From the positions in the original figure,$A$ and $C$ move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. $D$ and $B$ move two sides each clockwise and anticlockwise respectively. Where is $A$ now?

Two buses start from the opposite points of a main road,$150 \, km$ apart. The first bus runs for $25 \, km$ and takes a right turn and then runs for $15 \, km$. It then turns left and runs for another $25 \, km$ and takes the direction back to reach the main road. In the meantime,due to a minor breakdown,the other bus has run only $35 \, km$ along the main road. What would be the distance between the two buses at this point? (in $km$)

$A$ 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 $, km$)?

Mohan correctly remembers that his father's birthday is before $20^{th}$ January but after $16^{th}$ January,whereas his sister correctly remembers that their father's birthday is after $18^{th}$ January but before $23^{rd}$ January. On which date in January is their father's birthday?

$A$ clock is placed such that at $12$ noon,its minute hand points towards the north-east. In which direction does its hour hand point at $1:30 \,p.m.$?

$A$ child is looking for his father. He went $90 \, m$ in the east before turning to his right. He went $20 \, m$ before turning to his right again to look for his father at his uncle's place $30 \, m$ from this point. His father was not there. From there,he went $100 \, m$ to his north before meeting his father in a street. How far did the son meet his father from the starting point? (in $m$)