 4, +N10, right from North ⇒ East 4. Concept / Approach: Resolve each leg into x (East +) and y (North +) components and add them. Step-by-Step Solution: x-total = 6 + 0 + 0 + 4 + 0 + 4 = 14.y-total = 8 + 0 − 10 + 0 + 10 + 0 = 8.Net vector (14, 8) lies in the North-East quadrant ⇒ direction = North-East. Verification / Alternative check: Scale drawing on grid confirms endpoint is to the East and North of the start. Why Other Options Are Wrong: South/South-East/North alone do not match simultaneous positive x and y displacement. Final Answer: North East

Q: Direction sense — Mani's current facing after two right turns Mani walks 3 km East, turns right and walks 2 km (South), then turns right again and continues. What direction is he now facing?

Introduction / Context: We are asked for orientation after sequential right turns. Given Data / Assumptions: East → right ⇒ South; South → right ⇒ West. Concept / Approach: Two right turns rotate the heading by 180°. Final Answer: West

Question 1

Roy: 2 km East, then 3 km North-West, then 5 km South, then 2 km West, then 6 km North. In which direction is he from the starting point?

Accepted Answer

Introduction / Context: With one diagonal leg (NW) and several axial legs, we compute the final coordinates and then infer the quadrant relative to the start. Given Data / Assumptions: Take East = +x, North = +y. NW of 3 km contributes (−3/√2, +3/√2) to (x, y). Concept / Approach: Sum all component vectors to get the final point and inspect signs of x and y to determine the direction. Step-by-Step Solution: Start (0,0) → after 2E: (2,0).+ 3NW ≈ (−2.121, +2.121) → (−0.121, 2.121).− 5S → (−0.121, −2.879).− 2W → (−2.121, −2.879).+ 6N → (−2.121, 3.121).x < 0 and y > 0 ⇒ North–West. Verification / Alternative check: A scaled sketch confirms the point lies up and left of the origin. Why Other Options Are Wrong: South-East/South-West/North-East do not match the (−x, +y) signs. Common Pitfalls: Dropping the diagonal components or treating NW as purely North or West. Final Answer: North – West

Question 2

Raju faces North and walks 30 m, turns left and walks 15 m, turns right and walks 50 m, then finally turns right and continues walking. In which direction is he heading now?

Accepted Answer

Introduction / Context: The task is to report the current facing after the final turn. Only the sequence of turns matters for orientation. Given Data / Assumptions: Start facing North. Left → West. Right → North. Right → East (final facing). Concept / Approach: Apply relative 90° rotations in order. Distances do not change facing. Step-by-Step Solution: North → (left) West.West → (right) North.North → (right) East. Verification / Alternative check: Left then two rights from North ends at East. Why Other Options Are Wrong: North/South/West are intermediate or opposite directions in the sequence. Common Pitfalls: Confusing the direction of travel with position; only facing is requested. Final Answer: East

Question 3

Raju is 100 m South-East of Ramu. Venu is 100 m South-West of Raju. Khader is 100 m North-West of Venu. Where is Khader’s home relative to Ramu’s?

Accepted Answer

Introduction / Context: We chain three equal diagonal displacements on an x–y plane and compare Khader’s final position to Ramu’s origin. Given Data / Assumptions: Take East = +x, North = +y. SE = ( +d/√2, −d/√2 ), SW = ( −d/√2, −d/√2 ), NW = ( −d/√2, +d/√2 ), where d = 100 m. Concept / Approach: Add vectors successively, starting from Ramu at (0,0). Step-by-Step Solution: Raju: ( +d/√2, −d/√2 ).Venu: add SW ⇒ ( 0, −2d/√2 ).Khader: add NW ⇒ ( −d/√2, −d/√2 ).x < 0, y < 0 ⇒ South-West of Ramu. Verification / Alternative check: A vector diagram with 45° arrows confirms the final point lies down-left from the origin. Why Other Options Are Wrong: SE/NW/North contradict the final components. Common Pitfalls: Treating diagonal moves as axial or forgetting the √2 components. Final Answer: South-West

Question 4

‘A’ walks: start North, then left, left again, then right, again right, and once more left. After this sequence, which direction is ‘A’ walking?

Accepted Answer

Introduction / Context: This is a pure orientation trace with multiple relative turns, starting from North. Given Data / Assumptions: Start facing North. Sequence: Left → Left → Right → Right → Left. Concept / Approach: Apply the turns stepwise to the current facing and record the result after each. Step-by-Step Solution: North → Left = West.West → Left = South.South → Right = West.West → Right = North.North → Left = West.Final facing = West. Verification / Alternative check: Combine pairs: Left+Left from North is a 180° to South; Right+Right from South returns to North; one more Left yields West. Why Other Options Are Wrong: East/South/South-East do not match the final West orientation. Common Pitfalls: Losing track mid-sequence; writing down each intermediate helps. Final Answer: West

Question 5

A taxi driver drives 10 km North, turns left and drives 5 km (West), waits, then turns right and drives 10 km (North). Having covered 25 km total, in which direction is he now?

