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?

If the third day of a month is Monday,which of the following will be the fifth day from $21^{st}$ of the month?

If Thursday was the day after the day before yesterday five days ago, what is the least number of days ago when Sunday was three days before the day after tomorrow?

How many numbers from $1$ to $100$ are there,each of which is not only exactly divisible by $4$ but also has $4$ as a digit?

$(I)$ 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?

Among $B, F, J, K$ and $W$ each having a different weight, $F$ is heavier than only $J.$ $B$ is heavier than $F$ and $W$ but not as heavy as $K.$ Who is the third heaviest among them?