Four young men $Raj$,$Prem$,$Ved$,and $Ashok$ are friends with four girls $Sushma$,$Kusum$,$Vimla$,and $Poonam$. $Sushma$ and $Vimla$ are friends. $Ved$'s girlfriend does not like $Sushma$ and $Vimla$. $Kusum$ does not care for $Ved$. $Prem$'s girlfriend is friendly with $Sushma$. $Sushma$ does not like $Raj$. Who is $Raj$'s girlfriend?

In a group of $5$ people,$K, L, M, N,$ and $R$ are present. The attributes are: $K, L, M$ are ambitious; $M, N, R$ are honest; $L, M, N$ are intelligent; and $K, N, R$ are industrious. Among these,who is neither industrious nor ambitious?

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. Which of the following groups includes all the men?

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 Professor of Economics?

$(i)$ 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 of place and mode is not correct?

$(i)$ Six friends $A, B, C, D, E$ and $F$ are sitting in a closed circle facing the centre.
$(ii)$ $E$ is to the left of $D$.
$(iii)$ $C$ is between $A$ and $B$.
$(iv)$ $F$ is between $E$ and $A$.
Who is to the right of $C$?