Direction and Distance Turns MCQ Quiz - Objective Question with Answer for Direction and Distance Turns - Download Free PDF

The diagrammatic representation of the given information is as follows:

The distance between A and E are as follows:

Applying Pythagoras theorem:

AE² = (Vertical Distance between AE)² + (Horizontal Distance between AE)2 = 20² + 25²

AE² = 400 + 625 = 1025 = (25 × 41)

AE = 5√(41) km.

The shortest distance between A and E is 5√(41) km.

Hence, the correct answer is "5√(41)".

Given:

• Arjun walks South for 7 km.
• Turns Left, walks 3 km.
• Turns Left, walks 4 km.
• Turns Right, walks 2 km.
• Turns Right, walks 9 km.

Let's break down Arjun's movements and determine his final position relative to the starting point.

To find the distance from the starting point, we use the distance formula

Distance = √(5² + (-12)²)

= √(25 + 144) = √(169) = 13 km

He is 13 km from the starting point.

Hence, the correct answer is "Option 1".

Given:

Yogesh started walking towards East. After moving a distance of 2 km, he turned Southward and walked 5 km. Again he turned to East and walked 1 km. Finally he turned to the North and walked 9 km.

Using the Pythagoras Theorem,

the shortest distance between the starting and the final point = \(√(3^2+4^2 )\)
⇒ \(√25 \)

= 5 km

Thus, the shortest distance between the starting and the final point is 5 km.

Hence, the correct answer is "Option 3".

Given:

Four villages A, B, C and D lie in a straight line.

D is 10 kms from B. A is between D and C and distance of C from B is 2 kms, more than it is from D.

As, distance of C from B is 2 kms, more than it is from D then distance between C and B is 6km and from D and C is 4km.

Hence, the correct answer is "Option 2".

Given:

Mona walked 200 meters to the East. Then she took a right turn and walked 400 meters. Thereafter, she took a left turn and walked 200 meters

Thus, Mona is in the Southeast direction from her starting position.

Hence, the correct answer is "Option 3".

According to given conditions,

• Shweta starts walking from her office and walks 150 m towards the south.

• Then she turns right and walks 80 m.

• Then she turns left and walks 60 m.

• She finally turns left and walks 280 m to reach a bank.

Now, the shortest distance between Shweta's office and bank can be calculated by the pythagoras theorem :-

⇒ Here, x stands for shortest distance.

So, (x)² = (60 + 150)² + (280 - 80)²

⇒ (x)2 = (210)2 + (200)2

⇒ (x)2 = 44100 + 40000

⇒ (x)2 = 84100

⇒ x = 290 M

As per the given information;

Distance between initial and final point = √(20² + 15²)

= √(400 + 225)

= √625

= 25 km

Hence, "25 km, South East" is the correct answer.

As per the given information;

Distance between initial and final point = √(20² + 15²)

= √(400 + 225)

= √625

= 25 km

Hence, "25 km, South East" is the correct answer.

Given,

Mistake Points

Shubham's house faces North.

He leaves from the back gate of his house which means he starts the journey in the south direction.

Now,

He leaves from the back gate of his house it means he starts the journeying south direction and walks 14 m.

Then he turns left and walks 30 m.

Then he turns left and walks 50 m.

Then he turns left and walks 10 m.

He then turns left and walks 36 m.

Here, we see Shubham is 20 m away in East direction from his home.

The path followed by Katrina is :

The shortest distance between ice cream parlour and central park can be calculated using the Pythagoras theorem.

(Hypotenuse)² = (Base)² + (Height)²

= √(15)² + (30)²

= √225 + 900

= √1125

= 33.5

Hence, 33.5 m is the correct answer.

In the below diagram shortest distance between starting point x and point z denoted by point X and Z respectively.

Now, Triangle "XYZ" is a right-angled triangle, so using Pythagoras Theorem:

XZ² = XY² + YZ²

XZ2 = (20)2 + (25)2

XZ2 = 400 + 625

XZ2 = 1025

XZ2= √ 1025

XZ = 32.015

XZ is approximately equal to 32. 

The person's final position P is in the east with respect to point X. 

Thus the shortest distance is 32 m and the final direction is in the east with respect to the starting point.

Hence, the correct answer is "32 m, East".

Drawing the diagram according to the given information,

1. From his home, Mohan started his walk towards the east and walked 90 metres before turning towards his right.

2. He then walked 20 metres, turned right again and walked further 30 metres.

3. From there, he turned towards the north and walked further 100 metres to end his walk.

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Hence, the home is in "South-west " direction from his last position.

The path followed by Rashmi is :

Using Pythagoras theorem to get the shortest distance :

(Hypotenuse)² = (Base)² + (Height)²

Shortest distance between college and pastry shop = √((35)² + (15)²)

= √(1225 + 225)

= √(1450)

= 38.07 m ≈ 38 m

Shortest distance between house and pastry shop = √((35)2 + (15)2)

= √(1225 + 225)

= √(1450)

= 38.07 m ≈ 38 m

Shortest distance between college and house via pastry shop = 38 + 38 = 76 m

Hence, 76 m is the correct answer.

The direction distance diagram for the given statements is as:

Distance between home and final position is 11.

Therefore total distance of P is = 11 + 72 = 83 m

Hence, value of P is 83 m.

1) Fiza is facing Northeast and Daksh sits to the immediate left of Fiza. So, Daksh faces Southeast.

2) Daksh sits opposite Jatin. This implies that Jatin faces Northwest.

3) Similarly, Fiza sits opposite Naman. This implies that Naman is facing Southwest.

Note: In a board game If a person facing South indicates that he is sitting in the Northern direction and is facing toward the South.