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

The direction and distance diagram of Rohini as per the given information:

The straight distance between home and the mall is OE.

In triangle ODE:

The Pythagoras theorem:

(OE)² = (OD)² + (DE)²

OD = (OA + AD) = (30 + 33) = 63 m

(OE)2 = (63)2 + (16)²

(OE)2 = 3969 + 256 =4225 m

OE = 65 m

Here, the shortest distance between the home and the mall is 65 meters.

Hence, the correct answer is "65 m".

Hence, she is in the north - east direction from the starting point.

Isha's movements:

Net displacement:

• East: 5 km - 9 km + 4 km = 0 km
• North: 7 km - 12 km = -5 km (or 5 km South)

To reach Point A from P:

• Distance: 5 km
• Direction: North

Isha should drive 5 km towards the North to reach Point A again.

Let's trace Ali's movements:

To find the shortest distance and direction from P to A:

• Net displacement in the East direction: 21 km - 23 km + 2 km = 0 km
• Net displacement in the North direction: -11 km + 12 km = 1 km

This means Point P is 1 km to the North of the East-West line passing through Point A.

Therefore, Ali should drive 1 km towards the South to reach Point A again.

Given:

Varun starts from Point A and drives 37 km towards the north. He then takes a right turn, drives 39 km, turns right and drives 40 km.

He then takes a right turn and drives 45 km. He takes a final right turn, drives 3 km and stops at Point P.

Thus, to reach point A Varun has to drive 6km to the east.

Hence, the correct answer is 'Option 1".

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

Before:

After interchanging direction: (New direction in squares)

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

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. 

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.

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.

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.