$A$ girl leaves from her home. She first walks $30 \, m$ in the North-west direction and then $30 \, m$ in the South-west direction. Next,she walks $30 \, m$ in the South-east direction. Finally,she turns towards her house. In which direction is she moving?

From the original position given in the above figure,$A$ and $B$ move one arm length clockwise and then cross over to the corner diagonally opposite. $C$ and $D$ move one arm length anticlockwise and cross over to the corner diagonally opposite. The original configuration $ADBC$ has now changed to:

$A$ and $B$ start moving towards each other from two places $200 \,m$ apart. After walking $60 \,m$,$B$ turns left and goes $20 \,m$,then he turns right and goes $40 \,m$. He then turns right again and comes back to the road on which he had started walking. If $A$ and $B$ walk with the same speed,what is the distance between them now? (in $m$)

Nitin correctly remembers that Nidhi's birthday is after Tuesday but before Friday. Derek correctly remembers that Nidhi's birthday is after Wednesday but before Saturday. On which of the following days does Nidhi's birthday definitely fall?

In a square arrangement,let the initial positions be $A$ (North-West),$B$ (North-East),$C$ (South-East),and $D$ (South-West). $C$ and $A$ move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. $B$ and $D$ move two sides each clockwise and anticlockwise respectively. Who is at the North-West corner?

Kailash faces towards north. Turning to his right, he walks $25\; metres$. He then turns to his left and walks $30\; metres$. Next, he moves $25\; metres$ to his right. He then turns to his right again and walks $55\; metres$. Finally, he turns to the right and moves $40\; metres$. In which direction is he now from his starting point?