Coded direction and Distance MCQ Quiz - Objective Question with Answer for Coded direction and Distance - Download Free PDF

Last updated on Jun 2, 2025

This is one of the important topics in Logical Reasoning that is generally asked in many competitive exam. In this, some direction and distance are given in the coded form. We have to decode it and solve the problems given related to it. First of all, try to decode the given problem. In these questions generally alphabets, numerical, characters, etc. are used for coding. Try to find out the code for each word. Read all the statements very carefully and try to make their pictorial view and then find their interrelation to make a single diagram. Then the same code/ pattern be applied to the question that has been asked

Latest Coded direction and Distance MCQ Objective Questions

Coded direction and Distance Question 1:

Mridul starts from Point A and drives 17 km towards the west. He then takes a left turn,
drives 15 km, turns left and drives 20 km. He then takes a left turn and drives 22 km. He takes a final left turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)

  1. 6 km to the south
  2. 7 km to the south
  3. 5 km to the south
  4. 8 km to the north

Answer (Detailed Solution Below)

Option 2 : 7 km to the south

Coded direction and Distance Question 1 Detailed Solution

Given: 

Mridul starts from Point A and drives 17 km towards the west.

He then takes a left turn drives 15 km, turns left and drives 20 km.

He then takes a left turn and drives 22 km.

He takes a final left turn, drives 3 km and stops at Point P.

qImage683548be05bd5a221ee85341

Thus, he should drive 7 km to the south  in order to reach Point A again.

Hence, the correct answer is "Option 2".

Coded direction and Distance Question 2:

Jimmy starts from point A and drives 6 km towards the South. He then takes two simultaneous left turns and drives 4 km and 6 km, respectively. He then takes a final right turn and drives 4 km to reach point B. How far (shortest distance) and towards which direction should he drive to reach Point A again? (All turns are 90 degrees only unless specified.)

  1. 6 km West
  2. 4 km west
  3. 6 km South
  4. 8 km West

Answer (Detailed Solution Below)

Option 4 : 8 km West

Coded direction and Distance Question 2 Detailed Solution

Given, 

Jimmy starts from point A and drives 6 km towards the South.

He then takes two simultaneous left turns and drives 4 km and 6 km, respectively.

He then takes a final right turn and drives 4 km to reach point B.

qImage67c32f544f1f1792e74e853a

He should drive 8 km toward West to reach Point A again.

Hence the correct answer is Option 4.

Coded direction and Distance Question 3:

Raju and Radha start from same location. Raju trace 5 km east and then 6 km north-east. Radha trace 4 km south and then 4 km south-east. What is the shortest distance (in km) between Raju and Radha ?

  1. 10.80
  2. 12.80
  3. 13.45
  4. 16.28

Answer (Detailed Solution Below)

Option 2 : 12.80

Coded direction and Distance Question 3 Detailed Solution

This question has been officially deleted by the Board.

Coded direction and Distance Question 4:

P, Q, R and S start from the same point to walk around in a circular path, in the same direction, around a garden whose circumference is one kilometre. P walks 5 km an hour, Q walks 4 km an hour, R walks 7 km an hour and S walks 11 km an hour. How long will it take all four to meet again at the starting point?

  1. 3 hours 
  2. 2 hours
  3. 1 hour
  4. 4 hours

Answer (Detailed Solution Below)

Option 3 : 1 hour

Coded direction and Distance Question 4 Detailed Solution

Time taken by P to complete one round =

Time taken by Q to complete one round =

Time taken by R to complete one round =

Time taken by S to complete one round =

L.C.M. of the frequency of P, Q, R and S = L.C.M. of (, ) = 1 hour

Thus, P, Q ,R and S will meet again at the same point for the first time after 1 hour.

Coded direction and Distance Question 5:

Comprehension:

Direction: In the following questions, symbols are used with the following meaning as illustrated below. Study the following information and answer the given questions.

P @ Q → P is either 6 meters north of Q or 6 meters south of Q. 

P % Q → P is either 8 meters east of Q or 8 meters west of Q.

P & Q → Q is 4 meters east of P. 

P # Q → P is 3 meters north of Q. 

P * Q → P is south west Q.

P $ Q → P is north east of Q. 

Note: 

1. Point A,B, and F form a vertical straight line. 

2. No two points overlap each other. 

Given Expression: A@B, B&C, C%D, D#E, E&F, F%R and R$A. 

Which of the following statements are true?

Statement I: If Z%D, then Z is to the west of B. 

Statement II: The distance between E and F is less than the distance between E and R. 

Statement III: More than two given points are to the north west of F. 

