All questions of Direction and Distance for SSC CGL Exam

Understanding Sanjith's Movements
To determine the direction Sanjith is facing from his starting point, we will break down his movements step-by-step.
Initial Position
- Sanjith starts facing North.
Step 1: Walking 10 m
- He turns right (now facing East) and walks 10 m.
Step 2: Turning Left and Walking
- He then turns left (now facing North) and walks 30 m.
Step 3: Move Right
- Next, he moves 25 m to his right (now facing East).
Step 4: Moving Right Again
- He turns right again (now facing South) and walks 50 m.
Step 5: Final Turn and Move
- Finally, he turns right (now facing West) and moves 40 m.
Calculating the Final Position
- Starting Point: (0, 0)
- After walking 10 m East: (10, 0)
- After walking 30 m North: (10, 30)
- After moving 25 m East: (35, 30)
- After moving 50 m South: (35, -20)
- After moving 40 m West: (-5, -20)
Final Direction from Starting Point
- Sanjith's final position is (-5, -20).
- This indicates he is located 5 m West and 20 m South from his starting point.
Conclusion
- Therefore, Sanjith is currently in the South-West direction from his starting point.
- The correct answer is option C: South-West.

Understanding Rakesh's Turns
To determine the direction Rakesh was facing when he started from his house, we need to analyze the sequence of turns he made.
Initial Position
- Rakesh starts at his house facing a certain direction. Let's denote this as 'X'.
Sequence of Turns
- First Turn: Rakesh takes a left turn.
- If he was facing North (X = North), he would now be facing West.
- If he was facing South, he would now be facing East.
- If he was facing East, he would now be facing North.
- If he was facing West, he would now be facing South.
- Second Turn: Rakesh takes another left turn.
- Continuing from the first turn:
- If he was facing West, he now faces South.
- If he was facing East, he now faces North.
- If he was facing North, he now faces West.
- If he was facing South, he now faces East.
- Right Turn: Rakesh then takes a right turn.
- Based on the previous direction:
- If he was facing South, he now faces West.
- If he was facing North, he now faces East.
- If he was facing West, he now faces North.
- If he was facing East, he now faces South.
Final Direction
- Rakesh reaches the market facing North. This means before the last right turn, he had to be facing West (since turning right from West leads him to face North).
Conclusion
- To find the initial direction, we trace back:
- Before the right turn (facing West), he had to be facing South before the second left turn, and finally, he was facing East when he started.
Thus, Rakesh was facing East when he started from his house, confirming that the correct answer is option 'C'.

Given Information:
- The mall is 250 meters north-west of the market.
- The school is 250 meters south-west of the market.

To Find:
In which direction is the school from the mall?

Explanation:
To determine the direction of the school from the mall, we need to consider the given information and analyze their positions relative to each other.

Step 1: Analyzing the Position of the Mall and Market
- The mall is 250 meters north-west of the market.
- The term "north-west" indicates that the mall is situated in the direction between north and west from the market.
- This means that if we start from the market and go towards the north, and then turn towards the west, we will reach the mall.

Step 2: Analyzing the Position of the School and Market
- The school is 250 meters south-west of the market.
- The term "south-west" indicates that the school is situated in the direction between south and west from the market.
- This means that if we start from the market and go towards the south, and then turn towards the west, we will reach the school.

Step 3: Comparing the Positions of the Mall and School
- Based on the analysis of the positions of the mall and school:
- The mall is to the north-west of the market.
- The school is to the south-west of the market.
- Comparing these positions, we can observe that the school is in the opposite direction of the mall from the market.
- Since the school is in the opposite direction, we can conclude that the school is south of the mall.

Conclusion:
Therefore, the school is in the south direction from the mall.

B) North
c) East
d) West

The correct answer is d) West.

To solve this problem, let's break down the given information step by step:

1. Shankar walked 10 meters.
2. He turned left and covered a distance of 6 meters.
3. He then turned right and covered a distance of 20 meters.
4. Finally, he was moving towards the south.

Now, let's analyze these steps and determine the direction from which Shankar started his journey.

Step 1: Shankar walked 10 meters.
This step does not provide any information about the direction Shankar was facing.

Step 2: Shankar turned left and covered a distance of 6 meters.
When Shankar turns left, he changes his direction by 90 degrees counterclockwise. So, if he was facing north initially, he would be facing west after turning left.

Step 3: Shankar then turned right and covered a distance of 20 meters.
When Shankar turns right, he changes his direction by 90 degrees clockwise. So, if he was facing west after turning left, he would be facing north again after turning right.

Step 4: Finally, Shankar was moving towards the south.
Since Shankar was moving towards the south, it means that he was initially facing north.

Conclusion:
Based on the given information, Shankar started his journey facing north. Therefore, option B - North is the correct answer.

Understanding Sunita's Path
To determine how far Sunita is from point L, we need to track her movements step by step.
Step 1: Initial Movement
- Sunita walks 45 metres south.
Step 2: First Turn
- She then turns right (now facing west) and walks another 45 metres.
Step 3: Second Turn
- Next, she turns right again (now facing north) and walks 20 metres to reach point L.
Step 4: Third Turn
- Sunita again turns right (now facing east) and walks 45 metres.
Visual Representation
- Starting Point (A):
- South 45m to Point B
- West 45m to Point C
- North 20m to Point L
- East 45m from Point L
Calculating the Distance
- At Point L, Sunita has walked 20 metres north from Point C, where she had turned.
- Since she initially walked 45 metres south, she is now 25 metres north of Point C.
- Therefore, to find the distance from Point L to her starting point, we have:
- 45 metres (South) - 20 metres (North) = 25 metres difference.
Conclusion
- Sunita is 25 metres away from point L after her last movement, which corresponds to option 'B'.

Given information:
- The cyclist goes 30 km to the North.
- Then he turns East and goes 40 km.
- After that, he turns right and goes 20 km.
- Finally, he turns right again and goes 40 km.

To determine the distance from the starting point, we need to analyze the movements of the cyclist.

1. Northward Movement:
The cyclist goes 30 km to the North. This movement does not change the cyclist's position in the East-West direction.

2. Eastward Movement:
After turning East, the cyclist goes 40 km. This movement changes the cyclist's position in the East-West direction but does not affect the North-South direction.

3. Southward Movement:
Turning right again, the cyclist goes 20 km. This movement changes the cyclist's position in the North-South direction but does not affect the East-West direction.

4. Westward Movement:
Finally, the cyclist turns right and goes 40 km. This movement changes the cyclist's position in the East-West direction but does not affect the North-South direction.

Now let's calculate the final position of the cyclist:

- The initial position is at point O.
- The Northward movement takes the cyclist to point A.
- The Eastward movement takes the cyclist to point B.
- The Southward movement takes the cyclist to point C.
- The Westward movement takes the cyclist to point D.

We need to find the distance between the final position (D) and the starting point (O).

Calculating the East-West distance:
- The Eastward movement (OB) is 40 km.
- The Westward movement (CD) is also 40 km.
- Therefore, the East-West distance is 40 km - 40 km = 0 km.

Calculating the North-South distance:
- The Northward movement (OA) is 30 km.
- The Southward movement (OC) is 20 km.
- Therefore, the North-South distance is 30 km - 20 km = 10 km.

The final position (D) is 0 km East and 10 km South from the starting point (O).

Finding the distance from the starting point:
- Using the Pythagorean theorem, the distance from the starting point is given by sqrt((0 km)^2 + (10 km)^2) = sqrt(0 + 100) = sqrt(100) = 10 km.

Therefore, the cyclist is 10 km away from his starting point. Hence, option D is the correct answer.