In the series given below,count each $5$ which is not immediately preceded by $3$ but is immediately followed by $7$. How many such $5$ are there?
$1, 5, 7, 3, 5, 7, 4, 7, 3, 7, 2, 5, 6, 5, 8, 5, 7, 4, 5, 6, 5, 5, 7, 1, 5, 7, 7, 5, 5$

The letters $L, M, N, O, P, Q, R, S$ and $T$ in their order are substituted by nine integers $1$ to $9$ but not necessarily in that order. $4$ is assigned to $P$. The difference between $P$ and $T$ is $5$. The difference between $N$ and $T$ is $3$. What is the integer assigned to $N$?

Ravi is $7$ ranks ahead of Sumit in a class of $39$ students. If Sumit's rank is $17^{th}$ from the last, what is Ravi's rank from the start (in $^{th}$)?

If the day before yesterday was Saturday,what day will fall on the day after tomorrow?

Kailash remembers that his brother Deepak's birthday falls after $20^{th}$ May but before $28^{th}$ May,while Geeta remembers that Deepak's birthday falls before $22^{nd}$ May but after $12^{th}$ May. On what date does Deepak's birthday fall?

If February $1, 1996$ is Wednesday,what day is March $3, 1996$?