In a certain coded language. @ means East # means West means North ! means South For example, *@means North-East
!
Understanding the Coded Direction Language
In this question, we are given a special coded language where symbols represent cardinal directions:
- @ means East
- # means West
- * means North
- ! means South
The example *@ means North-East, showing how combinations might work, but the question asks for a single final facing direction.
Tracing Mr. Rajan's Journey and Direction Facing
Let's follow Mr. Rajan's movements step-by-step from his house to his office and note the direction he is facing after each turn.
- Starting Point: Mr. Rajan starts from his house.
- First Move: He moves towards East for 20 m. At this point, he is facing East.
- First Turn: He takes a right turn. If you are facing East and take a right turn, you will be facing South. He walks for 20 m in this new direction. Now he is facing South.
- Second Turn: He takes a left turn. If you are facing South and take a left turn, you will be facing East. He walks for 15 m in this new direction. Now he is facing East.
- Third Turn: He takes a right turn. If you are facing East and take a right turn, you will be facing South. He walks 15 m more towards his office. Now he is facing South.
After his final movement, Mr. Rajan is facing South.
Determining the Final Facing Direction in Coded Language
We found that Mr. Rajan is facing South at the end of his journey.
Looking back at the coded language provided:
- @ means East
- # means West
- * means North
- ! means South
The symbol that represents South is !.
Matching the Final Direction to the Options
The options provided are:
- !
- *
- #
- @
Since Mr. Rajan is facing South, and South is represented by ! in the coded language, the correct option is the one with !.
| Step | Movement | Turn | Direction Facing After Turn |
|---|---|---|---|
| 1 | Start / Moves East | N/A | East |
| 2 | Walks 20m | Right turn | South |
| 3 | Walks 20m | Left turn | East |
| 4 | Walks 15m | Right turn | South |
| 5 | Walks 15m towards office | N/A (End of path) | South |
Therefore, Mr. Rajan is facing South, which is represented by !.
Revision Table: Key Concepts in Direction Reasoning
| Concept | Explanation | Application Here |
|---|---|---|
| Cardinal Directions | The four main directions: North, South, East, West. | Coded symbols represent these directions. |
| Right Turn | Turning 90 degrees clockwise from your current facing direction. | Used when Rajan turns right from East (to South) and from South (to East). Mistake in logic tracing - right turn from East is South, right turn from South is West, right turn from West is North, right turn from North is East. Let's recheck my trace. Step 1: Facing East. Step 2: Right turn from East -> South. Facing South. Step 3: Left turn from South -> East. Facing East. Step 4: Right turn from East -> South. Facing South. Okay, my trace was correct. Right turn from South is West, but he took a left turn from South, which is East. Then right turn from East is South. The final direction is indeed South. The table needs correction for the right turn from South. Corrected Table Entry: Right Turn | Turning 90 degrees clockwise. | Used when Rajan turns right from East (to South) and right from East (to South). |
| Left Turn | Turning 90 degrees counter-clockwise from your current facing direction. | Used when Rajan turns left from South (to East). |
| Tracing Path | Following movements and turns sequentially. | Essential for determining final position or facing direction. |
| Coded Language | Using symbols or words to represent other concepts. | Directions are represented by @, #, *, !. |
Additional Information: Relative Directions and Turns
Understanding how turns affect your facing direction is crucial in problems like this. Imagine standing and facing a certain direction. A right turn is always clockwise, and a left turn is always counter-clockwise.
- From North: Right is East, Left is West.
- From East: Right is South, Left is North.
- From South: Right is West, Left is East.
- From West: Right is North, Left is South.
The distances walked (20m, 15m, 15m) are important for determining position, but for finding only the final facing direction, only the sequence of turns matters.
The question only asks for the final facing direction, not the final position from the starting point.
Similar Questions
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Important Questions from Direction and Distance
What is the direction of U with respect to P?
What is the shortest distance between R and T?
If a person walks 3m towards the North from point V, takes a right turn and walks for another 15m, which of the following points would he reach?
In which direction is Amit facing at point F?
What is the distance between the starting point and the end point?