Accepted Answer

Introduction / Context: The query asks for the current facing after the last movement, not the position. Only turns matter for orientation. Given Data / Assumptions: Start: North. Left from North → West. Right from West → North. Concept / Approach: Track facing across turns; distances and waiting are irrelevant to orientation. Step-by-Step Solution: Initial heading North.After left: West.After right: North.Final facing: North. Verification / Alternative check: Left then right returns to the original heading. Why Other Options Are Wrong: East/West/South do not match the final orientation after the stated turns. Common Pitfalls: Confusing “direction now he may be” with location; here it refers to facing. Final Answer: North

Question 6

Walk 15 m North, then 10 m West, then 5 m South, then 10 m East. From the starting point, in which direction are you now located?

Accepted Answer

Introduction / Context: This is a straightforward net displacement computation with axis-aligned legs. The direction from the start is determined by the sign of the final y component. Given Data / Assumptions: North 15 → y = +15. West 10 → x = −10. South 5 → y = +10. East 10 → x = 0. Concept / Approach: Sum x and y components. The final point (0, 10) lies directly above the origin on the North line. Step-by-Step Solution: x: −10 + 10 = 0.y: +15 − 5 = +10.Direction from origin to final point: North. Verification / Alternative check: Sketch the path: you end vertically above the start. Why Other Options Are Wrong: East/West require x ≠ 0; South would need y < 0. Common Pitfalls: Answering with facing instead of location direction; the question asks for direction from the start. Final Answer: North

Question 7

Direction sense — moped rider's last heading A rider starts at a point, goes 4 km South, then turns left and rides 2 km (East), then turns right and rides 4 km. Towards which direction is he moving now?

Accepted Answer

Introduction / Context: This problem asks for the traveller's current heading (facing) after a short sequence of orthogonal moves and turns. Given Data / Assumptions: Start heading: South. Path: South 4 km → left (to East) 2 km → right (to South) 4 km. All turns are 90°. Concept / Approach: Track heading after each turn; distances do not affect the final facing—only the turn sequence does. Step-by-Step Solution: Start facing South.Left from South ⇒ face East.Right from East ⇒ face South.Final leg is toward South; therefore the current heading is South. Verification / Alternative check: Sketching a quick compass-box diagram (S→E→S) confirms the orientation. Why Other Options Are Wrong: North/East/West correspond to other headings not obtained after the final right turn. Common Pitfalls: Confusing final position with facing. The question asks “towards which direction is he moving now?”—that is, heading. Final Answer: South

Question 8

Direction sense — temple vs. railway station bearing From home, Mohan sees the rising Sun behind the temple and the setting Sun behind the railway station. What is the direction of the temple from the railway station?

Accepted Answer

Introduction / Context: The Sun rises in the East and sets in the West. An object's shadow appears opposite the Sun. Given Data / Assumptions: Rising Sun (East) is behind the temple as seen from home ⇒ temple lies to the East of home. Setting Sun (West) is behind the station as seen from home ⇒ station lies to the West of home. Concept / Approach: Place all three points on an East–West line with home in between: Station — Home — Temple. Step-by-Step Solution: Temple is East of home.Station is West of home.Direction of temple from station = from West to East ⇒ East. Verification / Alternative check: A quick number line model (−x = West, +x = East) yields the same result. Why Other Options Are Wrong: North/South are orthogonal and not implied; West is the opposite of the computed bearing. Final Answer: East

Question 9

Direction sense — Raghu's final bearing from start (multi-leg car trip) Raghu drives: 8 km North → 6 km East → 10 km to his right (South) → 4 km to his left (East) → 10 km North → 4 km to his right (East). In which direction is he now with respect t…

Accepted Answer

Introduction / Context: This problem requires summing displacements after a sequence of oriented turns to deduce the net direction from the origin. Given Data / Assumptions: Headings and legs in order: +N8, +E6, right from East ⇒ South 10, left from South ⇒ East 4, +N10, right from North ⇒ East 4. Concept / Approach: Resolve each leg into x (East +) and y (North +) components and add them. Step-by-Step Solution: x-total = 6 + 0 + 0 + 4 + 0 + 4 = 14.y-total = 8 + 0 − 10 + 0 + 10 + 0 = 8.Net vector (14, 8) lies in the North-East quadrant ⇒ direction = North-East. Verification / Alternative check: Scale drawing on grid confirms endpoint is to the East and North of the start. Why Other Options Are Wrong: South/South-East/North alone do not match simultaneous positive x and y displacement. Final Answer: North East

Question 10

Direction sense — Mani's current facing after two right turns Mani walks 3 km East, turns right and walks 2 km (South), then turns right again and continues. What direction is he now facing?

