In a group of $5$ persons $A, B, C, D,$ and $E,$ there is a professor,a businessman,and an artist. $A$ and $D$ are ladies who are unmarried and do not work. Of the married couple in the group,$E$ is the husband. $B$ is the brother of $A$ and is neither a businessman nor an artist. $E$'s wife is an artist. Who is the professor?

$(i)$ Eight persons $E, F, G, H, I, J, K$ and $L$ are seated around a square table,two on each side.
$(ii)$ There are three lady members and they are not seated next to each other.
$(iii)$ $J$ is between $L$ and $F$.
$(iv)$ $G$ is between $I$ and $F$.
$(v)$ $H$,a lady member,is second to the left of $J$.
$(vi)$ $F$,a male member,is seated opposite $E$,a lady member.
$(vii)$ There is a lady member between $F$ and $I$.
Which of the following is true about $J$?

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 of both $C$ and $E$. History and English are $A$'s subjects,but in terms of compulsory and optional subjects,they are the reverse of $D$'s. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject. Who is the female member in the group?

$(i)$ There are seven books,one each on Psychology,Hindi,English,Sociology,Economics,Education,and Accountancy,lying on a table one above the other.
$(ii)$ Sociology is on the top of all the books.
$(iii)$ Accountancy is immediately below Education,which is immediately below Sociology.
$(iv)$ Economics is immediately above Psychology,but not in the middle.
$(v)$ Hindi is immediately below Psychology.
If Sociology and English,Accountancy and Hindi,and Education and Psychology interchange their positions,which book will be between Psychology and Sociology?

Five men $A, B, C, D$ and $E$ read a newspaper. The one who reads first gives it to $C$. The one who reads last had taken it from $A$. $E$ was not the first or last to read. There were two readers between $B$ and $A$. Who read the newspaper last?

$(i)$ Five friends $P, Q, R, S$ and $T$ travelled to five different cities of Chennai,Calcutta,Delhi,Bangalore and Hyderabad by five different modes of transport of Bus,Train,Aeroplane,Car and Boat from Mumbai.
$(ii)$ The person who travelled to Delhi did not travel by boat.
$(iii)$ $R$ went to Bangalore by car and $Q$ went to Calcutta by aeroplane.
$(iv)$ $S$ travelled by boat whereas $T$ travelled by train.
$(v)$ Mumbai is not connected by bus to Delhi and Chennai.
Which of the following combinations is true for $S$?