Prakash is facing north-west. He turns `90^(@)` in the clockwise direction and then `135^(@)` in the anticlockwise direction. Which direction is he facing now ?

Options

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

Answer

B

Explanation

From the fig., it is clear that Prakash initially faces in the direction OX. On moving `90^(@)` clockwise, Prakash faces in the direction OY. Then on further moving `135^(@)` anticlockwise, he faces in the direction OZ i.e., West

Therefore, Prakash is facing now in West.
Shortcut method :
Clockwise direction ( ) : `90^(@)`
Anticlockwise direction ( ) : `135^(@)`
`therefore` The required direction = `(90^(@) - 135^(@)) = - 45^(@)` i.e. `45^(@)` anticlockwise from initial position.