Accepted Answer

Introduction / Context: We are asked for orientation after sequential right turns. Given Data / Assumptions: East → right ⇒ South; South → right ⇒ West. Concept / Approach: Two right turns rotate the heading by 180°. Final Answer: West

Question 11

Direction sense — Govind's present heading after multiple turns Govind: 25 m West → right 10 m (North) → left 10 m (West) → left 40 m (South) → left 5 m (East) → finally left (current heading?).

Accepted Answer

Introduction / Context: This asks for the final facing after a chain of left/right turns. Given Data / Assumptions: Headings progress: West → North → West → South → East → (left) ⇒ North. Concept / Approach: Apply 90° turns stepwise; distances don’t alter orientation. Final Answer: North

Question 12

Direction sense — tourist's net direction from start A tourist drives 10 km West, turns left 4 km (South), then East 4 km, turns right 5 km (South), then left 6 km (East). In which direction is he from the starting point?

Accepted Answer

Introduction / Context: Compute the net displacement vector to infer bearing from origin. Given Data / Assumptions: x: −10 + 0 + 4 + 0 + 6 = 0; y: 0 − 4 + 0 − 5 + 0 = −9. Concept / Approach: Zero x but negative y ⇒ due South of start. Final Answer: South

Question 13

Direction sense — Ramdev heads home From house, Ramdev goes 40 m South, left 10 m (East), then North 20 m. He now starts walking straight to his house. In which direction is he walking now?

Accepted Answer

Introduction / Context: We need the bearing of the vector from current point to origin (house). Given Data / Assumptions: Current coordinates (10, −20) relative to start; house at (0,0). Concept / Approach: Vector to house = (−10, +20) ⇒ negative x (West) and positive y (North) ⇒ North–West. Final Answer: North–West

Question 14

Direction sense — Reshma's current direction (back to rising Sun) Reshma begins with her back to the rising Sun (so she faces West), then turns left and walks, then turns right, then turns left again. In which direction is she going now?

Accepted Answer

Introduction / Context: “Back to the rising Sun” means the person initially faces West (since the Sun is in the East in the morning). Given Data / Assumptions: Facing West → left ⇒ South → right ⇒ West → left ⇒ South. Concept / Approach: Track headings only; unspecified distances do not change the result. Final Answer: South

Question 15

Direction sense — Raghu's bearing from start (variant) Raghu: 8 km North → 6 km East → right 10 km (South) → left 4 km (East) → 10 km North → right 4 km (East). In which direction is he now from the starting point?

Accepted Answer

Introduction / Context: Same vector sum as a prior item; compute net quadrant. Given Data / Assumptions: Net (x,y) = (14, 8) ⇒ North-East. Final Answer: North-East

Question 16

Direction sense — Raheja's relative direction from start Raheja: 3 km North → 4 km East → 2 km West → 3 km West. In which direction is he from the starting point?

Accepted Answer

Introduction / Context: Find bearing from origin after pure N/E/W moves. Given Data / Assumptions: Coordinates: (−1, 3) relative to start. Concept / Approach: Negative x and positive y imply North-West. Final Answer: North-West

Question 17

Direction sense — Sudhir: starting point relative to school Sudhir travels 5 km South → sharp left 10 km (East) → sharp left 5 km (North) and reaches the school. Which direction is his starting point from the school?

Accepted Answer

Introduction / Context: We need the direction of the vector from school to start. Given Data / Assumptions: Endpoint at (10, 0); origin at (0, 0). Concept / Approach: Vector from school to start = (−10, 0) ⇒ due West. Final Answer: West

Question 18

Direction sense — Shalu: distance and direction from origin Shalu: 30 m North → right 30 m (East) → right 55 m (South) → left 20 m (East) → left 25 m (North). How far and in which direction is she from the start?

Accepted Answer

Introduction / Context: Add components to find displacement. Given Data / Assumptions: x: 0→+30→+30→+50→+50; y: +30→+30→−25→−25→0 ⇒ endpoint (50, 0). Concept / Approach: Distance = 50 m; bearing = due East. Final Answer: 50 m East

Question 19

Direction sense — Rajan's facing at the moment of reaching K Rajan: 2 km East → right 3 km (South) → right 3 km (West) → right 1 km (North) → right 1 km (East) to K. In which direction was he walking when he reached?

Accepted Answer

Introduction / Context: The final instruction determines the current heading. Given Data / Assumptions: Last move after a right turn is 1 km East. Final Answer: East

Question 20

Direction sense — relative position of Ram's house to Govinda's Ram's house is to the South of Krishna's; Govinda's is to the East of Krishna's. What is the direction of Ram's house with respect to Govinda's?

Accepted Answer

Introduction / Context: Place all locations on perpendicular axes around Krishna's house. Given Data / Assumptions: Ram: (0, −); Govinda: (+, 0). Concept / Approach: Vector from Govinda to Ram = (−, −) ⇒ South-West. Final Answer: South-West

Direction Sense Test Questions