Question 1

Direction sense — Prerna's school relative to home From home, Prerna goes North, then turns left, then turns right, and finally turns left and reaches school. In which direction is the school from her home?

Accepted Answer

Introduction / Context:The task is to determine net bearing from the start after a sequence of orthogonal moves with unspecified distances.Given Data / Assumptions:Sequence of headings: North → West → North → West.Concept / Approach:Combine qualitative components: North + West displacements yield a northwest resultant from the origin.Step-by-Step Solution:1) Move North (some distance).2) Left to West (some distance).3) Right to North (some distance).4) Left to West and arrive at school.Net: Positive North and negative West components ⇒ North–West of home.Verification / Alternative check:Vector addition with arbitrary positive distances shows resultant quadrant is NW.Why Other Options Are Wrong:NE/SE/SW represent different component signs; only NW matches two West and two North segments.Common Pitfalls:Equating last facing (West) with relative position; question asks relative direction from home.Final Answer:North– West

Question 2

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

Accepted Answer

Introduction / Context:We must compute the net displacement direction after multiple turns and legs.Given Data / Assumptions:Path (x,y): West 10 → South 4 → East 4 → South 5 → East 6.Concept / Approach:Add components: West/East affect x; North/South affect y.Step-by-Step Solution:x: −10 + 0 + 4 + 0 + 6 = 0.y: 0 − 4 + 0 − 5 + 0 = −9.Net = (0, −9) ⇒ due South of start.Verification / Alternative check:Sketch shows the path ends directly below the origin.Why Other Options Are Wrong:North/East/West contradict the zero x and negative y result.Final Answer:South

Question 3

Direction sense — facing of C in a circular seating Five boys A, B, C, D, E sit on a circle. A faces South-West; D faces South-East. B and E are diametrically opposite A and D respectively. C is midway between D and B on the circle. Which direction …

Accepted Answer

Introduction / Context:This blends absolute compass facings with relative positions on a circle. Standard assumption: all face the center.Given Data / Assumptions:A faces SW ⇒ A sits at the NE point (facing center).D faces SE ⇒ D sits at the NW point.B opposite A ⇒ B sits at SW; E opposite D ⇒ E sits at SE.C is midway on the arc between D (NW) and B (SW), so C sits at due West.Concept / Approach:For a person facing the center, facing direction is toward the center from their seat position. A seat at West faces East.Step-by-Step Solution:1) Place A (NE), D (NW), B (SW), E (SE).2) Midpoint of arc NW→SW is West (C's seat).3) Facing center from West yields an Eastward facing.Verification / Alternative check:Draw a circle with cardinal and intercardinal points; the midpoint seat at West necessarily faces East.Why Other Options Are Wrong:North/South/West contradict the seat-to-center orientation at the West point.Common Pitfalls:Confusing seat location with facing, or assuming people face outwards (non-standard).Final Answer:East

Question 4

Direction sense — Shyam's facing after turning back Shyam faces East, walks 5 km, turns right and walks 3 km, turns right and walks 4 km, then turns back (180°). Which direction is he facing now?

Accepted Answer

Introduction / Context:Turning back reverses the current heading by 180°.Given Data / Assumptions:Headings: East → South → West → (turn back) East.Concept / Approach:Track heading after each turn; distances do not affect the final orientation.Step-by-Step Solution:Start East.Right → South.Right → West.Turn back (180°) → East.Final Answer:East

Question 5

Direction sense — Deepa's current moving direction Deepa starts North; turns right; after some distance turns left and walks 1 km; then turns left again. In which direction is she moving now?

Accepted Answer

Introduction / Context:A sequence of right/left turns from a known start heading.Given Data / Assumptions:Headings: North → right to East → left to North → left to West.Concept / Approach:Only the final heading matters for the answer.Step-by-Step Solution:Final orientation after the last left is West.Final Answer:West

Question 6

Direction sense — Raman's current direction in morning sun Raman starts in the morning facing the Sun, then turns left, and later turns left again. In which direction is he moving now?

Accepted Answer

Introduction / Context:Morning Sun implies initial facing East.Given Data / Assumptions:East → left to North → left to West.Concept / Approach:Two consecutive left turns rotate heading by 180°.Final Answer:West

Question 7

Direction sense — locating Gol Gumbaz relative to Bara Kaman via shadows Morning: shadow of Gol Gumbaz falls on Bara Kaman. Evening: shadow of Bara Kaman falls on Gol Gumbaz. Where is Gol Gumbaz with respect to Bara Kaman?

Accepted Answer

Introduction / Context:Shadow logic: morning (Sun in East) casts shadows to the West; evening (Sun in West) casts shadows to the East.Given Data / Assumptions:Morning: Gol Gumbaz's shadow falls on Bara Kaman ⇒ Bara Kaman is West of Gol Gumbaz.Evening: Bara Kaman's shadow falls on Gol Gumbaz ⇒ Gol Gumbaz is East of Bara Kaman.Concept / Approach:Consistent both times only if Gol Gumbaz lies to the East of Bara Kaman.Final Answer:Eastern side

Question 8

Direction sense — standing on head, face towards South If X stands on his head with face towards South, to which direction will his left hand point?

