How many numbers between $9$ and $54$ (inclusive) are exactly divisible by $9$ but not by $3$?

The priest told the devotee,"The temple bell is rung at regular intervals of $45 \, \text{minutes}$. The last bell was rung five minutes ago. The next bell is due to be rung at $7:45 \, \text{a.m.}$" At what time did the priest give this information to the devotee?

Some boys are sitting in a row. $P$ is sitting fourteenth from the left and $Q$ is seventh from the right. If there are four boys between $P$ and $Q,$ how many boys are there in the row?

In a queue,Vijay is $14^{th}$ from the front and Jack is $17^{th}$ from the end,while Mary is in between Vijay and Jack. If Vijay is ahead of Jack and there are $48$ persons in the queue,how many persons are there between Vijay and Mary?

In a class of $40$ students,Samir's rank from the top is $12^{th}$. Alok is $8$ ranks below Samir. What is Alok's rank from the bottom?

How many $3$s are there in the following number sequence which are immediately preceded by $6$ but not immediately followed by $7$?
$2, 3, 7, 4, 3, 5, 6, 3, 7, 4, 6, 3, 8, 9, 6, 5, 1, 8, 3, 7, 2, 4, 2, 8, 6, 3, 9$