Among $P, Q, T, A$ and $B$ each having a different height,$T$ is taller than $P$ and $B$ but shorter than $A$ and $Q.$ $P$ is not the shortest. Who among them is the tallest?

In a school,the following codes were used during physical exercise. $1$ means 'start walking',$2$ means 'keep standing',$3$ means 'start running at the same spot',$4$ means 'sit down'. How many times will a student who performs the following sequence without error from the beginning to the end have to sit down?
$1, 2, 3, 4, 2, 3, 1, 4, 4, 3, 2, 2, 1, 2, 4, 3, 1, 4, 4, 1, 2$

There are $35$ students in a class. Suman ranks $3^{rd}$ among the girls in the class. Amit ranks $5^{th}$ among the boys in the class. Suman is one rank below Amit in the class. No two students hold the same rank in the class. What is Amit's rank in the class?

How many even numbers are there in the following sequence of numbers which are immediately followed by an odd number as well as immediately preceded by an even number?
$8, 6, 7, 6, 8, 9, 3, 2, 7, 5, 3, 4, 2, 2, 3, 5, 5, 2, 2, 8, 1, 1, 9$

How many $6$'s are there in the following series of numbers which are preceded by $7$ but not immediately followed by $9$?
$6, 7, 9, 5, 6, 9, 7, 6, 8, 7, 6, 7, 8, 6, 9, 4, 6, 7, 7, 6, 9, 5, 7, 6, 3$

$(I)$ 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$(s)$ of a week,the youngest and the eldest brothers are available at home at the same time?