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Direction Sense Test Questions and Answers

Important Instructions
51.

Shyam goes 5 km. in the North from his school. Now, turning to the left, he goes to 10 km. and again turns to left and goes to 5 km. How far he is from his school and in which direction ?

Exam Year(s)

Tripura Public Service Commission - 2025,

Answer: C

Shyam is 10 km. West from school.

He walks 5 km north. Facing north, a left turn points him west, and he goes 10 km. Facing west, another left turn points him south, and he goes 5 km.

The 5 km south cancels the 5 km north, so he ends up directly west of the school, 10 km away. East would follow from right turns, and north or south would ignore that the two 5 km legs cancel.

Drawing the route on rough paper with north at the top is the safest way to solve direction questions.

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52.

A person starts from point A, walks 10 m north, turns right and walks 5 m, then turns right again and walks 10 m, and finally turns left and walks 5 m. How far and in which direction is the person from point A ?

Exam Year(s)

Tripura Public Service Commission - 2026,

Answer: C

The person is 10m East of point A.

Trace the walk: 10 m north; right turn means east, 5 m; right again means south, 10 m, back to the starting latitude; left turn from south means east, 5 m more.

The north and south legs cancel, and the two east legs add to 10 m, so the person ends 10 m due east of A. 5 m East counts only one of the eastward legs, and the West options take a left turn as west.

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53.

I am facing East ; I go 20 meters then turning to the left I go 20 meters, then after turning to the right I go 40 meters and then I go 40 meters to the right, now in which direction am I from my original position ?

Exam Year(s)

Tripura Public Service Commission - 2026,

Answer: B

The person ends up South-East of the start.

Starting facing east: 20 m east; turn left (north), 20 m; turn right (east again), 40 m; then turn right (south), 40 m.

East in total: \(20 + 40 = 60\) m. North-south: 20 m north, then 40 m south, leaving 20 m south. A point 60 m east and 20 m south of the start lies to the south-east. 'East' ignores the net southward movement, and the west options misread the turns.

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54.

Five trees A, B, C, D, E are situated close to each other. A is to the west of B, C is to the south of A, E is to the north of B and D is to the east of E. Then C is with respect to D in the direction

Exam Year(s)

Tripura Public Service Commission - 2019,

Answer: A

C is to the south-west of D.

Place B at the centre. A is west of B, and C is south of A, so C is to the south-west of B. E is north of B, and D is east of E, so D is to the north-east of B.

ED
AB
C

In this grid D is up and to the right of C, so C lies down and to the left of D: south-west. North-west would need C above D, and 'south-south' is not a direction.

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55.

One day A left home and cycled 10 km southwards, turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. How many kilometers A will have to cycle to reach his home straight ?

Exam Year(s)

Tripura Public Service Commission - 2019,

Answer: D

The answer is 15 km.

Put home at the origin, with east to the right and north up. A cycles 10 km south to (0, -10). Facing south, a right turn faces west: 5 km takes A to (-5, -10). Facing west, a right turn faces north: 10 km takes A to (-5, 0). Facing north, a left turn faces west: 10 km takes A to (-15, 0).

A is now on the same east-west line as home, 15 km to its west, so the straight ride home is 15 km due east. The distances 20, 25 and 27 km do not match the path.

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56.

A person travels 18 Km due East, then 15 Km due South, after that 15 Km due North and finally 12 Km due West. How far is he from the starting point ?

Exam Year(s)

Tripura Public Service Commission - 2013,

Answer: A

He is 6 Km from the starting point.

Combine the movements along each direction separately:

\[ \begin{aligned} \text{East-West} &: 18 - 12 = 6\ \text{km East} \\ \text{North-South} &: 15 - 15 = 0 \end{aligned} \]

The southward and northward legs cancel, so he ends 6 km due east of the start. 33 km and 60 km add up distances travelled instead of the displacement, and 12 km is the length of the westward leg alone.

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57.

Four boys A, B, C and D are standing in the same field. If B is at 6 metre North of A, C is at 3 metre East of B and D is at 5 metre West of A. Then the shortest distance between C and D is :

Exam Year(s)

UKPSC Lower PCS - 2025,

Answer: B

The shortest distance is 10 metre.

Put A at the origin. Then B = (0, 6), C = (3, 6) and D = (-5, 0). C is 8 m east of D and 6 m north of it.

\[ CD = \sqrt{8^{2} + 6^{2}} = \sqrt{100} = 10\ \text{m} \]

9 and 11 come from adding sides instead of using Pythagoras, and 8 is only the east-west separation.

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58.

Gaurav walks 20 metres toward North. He turns left and walks 40 metres. He again turns left and walks 20 metres. Further, he moves 20 metres after turning to the right. Now, how far is he from his starting place ?

Exam Year(s)

UKPSC Lower PCS - 2025,

Answer: D

He is 60 metres from the start.

Trace the walk on axes, starting at (0, 0).

  • 20 m north: (0, 20).
  • Left turn, now facing west; 40 m: (-40, 20).
  • Left turn, now facing south; 20 m: (-40, 0).
  • Right turn, now facing west; 20 m: (-60, 0).

He ends 60 m due west of the start. 20 m is only the last leg, and 40 or 50 m would come from turning the wrong way at the last step.

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59.

One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal's shadow was exactly to the left of Udai, which direction was Udai facing?

Answer: C

Correct answer: North

In the morning the sun is in the east, so every shadow points west. Vishal’s shadow therefore ran westward, and it lay to Udai’s left - so west was on Udai’s left hand, which puts him facing north.

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60.

A man is facing west. He turns 45 degree in the clockwise direction and then another 180 degree in the same direction and then 270 degree in the anticlockwise direction. Find which direction he is facing now ?

Answer: A

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Please refer to the explanation image. 
The man firstly faces the direction OA. On moving 45 degree clockwise[Please check carefully always if clockwise or anticlockwise], he faces the direction OB.
Now again he moved 180 degree clockwise, now he will be facing OC. From here he moved 270 degree anticlockwise, Finally he is facing OD, which is South west.

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