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?

$A$ 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 $m$)

$A$ person travelled from a point $X$ straight to $Y$ at a distance of $80 \, m$. He turned right and walked $50 \, m$,then again turned right and walked $70 \, m$. Finally,he turned right and walked $50 \, m$. How far is he from the starting point? (in $m$)

$A$ girl leaves from her home. She first walks $30 \, m$ in the North-west direction and then $30 \, m$ in the South-west direction. Next,she walks $30 \, m$ in the South-east direction. Finally,she turns towards her house. In which direction is she moving?

Starting from a point $P,$ Sachin walked $20 \,m$ towards South. He turned left and walked $30 \,m.$ He then turned left and walked $20 \,m.$ He again turned left and walked $40 \,m$ and reached a point $Q.$ How far and in which direction is the point $Q$ from the point $P$?

If the third day of a month is Tuesday,which of the following would be the $4^{th}$ day before the $27^{th}$ day of that month?