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?
$5, 7, 2, 6, 5, 7, 3, 8, 3, 7, 3, 2, 5, 7, 2, 7, 3, 4, 8, 2, 6, 7, 8$

If $1^{st}$ October is Sunday,then $1^{st}$ November will be

$A$ 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?

In the following number sequence,how many such even numbers are there which are exactly divisible by its immediate preceding number but not exactly divisible by its immediate following number?
$3, 8, 4, 1, 5, 7, 2, 8, 3, 4, 8, 9, 3, 9, 4, 2, 1, 5, 8, 2$

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 $7$?
$2, 9, 7, 3, 1, 7, 3, 7, 7, 1, 3, 3, 1, 7, 3, 8, 5, 7, 1, 3, 7, 7, 1, 7, 3, 9, 0, 6$

In the series,$6, 4, 1, 2, 2, 8, 7, 4, 2, 1, 6, 3, 8, 6, 2, 1, 7, 1, 4, 1, 3, 2, 8, 6$,how many pairs of alternate numbers have a difference of $2$?