  1. Only Statement I
  2. Both Statements II and III
  3. All three statements
  4. Both Statements I and II
  5. Only Statement III

Answer (Detailed Solution Below)

Option 4 : Both Statements I and II

Coded direction and Distance Question 5 Detailed Solution

The given expression is: A@B, B&C, C%D, D#E, E&F, F%R and R$A. 

From the given coded statements, we get the following:

A @ B → A is either 6 meters north of B or 6 meters south of B. 

B & C → C is 4 meters east of B. 

C % D → C is either 8 meters east of D or 8 meters west of D.

D # E → D is 3 meters north of E.

E & F →  F is 4 meters east of E.

F % R → F is either 8 meters east of R or 8 meters west of R.

R $ A → R is north east of A.

Based on the above conditions, we get the direction diagram as follows:

F1 SouravSSs Junior Assistant 1 3 25 D68

Now, from the above direction diagram, we check the correctness of the given statements as follows:

Statement I: If Z%D, then Z is to the west of B. → This statement is true. (Z is 8 meters to the west of D as two points cannot overlap. So, Z is to the west of D and B.)

Statement II: The distance between E and F is less than the distance between E and R. → This statement is true. (The distance between E and F is 4 meters and E and R is 12 meters.)

Statement III: More than two given points are to the north west of F. → This statement is false. (Only one point is located to the north west of F.)

Hence, both the statements I and II are true. 

Top Coded direction and Distance MCQ Objective Questions

'P$Q' means 'P is to the north of Q'.

'P&Q' means 'P is to the east of Q'.

'P*Q' means 'Q is to the west of P'.

'P%Q' means 'Q is to the south of P'.

'P@QR' means 'P stands exactly in the middle of horizontal line QR'.

'P!QR' means 'P stands exactly in the middle of vertical line QR'.

Note: 'P6m$Q' means 'P is 6 m to the north of Q' and so on.

Find the shortest distance between G and C in the following expression. 

C12m$S5m*G3m&J6m%K!JT 

  1. 15 m
  2. 12 m
  3. 10 m
  4. 13 m

Answer (Detailed Solution Below)

Option 4 : 13 m

Coded direction and Distance Question 6 Detailed Solution

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Let us first decode the given data:

Code $ & * % P@QR P!QR
Meaning North East West South  'P stands exactly in the middle of horizontal line QR 'P stands exactly in the middle of vertical line QR

Given: C12m$S5m*G3m&J6m%K!JT 

According to the Pythagoras theorem,

(Hypotenuse)2 = Base2 + Height2

⇒ CS is Height = (12)2

⇒ GS is the Base = (5)2

⇒ GC is the Hypotenuse = ?

Therefore,

⇒ (GC)2 = (GS)2 + (CS)2 

⇒ (GC)2 = (5)2 + (12)2

⇒ (GC)2 = 25 + 144

⇒ (GC)2 = 169

⇒ GC = 169

⇒ GC = 13

Hence, the correct answer is "13 m".

Arjun is facing towards the south. From there, he walks 15 m towards the east, then 20 m towards the north, then 15 m towards the east and then 20 m towards the north to reach point B. what is the shortest distance between his starting point and point B?

  1. 50 m
  2. 70 m
  3. 25 m
  4. 60 m

Answer (Detailed Solution Below)

Option 1 : 50 m

Coded direction and Distance Question 7 Detailed Solution

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Directions:-

quesImage2094

Here, A is the starting point and B is the end point.

F1 Prashant Shraddha 22.10.2020 D11

AB = √ 30 × 30 + 40 × 40 

AB = √ 900 + 1600

AB = √ 2500

AB = 50

Thus, the correct answer is 50 m.

Sandhya and Vanita are facing East direction Sandhya turns 45° Anticlockwise and then in 135° Clockwise direction. With how much turn or rotation Sandhya will be facing in opposite direction to Vanita.

  1. 180° CW 
  2. 180° ACW 
  3. 270° ACW
  4. 270° CW

Answer (Detailed Solution Below)

Option 3 : 270° ACW

Coded direction and Distance Question 8 Detailed Solution

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Sandhya and Vanita are facing East direction

F1 Antesh Shraddha 17.09.2020 D3

Sandhya turns 45° Anticlockwise

F1 Antesh Shraddha 17.09.2020 D1

Sandhya turns 45° Anticlockwise and then in 135° Clockwise direction. 

F1 Antesh Shraddha 17.09.2020 D2

Sandhya will be facing in opposite direction to Vanita on rotation n 270° Anticlockwise direction.

F1 Antesh Shraddha 17.09.2020 D5

Hence 270° ACW is the correct answer.

If A × B means A is to be south of B; A + B means A is to the north of B; A% B means A is to the east of B; A – B means A is to the west of B: then in P% Q + R S, S is in which direction with respect to Q?

