All questions of Direction Sense for UGC NET Exam

B South

Answer:

Given Information:
- Rekha and Hema were talking face to face.
- Hema's shadow was exactly to the right of Hema.

Analysis:
To determine the direction Rekha was facing, we need to consider the position of the sun and the direction of the shadow. Since Hema's shadow is exactly to the right of her, it means that the sun is in the west and Hema is facing east. Now, we need to determine the direction Rekha is facing in relation to Hema.

Solution:
Since Rekha and Hema were facing each other, Rekha's left side would be in the same direction as Hema's right side. As Hema is facing east, her right side is towards the south. Therefore, Rekha would be facing in the opposite direction, which is south.

Conclusion:
Rekha was facing south.

Steps to Solve the Problem:

1. Initial Movement:
- Rasik walks 20 m towards north from the starting position.

2. First Turn:
- After walking 20 m north, Rasik turns right and walks 30 m.

3. Second Turn:
- Next, he turns right again and walks 35 m.

4. Third Turn:
- Then, Rasik turns left and walks 15 m.

5. Final Turn:
- Lastly, he turns left again and walks 15 m.

Calculating Rasik's Position:
- The movements can be simplified as follows:
- North: 20 m
- East: 30 m
- East: 35 m
- South: 15 m
- West: 15 m
- Rasik's final position is 20 m north, 30 m + 35 m = 65 m east, 15 m south, and 15 m west from the starting point.
- By simplifying the movements, we find that Rasik is 15 m east of the starting position.
Therefore, the correct answer is 45 m East.

Given information:
- Distance between two cars initially: 150 km
- First car's movements: 25 km + 15 km + 25 km = 65 km
- Second car's movements: 35 km

Calculating the current positions of both cars:
- First car's current position: 65 km
- Second car's current position: 35 km

Calculating the distance between the two cars:
- Distance between the two cars = 65 km (First car's position) - 35 km (Second car's position)
- Distance between the two cars = 30 km

Therefore, the distance between the two cars at this point is 30 km, which is closest to option 'A' (65 km).

Explanation:

Initial direction:
Ramakant starts by walking northwards. So, initially, he is moving in the north direction.

First turn:
After walking for a while, Ramakant turns to his right.
When a person turns to their right, they are turning towards the east direction.
So, after the first turn, Ramakant is moving in the east direction.

Second turn:
After a little further walking, Ramakant turns to his left.
When a person turns to their left, they are turning towards the north direction.
So, after the second turn, Ramakant is moving in the north direction again.

Final turn:
Finally, after walking a distance of one kilometre, Ramakant turns to his left again.
When a person turns to their left, they are turning towards the west direction.
So, after the final turn, Ramakant is moving in the west direction.

Conclusion:
After all the turns, Ramakant is moving in the west direction.
Hence, the correct answer is option 'D' - West.

To determine the direction of P from Y, we need to analyze the given information step by step.

- Y is in the East of X: This means that Y is located to the right of X when facing North.

- X is in the North of Z: This means that X is located above Z when facing North.

- P is in the South of Z: This means that P is located below Z when facing North.

Now, let's put all this information together to find the direction of P from Y.

First, visualize the positions of X, Y, and Z in relation to each other:

Z
|
|
X----
|
|
Y

Now, let's analyze the position of P in relation to Y.

Since Y is in the East of X and X is in the North of Z, we can conclude that Y is to the right of X and above Z.

Since P is in the South of Z, we can conclude that P is below Z.

Therefore, P is located below Z and to the right of Y.

In terms of direction, we can say that P is in the South-East of Y.

So, the correct answer is option D) None of these, as none of the given options (North, South, or South-East) accurately represent the direction of P from Y.

To solve this problem, we need to visualize the movements of the man and determine his final position relative to his initial position.

Let's break down the movements step by step:

1. The man walks 30 metres towards the south.
- This means he moves 30 metres in the opposite direction of the north.

2. Then, he turns to his right and walks 30 metres.
- Turning to the right means he is now facing west.
- He walks 30 metres towards the west.

3. Next, he turns to his left and walks 20 metres.
- Turning to the left means he is now facing south.
- He walks 20 metres towards the south.

