The train for Lucknow leaves every two and a half hours from New Delhi Railway Station. An announcement was made at the station that the train for Lucknow had left $40 \,minutes$ ago and the next train will leave at $18:00 \,hrs.$ At what time was the announcement made?

$(I)$ 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?

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?
$12, 19, 21, 3, 25, 18, 35, 20, 22, 21, 45, 46, 47, 48, 9, 50, 52, 54, 55, 56$

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 the following list of numerals,how many $2$'s are followed by $1$'s but not preceded by $4$?

In a row of $40$ students facing North, Kailash is $6^{th}$ to the left of Soman. If Soman is $30^{th}$ from the left end of the row, how far is Kailash from the right end of the row (in $^{th}$)?