  1. South-west
  2. South-east
  3. North-west
  4. North-east

Answer (Detailed Solution Below)

Option 2 : South-east

Coded direction and Distance Question 9 Detailed Solution

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Given conditions:

61e3fc20405e46cb8bf3e8db 16452996833691

Given expression: P % Q + R  S

Statements: P is to the east of Q. Q is in the north of R. R is in the west of S.

The possible direction diagram is as shown below:

F4 Prashant Madhuri 24.02.2022 D13

S is in the South-east direction of Q.

Hence, 'South-east' is the correct answer.

AT 9 pm, the hour hand faces north, Which direction will the minute hand face at 6.30 am?

  1. North
  2. East
  3. West
  4. South

Answer (Detailed Solution Below)

Option 3 : West

Coded direction and Distance Question 10 Detailed Solution

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According to the question,

602bc4c766113bf825b1968d 16436259392561

At 6:30 am, the minute hand will be at 6.

Thus, at 6:30 am the minute hand will face West.

Hamid started from his home and moved straight 3 km. Then he turned to his right and moved 2 km. Again he turned to his left and moved further 2 km. After this, he turned 90 degrees clockwise and started moving straight towards South. He reached a point X after 3 km. What is the direction of Hamid’s home with respect to point X?

  1. North-west
  2. South
  3. North
  4. South-east

Answer (Detailed Solution Below)

Option 1 : North-west

Coded direction and Distance Question 11 Detailed Solution

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For this question, Direction diagram is shown below-

F1 Rohit Ravi 19.10.21 D34

Here, Direction of Starting Point from Point X is North-West as shown.

Hence, Option (1) is correct.

If P @ Q means Q is 20 meters to the south of P and P * Q means Q is 20 meters to the left of P, then in which direction of Z is X situated if X * Y @ Z holds true?

  1. North
  2. North - East
  3. North West
  4. South

Answer (Detailed Solution Below)

Option 2 : North - East

Coded direction and Distance Question 12 Detailed Solution

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Calculation:

 The phrase "in which direction of Z is X situated" means "the location of X with respect to Z".

Given:

1. P @ Q → Q is 20 meters to the south of P.

2. P * Q → Q is 20 meters to the left of P.

Then, the possible diagram for X * Y @ Z will be:

F29 Prashant TTP 10-6-2021 Swati D17

Therefore, X is to the North - East of Z.

Hence, the correct answer is "North East".

Latika and her friend are seated at a restaurant facing each other. Latika is facing west. The waiter comes to take the order and stands at 90° to the right of Latika. In which direction is the waiter facing?

  1. South 
  2. North
  3. West
  4. East

Answer (Detailed Solution Below)

Option 1 : South 

Coded direction and Distance Question 13 Detailed Solution

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According to the given information,

Group D 16 October Shift 2 Trupti 26Qs Reviewed hiteshree D1

Latika is facing west and waiter stands at 90° to the right of Latika and facing her. So the waiter is facing the south direction as shown in the diagram.

Hence, “South” is the correct answer.

If A × B means that A is to the south of B; A + B means A is to the north of B, A % B means A is to the east of B, A - B means A is to the west of B, then P % Q + R - S Means in which direction S is with respect to Q:

  1. South-west
  2. South-east
  3. North-east
  4. North

Answer (Detailed Solution Below)

Option 2 : South-east

Coded direction and Distance Question 14 Detailed Solution

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According to the given information, we make a table for the given relations:

A is

Symbol

+ - ×  %

Meaning

North West South East

Of B

 

 

 

 

 

So, P % Q + R - S

P % Q → P is to the east of Q

Q + R → Q is to the north of R

R - S  → R is to the west of S

F5 Savita State Govt. 9-9-22 D19

So, direction of S with respect to Q is South-east.

Hence, the correct answer is "South - East"

Mohan is at the railway station of a certain district. He wants to reach the nearest bus stand. He walked 120 m towards the east, took a right turn and walked another 100 m. He then took a left turn and walked 30 m. Again, he took a left turn and walked 140 m, where he met his friend and had a conversation. From there, he, finally took a left turn and walked 150 m to reach the bus stand. How far and in which direction is the bus stand from the railway station?

  1. 40 m, North-East
  2. 40 m, South 
  3. 140 m, North
  4. 40 m, North

Answer (Detailed Solution Below)

Option 4 : 40 m, North

Coded direction and Distance Question 15 Detailed Solution

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Explanation:

According to the given information:
  •  He walked 120 m towards the east, took a right turn and walked another 100 m.
  • He then took a left turn and walked 30 m.
  • Again, he took a left turn and walked 140 m.
  • From there, he, finally took a left turn and walked 150 m to reach the bus stand

​Thus, the following diagram can be drawn :

qImage15153

 

 He is 40 m far and in the north direction is the bus stand from the railway station

Hence, "Option 4" is the correct answer.

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