Sangeeta remembers that her father's birthday was certainly after $8^{th}$ but before $13^{th}$ of December. Her sister Natasha remembers that their father's birthday was definitely after $9^{th}$ but before $14^{th}$ of December. On which date of December was their father's birthday?

If $3^{rd}$ December,$1990$ is Sunday,what day is $3^{rd}$ January,$1991$?

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

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

In the Olympic Games,the flags of six nations were flown on the masts in the following way: The flag of America was to the left of the Indian tricolour and to the right of the flag of France. The flag of Australia was on the right of the Indian flag but was to the left of the flag of Japan,which was to the left of the flag of China. Find the two flags which are in the centre.

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 $^{th}$)?