Question 1

Direction sense: Find M's direction from K on a compass grid.  Given: K is 40 m to the South-West of L. Also: M is 40 m to the South-East of L. Question: In which direction is M located with respect to K? Choose the correct option.

Accepted Answer

Given data K is 40 m South-West of L. M is 40 m South-East of L. Concept/Approach Place L at the origin. Take East = +x and North = +y. South-West is (−, −) from L; South-East is (+, −). Only relative direction between K and M is asked. Step-by-step K ≈ (−40, −40)M ≈ (+40, −40)Vector K→M = (80, 0) ⇒ due East. Common pitfall Projecting diagonals with √2 factors is unnecessary for direction; the sign pattern suffices. Final Answer East

Question 2

Relative positions of villages: Determine S's direction from R.  Facts: Q is to the North of P. R is to the East of Q. S is to the left of P (map-view; i.e., West of P). Question: In which direction is village S with respect to village R? Choose the…

Accepted Answer

Place points on a map Let P = (0,0).Q is North of P ⇒ Q = (0, +1).R is East of Q ⇒ R = (+1, +1).S is left of P (West) ⇒ S = (−1, 0). Direction from R to S Vector R→S = (−2, −1) ⇒ quadrant (−x, −y) = South-West. Final Answer South-West

Question 3

Sun–shadow reasoning (morning): Find Suresh's facing direction.  Scenario: One morning after sunrise, Suresh faced a pole. Observation: The pole's shadow fell exactly to Suresh's right. Question: Toward which direction was Suresh facing? Choose the …

Accepted Answer

Key idea In the morning, the Sun is in the East, so shadows are cast toward the West. Reasoning If Suresh sees the pole's shadow on his right, then West must be on his right-hand side. Facing South ⇒ right side is West (fits the observation). Checks Facing East ⇒ right is South (≠ West). Facing West ⇒ right is North (≠ West). Facing North ⇒ right is East (≠ West). Final Answer South

Question 4

Turn-by-turn path and final orientation: Determine Sundar's final facing direction.  Moves: 20 m East → right 10 m → right 9 m → right 5 m → left 12 m → right 6 m. All turns are 90° unless stated. Question: After completing all moves, in which direc…

Accepted Answer

Track headings Start toward East.Right of East ⇒ South.Right of South ⇒ West.Right of West ⇒ North.Left of North ⇒ West.Right of West ⇒ North. Final orientation North

Question 5

Grid navigation back-to-home: Minimum straight distance to return.  Path: From home, Ravi cycles 10 km South → right 5 km → right 10 km → left 10 km. Question: How many kilometers must he cycle in a straight line to reach home? Choose the correct va…

Accepted Answer

Coordinate setup Home = (0,0)10 km South ⇒ (0, −10)Right (from South) = West 5 ⇒ (−5, −10)Right (from West) = North 10 ⇒ (−5, 0)Left (from North) = West 10 ⇒ (−15, 0) Straight-line back to home Distance = |x| = 15 km.

Question 6

Direction after sequential turns: Identify X's final facing direction.  Path: Walk straight toward South for 5 m → turn left and walk 3 m → turn right and walk 5 m. Question: After the last move, which direction is X facing?

Accepted Answer

Track headings Initial heading: South.Left of South ⇒ East.Right of East ⇒ South. Final Answer South

Question 7

Distance from start after multiple orthogonal moves: Compute Shyam's displacement.  Moves: 5 km East → left 6 km (North) → right 9 km (East) → right 6 km (South). Question: What is his straight-line distance from the starting point?

Accepted Answer

Coordinates Start (0,0) → (5,0) → (5,6) → (14,6) → (14,0) Distance from start Δx = 14, Δy = 0 ⇒ distance = √(14²) = 14 km.

Question 8

Cardinal relation composition: Determine P's direction from Y.  Relations: Y is East of X; X is North of Z; P is South of Z. Question: In which direction of Y is P located? Select the correct option.

Accepted Answer

Map placement Let Z = (0,0).X North of Z ⇒ X = (0, +1).Y East of X ⇒ Y = (+1, +1).P South of Z ⇒ P = (0, −1). Direction from Y to P Vector = (−1, −2) ⇒ South-West, which is not among North/South/South-East.Hence: None of these.

Question 9

Shortest distance (Pythagoras): Golu's distance from home after two legs.  Path: From home, 8 km North, then 6 km West. Question: What is the straight-line (shortest) distance back to his house? Choose the correct value.

Accepted Answer

Right triangle Legs: 8 km (North) and 6 km (West).Distance = √(8² + 6²) = √(64 + 36) = √100 = 10 km.

