How many $18$s are there in the following sequence which are immediately preceded by $9$ but not immediately followed by $7$?
$7, 1, 9, 1, 1, 7, 1, 8, 9, 1, 7, 1, 2, 1, 3, 1, 4, 5, 7, 1, 3, 9, 1, 7$

$(I)$ Kamal is available at home from $12$ noon to $4$ $p.m.$ on Tuesday,Thursday,and Sunday.
$(II)$ His younger brother Navin is available at home on Monday,Thursday,Friday,and Sunday between $10$ $a.m.$ to $2$ $p.m.$
$(III)$ The eldest brother Rajiv is available between $9$ $a.m.$ to $12$ noon on Monday,Wednesday,and Thursday and $2$ $p.m.$ to $4$ $p.m.$ on Friday,Saturday,and Sunday.
On which day of the week are all three brothers available at home at the same time?

$M$ is older than $R$. $Q$ is younger than $R$ and $N$. $N$ is not as old as $M$. Who among $M, N, R$,and $Q$ is the oldest?

In the following series,how many such odd numbers are there which are divisible by $3$ or $5$,followed by an odd number,and then followed by an even number?
$12, 19, 21, 3, 25, 18, 35, 20, 22, 21, 45, 46, 47, 48, 9, 50, 52, 54, 55, 56$

How many $5$'s are there in the following sequence which are immediately followed by $3$ but not immediately preceded by $7$?
$8, 9, 5, 3, 2, 5, 3, 8, 5, 5, 6, 8, 7, 3, 3, 5, 7, 7, 5, 3, 6, 5, 3, 3, 5, 7, 3, 8$

Aruna ranks twelfth in a class of forty-six. What will be her rank from the last?