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
Sita took an auto from her home in Andheri (A) to go to her college in Fatehpuri (F). Rather than continuing straight on the direct road to the college that had no turns, the auto driver took a diversion after 10 km and tumed right at Bandra (B) crossing, then at Colaba T- point (C) after 8 km turned left, again after covering 12 km turned left at Dalhousi Building (D) and soon after 8 km turned right at Elphinston point (E) and after covering 4 km reached Fatehpuri (F). Had the auto driver taken the direct route how much less distance would Sita have actually travelled between the starting point and the destination?
Radha walks a distance of 9 m towards the South-East. Then she walks 15 m towards the West. From here, she walks 9 m towards the North-West. Finally she walks 6 m towards the East and stands at the point. How far is she standing from the starting point?
According to the time by Nihaal's watch its half past one and the hour hand is pointing towards the north-east. Assuming that there is no change in Nihaal's position, in which direction would the minute hand point after 30 minutes?
According to the time by Rohan's watch, it is half past 6 and the watch's hands are pointing to the south. In which of the given directions will the minute-hand point AFTER exactly 24 hours?
According to the time by Rick's watch its quarter past eight. If the minute hand points towards the east, towards which direction would the hour hand point?
