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

$1.12.91$ is the first Sunday. Which is the fourth Tuesday of December $91$ (in $.91$)?

$A$ bus for Delhi leaves every thirty minutes from a bus stand. An enquiry clerk told a passenger that the bus had already left ten minutes ago and the next bus will leave at $9:35 \,a.m.$ At what time did the enquiry clerk give this information to the passenger?

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?

In a queue of children,Kashish is $5^{th}$ from the left and Mona is $6^{th}$ from the right. When they interchange their places among themselves,Kashish becomes $13^{th}$ from the left. Then,what will be Mona's position from the right (in $^{th}$)?

Raman ranks sixteenth from the top and forty-ninth from the bottom in a class. How many students are there in the class?