Question

Surabhi is facing east. She turns 100° in the clockwise direction and then 145° in the anti-clockwise direction. Which direction is she facing now?

• A. West
• B. North-East
• C. North
• D. South-East

Hint:

In problems with multiple turns, calculating the net rotation first is much faster than tracking each turn individually. Treat clockwise as negative and anti-clockwise as positive.

Answer 1

The Correct Option is B

Let's solve this by calculating the net rotation. Step 1: Define the turns.
Clockwise turns can be treated as negative rotation. So, the first turn is -100°.
Anti-clockwise (or counter-clockwise) turns can be treated as positive rotation. So, the second turn is +145°.

Step 2: Calculate the net turn. Add the rotations together to find the final effective turn from the starting position. Net Turn = (+145°) + (-100°) = +45°. A positive result means the net turn is 45° in the anti-clockwise direction.

Step 3: Apply the net turn to the starting direction. Surabhi's starting direction is East. We need to find the direction that is 45° anti-clockwise from East.
Imagine a compass. East is to the right.
North is up. West is left. South is down.
An anti-clockwise turn from East moves towards North.
A 90° anti-clockwise turn from East would lead to North.
A 45° anti-clockwise turn from East is exactly halfway between East and North. The direction halfway between East and North is North-East.