4. Finally, he turns to his left again and walks 30 metres.
- Turning to the left means he is now facing east.
- He walks 30 metres towards the east.

To determine the man's final position, we need to consider the directions and distances traveled.

- He initially walks 30 metres towards the south.
- Then, he walks 30 metres towards the west.
- Next, he walks 20 metres towards the south.
- Finally, he walks 30 metres towards the east.

Now, let's calculate the net displacement of the man:

- The north and south movements cancel each other out, as he walks 30 metres south and then 20 metres back north.
- The east and west movements also cancel each other out, as he walks 30 metres west and then 30 metres back east.

Therefore, the net displacement of the man is zero. This means he is at the same position as his initial position. So, he is 0 metres away from his initial position.

Since none of the answer options match this result, there might be an error in the problem statement or answer choices provided.

Given Information:
The boy initially rode his bicycle northward.
Then, he turned left and rode 1 km.
After that, he turned left again and rode 2 km.
He found himself 1 km west of his starting point.

Solution:
Let's assume the distance the boy rode northward initially is x km.
When he turned left and rode 1 km, he essentially traveled 1 km west.
When he turned left again and rode 2 km, he traveled 2 km south.
In total, the boy traveled x km northward, 1 km west, and 2 km south.
This forms a right-angled triangle with sides x, 1, and 2.
According to Pythagoras theorem:
(x^2) = (1^2) + (2^2)
x^2 = 1 + 4
x^2 = 5
x = √5 ≈ 2.24 km
Therefore, the boy initially rode his bicycle northward for approximately 2 km.
So, the correct answer is option B. 2 km.

To find out how far Raj is from the starting point, we need to analyze his movements step by step.

1. Moving straight from X to Y:
We are given that Raj traveled straight from point X to Y, which is a distance of 80 kilometers. This initial movement does not affect his position in relation to the starting point, as he is moving in a straight line.

2. Turning right and walking 50 meters:
After reaching point Y, Raj turns right and walks 50 meters. This movement creates a right-angled triangle with the starting point as one vertex and the 80-kilometer line as the hypotenuse. The 50-meter line is the adjacent side of this triangle.

3. Turning right and walking 70 meters:
Next, Raj turns right again and walks 70 meters. This creates another right-angled triangle, with the 50-meter line as the hypotenuse. The 70-meter line is the adjacent side of this triangle.

4. Turning right and walking 50 meters:
Finally, Raj turns right once more and walks 50 meters. This creates yet another right-angled triangle, with the 70-meter line as the hypotenuse. The 50-meter line is the adjacent side of this triangle.

Calculating the distance from the starting point:
To find the distance from the starting point, we need to determine the length of the line connecting the starting point to the endpoint of the 50-meter line. This line is the opposite side of the last right-angled triangle formed.

Using Pythagoras' theorem, we can calculate the length of this line:

Opposite side^2 = Hypotenuse^2 - Adjacent side^2
Opposite side^2 = 70^2 - 50^2
Opposite side^2 = 4900 - 2500
Opposite side^2 = 2400
Opposite side = √2400
Opposite side ≈ 48.9898

Therefore, Raj is approximately 49 meters away from the starting point.

Since the closest option to 49 meters is 10 meters, the correct answer is option A) 10 meters.

Degrees clockwise and is now facing north-east.

Understanding the Problem:
The problem states that Adithya's house door faces the East. Adithya walks straight 50 meters from the back side of his house, then turns right and walks 50 meters again. Finally, he turns left and walks 25 meters. We need to determine in which direction he is from the starting point.

Analyzing the Movements:
Let's analyze Adithya's movements step by step:

1. Adithya walks straight 50 meters from the back side of his house.
- This means he moves in the West direction.

2. Adithya turns right and walks 50 meters again.
- Now, he is moving towards the North direction.

3. Adithya turns left and walks 25 meters.
- Since he was moving towards the North direction and now turns left, he will be facing the West direction.

Determining the Final Direction:
To determine Adithya's final direction, we need to combine the directions of his movements.

