$(i)$ $P, Q, R, S, T$ 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.
Who studies English?

There is a group of five persons $A, B, C, D$ and $E$. In the group,there is a Professor of Philosophy,a Professor of Psychology,and a Professor of Economics. $A$ and $D$ are ladies who have no specialization in any subject and are unmarried. No lady is a philosopher or an economist. There is a married couple in the group of which $E$ is the husband. $B$ is the brother of $C$ and is neither a psychologist nor an economist.
Who is the Professor of Philosophy?

$(i)$ $A, B, C, D, E, F$ and $G$ are sitting on a wall and all of them are facing east.
$(ii)$ $C$ is on the immediate right of $D$.
$(iii)$ $B$ is at an extreme end and has $E$ as his neighbour.
$(iv)$ $G$ is between $E$ and $F$.
$(v)$ $D$ is sitting third from the south end.
Which of the conditions $(i)$ to $(v)$ given above is not required to find out the place in which $D$ is sitting?

There are six persons $A, B, C, D, E,$ and $F$ in a school. Each of the teachers teaches two subjects: one compulsory subject and the other optional subject. $D's$ optional subject was History,while three others have it as a compulsory subject. $E$ and $F$ have Physics as one of their subjects. $F's$ compulsory subject is Mathematics,which is an optional subject for both $C$ and $E.$ History and English are $A's$ subjects,but in terms of compulsory and optional subjects,they are the reverse of those of $D's.$ Chemistry is an optional subject for only one of them. The only female teacher in the school has English as her compulsory subject. Which of the following has the same compulsory and optional subjects as those of $F$? (Note: The question asks for the person with the same subject distribution as $F$.)

There are five persons $P, Q, R, S$ and $T$. One is a football player,one is a chess player,and one is a hockey player. $P$ and $S$ are unmarried ladies and do not participate in any game. None of the ladies plays chess or football. There is a married couple in which $T$ is the husband. $Q$ is the brother of $R$ and is neither a chess player nor a hockey player. Who is the hockey player?

Five children were administered psychological tests to know their intellectual levels. In the report,psychologists pointed out that the child $A$ is less intelligent than the child $B$. The child $C$ is less intelligent than the child $D$. The child $B$ is less intelligent than the child $C$ and child $A$ is more intelligent than the child $E$. Which child is the most intelligent?