Count each $7$ which is not immediately preceded by $5$ but is immediately followed by either $2$ or $3.$ How many such $7's$ are there?
$5, 7, 2, 6, 5, 7, 3, 8, 3, 7, 3, 2, 5, 7, 2, 7, 3, 4, 8, 2, 6, 7, 8$

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 $N$?

In the following series of numbers,find out how many times $1, 3$ and $7$ have appeared together,with $7$ being in the middle and $1$ and $3$ on either side of $7$?
$2, 9, 7, 3, 1, 7, 3, 7, 7, 1, 3, 3, 1, 7, 3, 8, 5, 7, 1, 3, 7, 7, 1, 7, 3, 9, 0, 6$

Satish remembers that his brother's birthday is after $15^{th}$ but before $18^{th}$ of February,whereas his sister Kajal remembers that her brother's birthday is after $16^{th}$ but before $19^{th}$ of February. On which day in February is Satish's brother's birthday (in $^{th}$)?

In a queue of children,Kashish is fifth from the left and Mona is sixth from the right. When they interchange their places among themselves,Kashish becomes thirteenth from the left. Now what will be Mona's position from the right (in $^{th}$)?

In the sequence $7, 8, 9, 7, 6, 5, 3, 4, 2, 8, 9, 7, 2, 4, 5, 9, 2, 9, 7, 6, 4, 7$,how many $7$'s are preceded by $9$ and followed by $6$?