Gulshan is facing north-west. He turns `90^(@)` in the clockwise direction, then `180^(@)` in the anticlockwise direction and then another `90^(@)` in the same direction. Which direction is he facing now ?

Options

A. South
B. South-west
C. West
D. South-east

Answer

D

Explanation

From the fig., it is clear that Gulshan initially faces in the direction OA. On moving `90^(@)` clockwise, he faces in the direction OB. Then on further moving `180^(@)` anticlockwise, he faces in the direction OC.

Finally, on moving `90^(@)` anticlockwise, he faces in the direction OD i.e. South-East.
Therefore, Gulshan is facing now in South-East.
Shortcut method :
Clockwise direction ( ) : `90^(@)`
Anticlockwise directions ( ) : `180^(@) + 90^(@) = 270^(@)`
`therefore` The required direction = `(90^(@) - 270^(@)) = - 180^(@)`
i.e. `180^(@)` anticlockwise from initial position.