There is a group of five persons $A, B, C, D$ and $E$. In the group,there are 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 wife of $E$?

$(i)$ 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 $I$.
How many persons are seated between $K$ and $F$?

Prashant Arora has three children $-$ Sangeeta,Vimal,and Ashish. Ashish married Monika,the eldest daughter of Mr. and Mrs. Roy. The Roys married their youngest daughter to the eldest son of Mr. and Mrs. Sharma,and they had two children named Amit and Shashi. The Roys have two more children,Roshan and Vandana,both elder to Veena. Sameer and Ajay are sons of Ashish and Monika. Rashmi is the daughter of Amit. What is the surname of Rashmi?

$(i)$ 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 $S$?

In a group of six women,there are four table tennis players,four postgraduates in economics,one postgraduate in commerce,and three bank employees. Vimala and Kamala are among the bank employees,while Amala and Komala are unemployed. Komala and Nirmala are among the table tennis players. Amala,Kamala,Komala,and Nirmala are postgraduates in economics,of whom two are bank employees. If Shyamala is a postgraduate in commerce,who among the following is both a table tennis player and a bank employee?

$A, B, C, D, E,$ and $F$ (not necessarily in that order) are sitting in $6$ chairs regularly placed around a round table. It is observed that:
$1$. $A$ is between $D$ and $F$.
$2$. $C$ is opposite to $D$.
$3$. $D$ and $E$ are not on neighbouring chairs.
Which one of the following must be true?