There are five friends $-$ $Sachin$,$Kunal$,$Mohit$,$Amy$,and $Rohan$. $Sachin$ is shorter than $Kunal$ but taller than $Rohan$. $Mohit$ is the tallest. $Anuj$ is a little shorter than $Kunal$ and a little taller than $Sachin$. Who is taller than $Anuj$ but shorter than $Mohit$?

Madhu and Shobha are good in Dramatics and Computer Science. Anjali and Madhu are good in Computer Science and Physics. Anjali,Poonam and Nisha are good in Physics and History. Nisha and Anjali are good in Physics and Mathematics. Poonam and Shobha are good in History and Dramatics. Who is good in Physics,History and Dramatics?

How many days of gap are there between Science and Philosophy?

Six persons $A, B, C, D, E$ and $F$ are sitting in two rows,with three persons in each row. $E$ is not at the end of any row. $D$ is second to the left of $F$. $C$,the neighbor of $E$,is sitting diagonally opposite to $D$. $B$ is the neighbor of $F$. Which of the following are in the same row?

$(i)$ $P, Q, R, S, T$ and $U$ are six students pursuing their Master's degree in six different subjects $-$ English,History,Philosophy,Physics,Statistics and Mathematics.
$(ii)$ Two of them stay in a hostel,two stay as paying guests $(PG)$ and the remaining two stay at their home.
$(iii)$ $R$ does not stay as a $PG$ and studies Philosophy.
$(iv)$ The students studying Statistics and History do not stay as $PG$.
$(v)$ $T$ studies Mathematics and $S$ studies Physics.
$(vi)$ $U$ and $S$ stay in a hostel. $T$ stays as a $PG$ and $Q$ stays at home.
Which of the following combinations of subject and place of stay is not correct?

$(i)$ $P, Q, R, S, T$ and $U$ are six students pursuing their Master's degree in six different subjects $-$ English,History,Philosophy,Physics,Statistics and Mathematics.
$(ii)$ Two of them stay in a hostel,two stay as paying guests $(PG)$ and the remaining two stay at their home.
$(iii)$ $R$ does not stay as a $PG$ and studies Philosophy.
$(iv)$ The students studying Statistics and History do not stay as $PG$.
$(v)$ $T$ studies Mathematics and $S$ studies Physics.
$(vi)$ $U$ and $S$ stay in a hostel. $T$ stays as a $PG$ and $Q$ stays at home.
Which of the following pairs of students stay one each at a hostel and at home?