Question 10

Direction after a 135° right turn: Determine the required compass direction.  Path: 25 m West → right 10 m (North) → right 15 m (East). Final instruction: Turn right by 135° and cover 30 m. Question: In which compass direction should P go for the la…

Accepted Answer

Heading before the last turn After the third leg, P is facing East. Apply the 135° right turn From East, a right (clockwise) 90° points South; an additional 45° points toward South-West. Conclusion The final leg should be in the South-West direction.

Question 11

Direction sense with morning shadows: determine Udai’s facing direction at a crossing  One morning, Udai and Vishal are standing face to face at a road crossing. Vishal's shadow is exactly to the left side of Udai. Using the fact that in the morning…

Accepted Answer

Given data Time: Morning ⇒ Sun in the East ⇒ Shadows fall toward the West. Udai and Vishal are face to face. Vishal's shadow is to Udai's left. Concept/Approach If shadows point West, then for Vishal's shadow to lie on Udai's left side, Udai's left must align with West. That happens when Udai is facing North (because when you face North, West is on your left). Verification Facing North ⇒ left = West. Shadow direction = West. Consistent. Final Answer North

Question 12

Path tracing with right/left turns: find final direction from the start  A man walks 5 km toward the South, then turns right and walks 3 km, then turns left and walks 5 km. From the starting place, identify his final direction. Choose the correct op…

Accepted Answer

Coordinate walk (East = +x, North = +y) Start (0,0) 5 km South → (0, −5) Right from South = West: 3 km → (−3, −5) Left from West = South: 5 km → (−3, −10) Direction from start Vector (−3, −10) lies in the South-West quadrant ⇒ South-West.

Question 13

Grid walk with four turns: determine the net direction from home  From his house, Lokesh goes 15 km North, then 10 km West, then 5 km South, and finally 10 km East. Relative to his house, in which direction is he now located? Choose the correct answ…

Accepted Answer

Compute net displacement North: +15, then South: −5 ⇒ Net North = 10 km. West: 10, then East: 10 ⇒ Net East/West = 0. Conclusion He is 10 km due North of the start.

Question 14

Rectangular path with left/right turns: find Jayant’s final position from X  Starting at point X, Jayant walks: 15 m West → left 20 m (South) → left 15 m (East) → right 12 m (South). How far and in which direction is Jayant from X at the end? Choose…

Accepted Answer

Step-by-step coordinates Start X = (0,0) 15 m West → (−15, 0) Left from West ⇒ South 20 → (−15, −20) Left from South ⇒ East 15 → (0, −20) Right from East ⇒ South 12 → (0, −32) Distance and direction From (0,0) to (0, −32) = 32 m, South.

Question 15

Perimeter plus diagonal: total distance run along room walls and a diagonal  A room measures length = 8 m and breadth = 6 m. A cat runs along all four walls (effectively the perimeter) and then along a room diagonal to catch a rat. Compute the total…

Accepted Answer

Given Perimeter of rectangle = 2(L + B) = 2(8 + 6) = 28 m. Diagonal = √(8² + 6²) = √(64 + 36) = √100 = 10 m. Total distance 28 + 10 = 38 m.

Question 16

Multi-leg city walk: find straight-line distance from start after four moves  A child goes 90 m East, turns right and goes 20 m (South), turns right and goes 30 m (West) to uncle's house, then goes 100 m North to meet his father. How far from the st…

Accepted Answer

Coordinates Start (0,0) → (90,0) → (90, −20) → (60, −20) → (60, 80) Pythagoras Distance = √(60² + 80²) = √(3600 + 6400) = √10000 = 100 m.

Question 17

Four-turn square path: compute final distance from the start  Sachin walks 20 km North, turns left and walks 40 km West, turns left and walks 20 km South, then turns left and walks another 20 km. How far is he from his starting position? Choose the …

Accepted Answer

Trace the path (0,0) → (0,20) → (−40,20) → (−40,0) → (−20,0) Distance from origin |Δ| = √((−20)² + 0²) = 20 km.

Question 18

I am facing east. I turn 100° in the clockwise direction and then 145° in the anti clock wise direction. Which direction am I facing now?

Accepted Answer

North east direction.

Question 19

I am facing West. I turn 45° in the clockwise direction and then 180° in the same direction and then 270° anti-clockwise. which direction am facing now?

Accepted Answer

North West ___ | ___East | South According to given Question, I am facing West. 45° + 180° - 270° = -45° Anticlockwise from initial position. Hence, the required direction is south - west.

Question 20

In which direction is he with respect to the starting point?

Accepted Answer

Southwest

Direction Sense Test Questions