$(i)$ $P, Q, R, S, T$ 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 a paying guest $(PG)$ 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 a $PG$.
$(v)$ $T$ studies Mathematics and $S$ studies Physics.
$(vi)$ $U$ and $S$ stay in a hostel. $T$ stays as a $PG$ and $Q$ stays at home.
Which subject does $Q$ study?

In a school,there were five teachers. $A$ and $B$ were teaching Hindi and English. $C$ and $B$ were teaching English and Geography. $D$ and $A$ were teaching Mathematics and Hindi. $E$ and $B$ were teaching History and French. Which of the following pairs was teaching both Geography and Hindi?

$(i)$ There are six friends $A, B, C, D, E$ and $F$.
$(ii)$ Each one is proficient in one of the games,namely Badminton,Volleyball,Cricket,Hockey,Tennis and Polo.
$(iii)$ Each owns a different coloured car,namely yellow,green,black,white,blue and red.
$(iv)$ $C$ does not play either Tennis or Hockey and owns neither blue nor yellow coloured car.
$(v)$ $D$ plays Polo and owns a yellow coloured car.
$(vi)$ $E$ owns a white car and plays Badminton.
$(vii)$ $B$ does not play Tennis,he owns a red coloured car.
$(viii)$ $A$ plays Cricket and owns a black car.
Which of the following combinations of colour of car and game played is not correct?

Ravi is not wearing white and Ajay is not wearing blue. Ravi and Sohan wear different colours. Sachin alone wears red. What is Sohan's colour,if all four of them are wearing different colours?

$(A)$ 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.
To find the arrangement of these five friends,which of the given statements can be dispensed with?

Five persons $A, B, C, D$ and $E$ are sitting in a row facing you such that $D$ is on the left of $C$ and $B$ is on the right of $E$. $A$ is on the right of $C$ and $B$ is on the left of $D$. If $E$ occupies a corner position,then who is sitting in the centre?