$L, M, N$ and $P$ are sitting around a circle and facing the centre. $P$ is to the immediate left of $N$. $L$ is between $N$ and $M$. What is the position of $M$?

$(I)$ 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 a class of $10$ girls and $20$ boys,Jaya's rank is $4$ among the girls and $18$ in the class. What is Jaya's rank among the boys in the class?

Geeta is senior to Shilpa but not to Deepa. Gayatri is junior to Reepa. No one is senior to Fatima. Who is most junior?

Raman ranks sixteenth from the top and forty-ninth from the bottom in a class. How many students are there in the class?

Sachin is sitting to the immediate left of Meena but not next to Bharti. Parveen is sitting to the right of Bharti. If the four friends are sitting in a circle,who is sitting to the immediate right of Meena?