Accepted Answer

Introduction / Context:Inverting the body flips left/right relative to the ground, though they remain the same relative to the body.Given Data / Assumptions:Facing South when upright: left hand points East. On head (inverted), left/right swap in absolute bearings.Concept / Approach:Apply a 180° flip around a horizontal axis: East ↔ West for lateral reach.Final Answer:West

Question 9

Direction sense — standing on head, face towards North If A stands on his head with face towards North, in which direction will his left hand point?

Accepted Answer

Introduction / Context:Under inversion, lateral directions reverse in world coordinates.Given Data / Assumptions:Facing North upright: left hand points West. Inverted (on head): left hand points East.Final Answer:East

Question 10

Direction sense — right arm to South, find back direction I stand with my right hand extended sideways towards South. Towards which direction is my back?

Accepted Answer

Introduction / Context:Right hand points 90° clockwise from facing.Given Data / Assumptions:Right hand toward South implies facing East. Back is opposite to facing.Concept / Approach:Facing East ⇒ back towards West.Final Answer:West

Question 11

Direction sense — current moving direction after three legs A person moves 4 km West, turns right and moves 3 km (North), then turns right and moves 6 km. What direction is he moving now?

Accepted Answer

Introduction / Context:The question asks for the heading during the last leg.Given Data / Assumptions:West → right to North → right to East.Final Answer:East

Question 12

Direction sense — Lakshmi to school with mixed units Lakshmi walks 2 furlongs North from her house, turns left and walks 1 km, then turns left and reaches the school. Which direction is she facing now?

Accepted Answer

Introduction / Context:Units differ but only orientation matters.Given Data / Assumptions:North → left to West → left to South.Final Answer:South

Question 13

Direction sense — Kate's facing after two left turns Kate walks 4 km South, turns left and walks 8 km, turns left again and walks 8 km. She meets a friend coming opposite and they stop. Which direction is she facing?

Accepted Answer

Introduction / Context:Two left turns rotate heading by 180° from the initial direction.Given Data / Assumptions:South → left to East → left to North.Final Answer:North

Question 14

Direction sense — Ramesh's facing after three right turns Ramesh walks 2 km West, turns right and walks 3 km (North), turns right and walks 2 km (East), and finally turns right. Which direction is he facing?

Accepted Answer

Introduction / Context:Three right turns from West lead to South.Given Data / Assumptions:Headings: West → North → East → South.Final Answer:South

Question 15

A person starts from a point, walks 15 metres towards the East, then turns left and walks 10 metres, then turns right and continues walking. Toward which cardinal direction is the person facing now?

Accepted Answer

Introduction / Context:This is a classic direction-sense problem that checks whether you can mentally track turns and headings on a simple grid. You begin with an initial facing, then apply left/right rotations to determine the final direction.Given Data / Assumptions:Start facing East and walk 15 m.Turn left (from East) and walk 10 m.Turn right once more and continue. We only need the resulting facing, not distance.Cardinal directions follow the usual right-angle grid: North, East, South, West.Concept / Approach:Turning left or right changes facing by 90 degrees relative to the current heading. The path length after the final turn does not affect the heading itself. Keeping a small compass sketch in mind (or on paper) helps.Step-by-Step Solution:Initial facing: East.Left turn from East leads to North (first turn).Right turn from North leads to East (second turn).Verification / Alternative check:You can encode directions as ordered pairs or as a cycle (N → E → S → W). From East, a left turn goes to North; from North, a right turn returns to East.Why Other Options Are Wrong:North: This would be true only after the first turn, not after the second.South or West: These require additional turns not present in the description.Common Pitfalls:Confusing left/right with respect to the original start facing. Each turn is relative to the current direction.Final Answer:East

Question 16

A walks 3 km North, turns left and goes 2 km, turns left again and goes 3 km, then turns right and continues straight. In which direction is A now walking?

Accepted Answer

Introduction / Context:Direction-sense questions require tracking headings after a sequence of left/right turns. Your task is to find the person’s current direction, not position.Given Data / Assumptions:Go 3 km North.Turn left → face West; go 2 km.Turn left again → face South; go 3 km.Turn right and proceed; we only need the facing after this last turn.Concept / Approach:Each left/right turn is relative to the current facing. Draw a quick compass or note the order N-E-S-W to reason about rotations.Step-by-Step Solution:Start facing North.Left from North → West.Left from West → South.Right from South → West.Verification / Alternative check:Use a rotation table: Left turn is -90 degrees, right turn is +90 degrees relative to the current heading. Applying the sequence yields West at the end.Why Other Options Are Wrong:North or South would require different turn outcomes.East is the opposite of the final result here.Common Pitfalls:Mixing up left/right after multiple turns or assuming turns are from the original direction.Final Answer:West

Question 17

A girl walks 30 m North-West, then 30 m South-West, then 30 m South-East. She now turns toward her home (starting point). In which direction is she moving?

