If the day before yesterday was Saturday,what day will fall on the day after tomorrow?

Among $A, B, C, D$ and $E$ each having a different weight,$D$ is heavier than $A$ and $E$,and $B$ is lighter than $C$. Who among them is the heaviest?

If the position of the first and the sixth digits of the sequence of numbers $8, 9, 0, 3, 2, 1, 4, 6, 7, 5$ are interchanged,the second and the seventh and so on,which number would be seventh from the right end?

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 of the week are all three brothers available at home at the same time?

Ajay left home for the bus stop $15 \,minutes$ earlier than usual. It takes $10 \,minutes$ to reach the stop. He reached the stop at $8:40 \,a.m.$ What time does he usually leave home for the bus stop?