1. Adithya moves West for 50 meters.
2. Adithya moves North for 50 meters.
3. Adithya turns left (towards West) and walks 25 meters.

Combining the Directions:
To combine the directions, we need to consider the starting direction as East (from the back side of the house).

Starting Direction: East (back side of the house)
Movements:
1. West for 50 meters.
2. North for 50 meters.
3. West for 25 meters.

Combining the Directions:
To combine the directions, we need to consider the starting direction as East (from the back side of the house).

Starting Direction: East (back side of the house)
Movements:
1. West for 50 meters.
2. North for 50 meters.
3. West for 25 meters.

Final Direction:
To determine the final direction, we need to subtract the total distance traveled in the West direction from the total distance traveled in the East direction.

Total Distance in East Direction: 0 meters
Total Distance in West Direction: 50 meters + 25 meters = 75 meters

Since the total distance in the West direction is greater than the total distance in the East direction, Adithya's final direction will be in the West direction.

Conclusion:
Adithya is in the North-West direction from the starting point. Therefore, the correct answer is option 'A' - North-West.

To determine who faces towards South, we need to understand the given information and analyze the directions of each person.

Given information:
- A and B are partners.
- D faces towards North.
- A faces towards West.

Analyzing the directions:
- Since D faces towards North, we know that D is facing upwards on a map.
- A faces towards West, which means A is facing towards the left side on a map.
- Since A and B are partners, they will be facing each other. Therefore, B will be facing towards the right side on a map.

Now, let's analyze the remaining direction, which is South.

Analyzing the South direction:
- Since A and B are partners and they are facing each other, they cannot face towards the South direction.
- D is facing towards the North direction, so D cannot face towards the South direction either.
- Therefore, the only remaining person is C, who must be facing towards the South direction.

Therefore, the correct answer is option 'C', which states that C faces towards South.

In summary:
- D faces towards North.
- A faces towards West.
- B faces towards the right side.
- C faces towards South.

The given information states that if we assign cardinal directions to the intermediate directions based on their position, then Southeast will be called East, Northwest will be called West, Southwest will be called South, and so on.

To find out what North will be called, we need to follow the same logic and apply it to the intermediate direction between North and East. This intermediate direction is called Northeast.

To determine the name of North based on the given pattern, we need to find the direction that is opposite to Northeast, which is North-west. Therefore, North will be called North-west.

Hence, the correct answer is option C) North-west.

Direction to the University

Given information:
- Ravi's home is in the East.
- There is a crossing where Ravi is currently standing.
- The road to the left leads to a theatre.
- The road straight ahead leads to the hospital.

Solution:
- We are not given the direction of the road to the right, so we need to assume that the university is in that direction.
- As Ravi's home is in the East, the road to the West is on the right-hand side of the crossing.
- Therefore, the direction of the university is towards the West, which is in the opposite direction of the road to the theatre and straight ahead to the hospital.
- Hence, the correct answer is option 'A', i.e., North.

Conclusion:
- The university is located towards the North direction from the crossing where Ravi is standing.

Problem Analysis:
The problem states that Gopal was standing facing a pole, and the shadow of the pole fell exactly to his right. We need to determine the direction in which Gopal was facing based on this information.

Key Points:
- Gopal was standing facing a pole.
- The shadow of the pole fell exactly to his right.

Solution:
To determine the direction in which Gopal was facing, we need to understand the movement of shadows during different times of the day.

Movement of Shadows:
- In the morning, shadows are formed towards the west.
- In the afternoon, shadows shift towards the east.
- In the evening, shadows are formed towards the east.
- At noon, the sun is directly overhead, and shadows disappear.

Analysis:
- The problem states that the shadow fell exactly to Gopal's right. This means the sun was in the west direction.
- As the problem does not mention the time of day, we cannot determine if it was morning or evening. However, we can eliminate the options based on the movement of shadows.
- If it was morning, the shadow would have fallen towards the west, and Gopal would have been facing east.
- If it was evening, the shadow would have fallen towards the east, and Gopal would have been facing west.

Conclusion:
Based on the above analysis, we can conclude that Gopal was facing east. Therefore, the correct answer is option 'b) East'.