Accepted Answer

Introduction / Context:This problem uses diagonal moves (NW, SW, SE), which combine North/South and East/West components. The key is to decompose each diagonal step into orthogonal components and sum them to find the resultant displacement. The direction toward home is the direction opposite to her displacement vector.Given Data / Assumptions:Step 1: 30 m North–West (equal parts North and West).Step 2: 30 m South–West (equal parts South and West).Step 3: 30 m South–East (equal parts South and East).North and East are taken as positive axes; South and West as negative.Concept / Approach:Resolve each 30 m diagonal into components 30/√2 ≈ 21.21 m along each axis. Add signed components to find the total displacement (x, y). The direction toward home is the heading from the current point back to the origin, i.e., opposite of (x, y).Step-by-Step Solution:NW: x = -21.21, y = +21.21.SW: x = -21.21, y = -21.21.SE: x = +21.21, y = -21.21.Sum: x = -21.21, y = -21.21 (net South and West).Direction toward home is opposite: North–East.Verification / Alternative check:Create a quick sketch with three equal-length diagonals; you will see the endpoint lies in the South-West quadrant relative to start, so moving toward home must be North-East.Why Other Options Are Wrong:South–West and South–East point away from home given the net SW displacement.North–West does not reverse both components; only NE reverses both signs.Common Pitfalls:Forgetting that NW, SW, SE are 45° diagonals with equal magnitude components, or reversing axes when summing vectors.Final Answer:North–East

Question 18

Points on a grid: X is East of Y; Y is North of Z. P is East of Z. With respect to X, in which direction is P located?

Accepted Answer

Introduction / Context:This is a relative-position problem: you must visualize a simple coordinate layout and then compare two points. No distances are needed—only directions.Given Data / Assumptions:Place Z at the origin for convenience.Y is North of Z → Y above Z.X is East of Y → X to the right of Y.P is East of Z → P to the right of Z on the same horizontal line as Z.Concept / Approach:Assign coordinates: Z = (0,0), Y = (0,1), X = (1,1). Since P is East of Z on the same row, P = (1,0). Compare P relative to X: vector from X to P is (1,0) − (1,1) = (0, −1).Step-by-Step Solution:Choose an origin: Z at (0,0).Y at (0,1) (North of Z).X at (1,1) (East of Y).P at (1,0) (East of Z).From X to P: straight down → South.Verification / Alternative check:Sketch a 2×2 grid; the relationship is visually obvious: P is directly below X.Why Other Options Are Wrong:West or South-West would require P to be left of X, which it is not.South-East would require P to be right and below X; P is directly below.Common Pitfalls:Mixing “direction of P from X” with “direction of X from P.” Direction is not symmetric.Final Answer:South

Question 19

A man starts for office facing North. He turns left, then turns right, and then turns right again. In which direction is he finally facing?

Accepted Answer

Introduction / Context:The goal is to track the facing after a sequence of turns from an initial heading. Only the facing matters; the distances are irrelevant.Given Data / Assumptions:Initial facing: North.Sequence of turns: Left → Right → Right.Standard compass: N, E, S, W in clockwise order.Concept / Approach:Apply successive 90° rotations relative to the current heading, not the original one. A quick sketch or a mental compass cycle helps avoid errors.Step-by-Step Solution:From North, Left → West.From West, Right → North.From North, Right → East.Verification / Alternative check:Think of left as -90° and right as +90°. Starting at North, the net rotation is (-90 + 90 + 90) = +90° → East.Why Other Options Are Wrong:North: This would be true after two turns, not after the third.South or West do not match the computed rotation sequence.Common Pitfalls:Losing track after the second turn, or applying turns relative to the initial facing instead of the current one.Final Answer:East

Question 20

Early morning, a person faces the Sun (hence faces East). He turns right and walks 2 km, then turns right again and walks 3 km. Which direction is he facing now?

Accepted Answer

Introduction / Context:Because it is early morning, facing the Sun implies the initial heading is East. The rest is a sequence of right turns, after which we must determine the final facing.Given Data / Assumptions:Initial facing: East (Sunrise).First right turn → face South; walk 2 km.Second right turn → face West; walk 3 km.Only the final facing is required, not the endpoint.Concept / Approach:A right turn changes the heading by +90° each time relative to the current direction. Lengths do not affect the final facing.Step-by-Step Solution:East → (right) South.South → (right) West.Final facing: West.Verification / Alternative check:Using the cycle N → E → S → W, a right turn from East is South; another right leads to West.Why Other Options Are Wrong:North or South do not match the two right turns from East.North-East is a diagonal, not obtained by right-angle turns here.Common Pitfalls:Assuming the starting direction is North by default; here, the Sun clue fixes it to East.Final Answer:West

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