$A$ 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?

Deepa moved a distance of $75 \, \text{metres}$ towards the north. She then turned to the left and,walking for about $25 \, \text{metres}$,turned left again and walked $80 \, \text{metres}$. Finally,she turned to the right at an angle of $45^{\circ}$. In which direction was she moving finally?

If the digits of a watch are replaced by every alternate letter of the alphabet beginning from $12$ in the reverse order,i.e.,$12$ is replaced by $A$,$11$ is replaced by $C$,and so on,then on which alphabet would the small hand be when the time is $5:00 \, P.M.$?

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?

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?

Point $D$ is $14 \,m$ towards the West of point $A.$ Point $B$ is $4 \,m$ towards the South of point $D.$ Point $F$ is $9 \,m$ towards the South of point $D.$ Point $E$ is $7 \,m$ towards the East of point $B.$ Point $C$ is $4 \,m$ towards the North of point $E.$ Point $G$ is $4 \,m$ towards the South of point $A.$ $A$ is in which direction with respect to $C$?