Robin is surrounded by his classmates and is facing towards Tanmay. If he turns 225° clockwise and then 90° anti-clockwise, then who will he be facing? How many such 5's are there... Robin is surrounded by his classmates and is facing towards Tanmay. If he turns 225° clockwise and then 90° anti-clockwise, then who will he be facing? How many such 5's are there in the given arrangement, each of which is immediately preceded by a symbol and immediately followed by an alphabet?
Understand the Problem
The question is asking about a specific scenario in which Robin is turned a certain degree clockwise and anti-clockwise. It requires us to analyze his final facing direction based on these turns. It also includes a second question regarding the frequency of a specific symbol pattern in a given sequence.
Answer
Robin will be facing Tanmay, and there is 1 valid '5'.
Answer for screen readers
Robin will be facing Tanmay again. There is 1 such '5' in the given arrangement that meets the criteria.
Steps to Solve
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Initial Facing Direction
Robin is currently facing Tanmay. -
Calculating Clockwise Turn
Robin turns 225° clockwise from his initial position. In a full circle (360°), each quarter is 90°.
Thus, 225° means:
- 90° (to the right) → Now facing Rohit
- 90° (another 90°) → Now facing Monika
- 45° more to complete 225° → Now facing between Monika and John.
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Calculating Anti-clockwise Turn
Now, Robin turns 90° anti-clockwise.
From his last position (facing between Monika and John):
- 90° anti-clockwise, now facing Tanmay.
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Final Position
After the turns, Robin ends up facing Tanmay again. -
Counting Patterns
Next, analyze the string of symbols and letters given:
W 65 T @ 5 5 B 3 5 % 5 T 5 K V
Look for occurrences of '5' that are immediately preceded by a symbol and followed by an alphabet. -
Finding Valid Patterns
- The '5' in
B 3 5is preceded by a space and followed by another space, not valid. - The '5' in
5 % 5is preceded by a symbol (%) and followed by the next '5', valid. - No other '5's fulfill the criteria.
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Final Count
There is 1 valid occurrence of '5' fitting the criteria.
Robin will be facing Tanmay again. There is 1 such '5' in the given arrangement that meets the criteria.
More Information
This exercise illustrates rotational movement and pattern recognition within a group context. It shows how direction changes can return one to their original orientation despite multiple turns.
Tips
- Miscalculating the total degrees turned, particularly when combining clockwise and anti-clockwise turns. It's important to keep track of direction with clarity.
- Overlooking possible '5's when assessing the arrangement; ensure each character is checked thoroughly against the conditions given.
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