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?

Understand the Problem

The question involves a scenario where Robin is facing his classmates and undergoes a series of rotations. It is asking whom Robin will be facing after he makes a specified turn. The problem requires understanding of directional turns and relative positions.

Answer

Rashmi

Steps to Solve

Understanding Initial Position Robin is initially facing Tanmay. Let's denote the direction as follows:

Front: Tanmay
Right: Rohit
Back: Raman
Left: Naman
Front-right: John
Front-left: Monika
Back-right: Rashmi
Back-left: Tina

Calculating Total Degrees Turned Since Robin turns 225° clockwise first, and then 90° anti-clockwise, we need to calculate the net turn.

Clockwise turn: +225°
Anti-clockwise turn: -90°

The total rotation in degrees is: $$ 225 - 90 = 135° $$

Dividing the Circle into Segments Each 45° represents a turn towards one of his classmates. Therefore, we can divide Robin's circle as follows:

Starting at Tanmay (0°)
45° (John)
90° (Rohit)
135° (Rashmi)
180° (Raman)
225° (Naman)
270° (Monika)
315° (Tina)

Determining Final Facing Direction After a 135° clockwise turn from the initial position (Tanmay), Robin faces:

0° (Tanmay)
45° (John)
90° (Rohit)
135° (Rashmi)

Thus, at 135°, Robin is facing Rashmi.

Robin will be facing Rashmi.

More Information

Robin's position is altered by his rotations relative to his classmates. Understanding the clock-related turns is essential for solving this type of problem.

Tips

Forgetting to adjust clockwise and anti-clockwise rotations correctly.
Miscalculating the degree segments represented by each classmate.

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