$A$ 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 $1:30 \,p.m.$?

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?

The post office is to the east of the school,while my house is to the south of the school. The market is to the north of the post office. If the distance of the market from the post office is equal to the distance of my house from the school,in which direction is the market with respect to my school?

In a row of children facing north,Manish is fourth to the left of Suresh,who is tenth from the left end. Nisha is second to the right of Suresh and eighth from the right end of the row. Total how many children are there in the row?

In the given figure,$P$ is $300 \, km$ eastward of $O$ and $Q$ is $400 \, km$ north of $O$. $R$ is exactly in the middle of $Q$ and $P$. The distance between $Q$ and $R$ is (in $, km$)

From the positions in the original figure,$C$ 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. Where is $A$ now?