Direction and Distance MCQ Quiz - Objective Question with Answer for Direction and Distance - 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)".

Drawing diagram according to the given information,

Seema is facing south when she started from home.

Hence, “south” is the correct answer.

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:

Two friends A and B are standing opposite to each other at about 8 O’clock in the morning.

The shadow of A is exactly to his left side.

Thus, B is facing in the south direction.

Hence, "Option 1" is the correct answer.

Given:

A clock is so placed that at 6 pm, its hour hand points towards South-East. 

Then at 9 pm, the hour hand points towards:

Thus, at 9 pm the hour hand points towards south west.

Hence, "Option 3" is the correct answer.

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

According to the given direction, 

• A girl starts from a point P and walks 10 meters in the North-West direction and reaches the point Q

• She then turns to her left and walks 10 meters to a point R which is directly west ward to point P.

• She again turned to her left and walks 10 meters and reaches a point S which is directly southward to point Q.

• From the point S she turns towards point P and walks 10 meters.

So, the above directions make a "square" shaped as all the sides have equal length.

Hence, the shape of the geometrical figure PQRS is "square".

Mistake PointsSquares and rhombuses are parallelograms, in which opposing sides are equal and parallel. The primary difference is that a square has all equal sides and all equal angles (90 degrees), while a rhombus only requires that all sides are equal in length.

Therefore, if you have a shape that is a square and also looks like a rhombus, it is both! But it's probably most accurate to call it a square because that term gives more information about the shape – it tells you that all sides are equal and all angles are 90 degrees. For rhombus diagonals should be bisect each other. But from the question, we can not determine that. 

Before:

After interchanging direction: (New direction in squares)

Hence, South will be replaced by the North-west direction.

Gaurav exits from the backdoor of his north-facing house means Gaurav starts to walk south side.

Drawing the diagram according to the given information,

1. Gaurav walks south 25 m straight
2. then he takes a left turn and walks 36 m
3. then he turns left and walks 47 m.
4. He turns left again and walks 36 m.

• So, Gaurav is 22 km far and the North direction is from his house now

Hence, “22 m, North” is the correct answer.

If he sees his shadow in front of him in the morning, when the sun is in the east, he is facing in the west. So as you see the figure, he must start in the direction of the north so that he faces in the direction of his shadow.

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.

The path travelled by Anup is as shown below.

∴ Horizontal distance = 5 + 5 = 10 km

Hence, “10 Km” is the correct answer.

One morning, Chitrashi and Aryan sit facing each other.

• If the shadow of Aryan falls to the left of Chitrashi.

• Aryan is facing the South direction.

Hence, ‘South​’ is the correct answer.

According to the given information, we get the following figure, 

Hence, Point X is in north-west of point Y.

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.