$A$ man is facing north-west. He turns $90^{\circ}$ in the clockwise direction and then $135^{\circ}$ in the anticlockwise direction. Which direction is he facing now?

$A$ man walks $6 \, km$ to the east and then turns to the south and walks $5 \, km$. Again he turns to the east and walks $6 \, km$. Next,he turns towards north and walks $10 \, km$. How far is he now from his starting point (in $, km$)?

Rasik walks $20 \, m$ North. Then he turns right and walks $30 \, m$. Then he turns right and walks $35 \, m$. Then he turns left and walks $15 \, m$. Then he again turns left and walks $15 \, m$. In which direction and how many metres away is he from his original position?

One morning after sunrise,Vikram and Shailesh were standing in a lawn with their backs towards each other. Vikram's shadow fell exactly towards his left-hand side. Which direction was Shailesh facing?

Point $B$ is $12 \,meters$ south of point $A.$ Point $C$ is $24 \,meters$ east of point $B.$ Point $D$ is $8 \,meters$ south of point $C.$ Point $D$ is $12 \,meters$ east of point $E$ and point $F$ is $8 \,meters$ north of point $E.$ If a man has to travel to point $E$ from point $A$ (through these points by the shortest distance),which of the following points will he pass through first?

From the original position,$B$ and $D$ move one and a half length of sides clockwise and anticlockwise respectively. Which one of the following statements is true?