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?

$(A)$ There are five friends.
$(B)$ They are standing in a row facing South.
$(C)$ Jayesh is to the immediate right of Alok.
$(D)$ Pramod is between Bhagat and Subodh.
$(E)$ Subodh is between Jayesh and Pramod.
Who is at the extreme left end?

Rohit,Kunal,Ashish,and John are students of a school. Three of them stay far from the school and one near it. Two study in class $IV$,one in class $V$,and one in class $VI$. They study Hindi,Mathematics,Social Science,and Science. One is good at all the four subjects,while another is weak in all of these. Rohit stays far from the school and is good at Mathematics only,while Kunal is weak in Mathematics only and stays close to the school. Neither of these two nor Ashish studies in class $VI$. The one who is good at all the subjects studies in class $V$. Which two boys are good at Hindi?

$(i)$ Five friends $P, Q, R, S$ and $T$ travelled to five different cities: Chennai,Calcutta,Delhi,Bangalore,and Hyderabad by five different modes of transport: 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.
The person travelling to Delhi went by which of the following modes?

$A, B, C, D,$ and $E$ are five persons standing in a bus queue. $A$ is a teacher standing to the right of $D$ who is an advocate. $B$ is a scientist and is standing to the left of $E$ who is an electrician. There are two persons between $B$ and $A$. $C$ who is a banker stands to the right of $A$. How many persons are there to the right of $E$?

$(i)$ 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.
Who among the following travelled to Delhi?