Sumesh went $15 \, km$ to the north from his house. Then he turned west and covered $10 \, km$. Then he turned south and covered $5 \, km$. Finally,he turned to the east and covered $10 \, km$. In which direction is he from his house?

$A$ clock gaining $2 \, \text{minutes}$ every hour was synchronized at midnight with a clock losing $1 \, \text{minute}$ every hour. How many minutes behind will the second clock be at $11:00 \, \text{AM}$ the following morning compared to the clock gaining $2 \, \text{minutes}$ every hour?

$A$ man is facing north-west. He turns $90^{\circ}$ in the clockwise direction,then $180^{\circ}$ in the anticlockwise direction,and then another $90^{\circ}$ in the same direction. Which direction is he facing now?

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

$I$ start from my home and go $2 \, km$ straight. Then,$I$ turn towards my right and go $1 \, km$. $I$ turn again towards my right and go $1 \, km$ again. If $I$ am north-west from my house,then in which direction did $I$ go in the beginning?

Rupa and Saroj want to attend a seminar together between $9 \, am$ and $5 \, pm$ on Friday. Saroj cannot leave till after her lunch break which begins at $1:30 \, pm$. Rupa is free after her meeting which begins at noon. For how many hours can the two of them attend the seminar?