Sachin and Vinod want to visit the museum after their exams. Sachin's exams finish on $9^{th}$ April and he is leaving for a holiday on $12^{th}$ April. Vinod's exams will be over by $10^{th}$ April,after which he is free. On which of the following dates can the two definitely meet?

$A$ man is facing west. He turns $45^{\circ}$ in the clockwise direction and then another $180^{\circ}$ in the same direction and then $270^{\circ}$ in the anticlockwise direction. Which direction is he facing now?

$A$ boy rode his bicycle northwards,then turned left and rode $1 \, km$,and again turned left and rode $2 \, km$. He found himself exactly $1 \, km$ west of his starting point. How far did he ride northwards initially? (in $km$)

Deepak starts walking straight towards east. After walking $75 \, m$,he turns to the left and walks $25 \, m$ straight. Again he turns to the left,walks a distance of $40 \, m$ straight,and again he turns to the left and walks a distance of $25 \, m$. How far is he from the starting point?

Kunal walks $10 \,km$ towards North. From there he walks $6 \,km$ towards South. Then,he walks $3 \,km$ towards East. How far and in which direction is he with reference to his starting point?

$A$ 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 here he went $100 \, m$ to the North before meeting his father in a street. How far did the son meet his father from the starting point? (in $m$)