There are four friends $A, B, C, D$. One of them is a cricketer and studies Chemistry and Biology. $A$ and $B$ play football. Both football players study Maths. $D$ is a boxer. One football player also studies Physics. The boxer studies Maths and Accounts. All the friends study two subjects each and play one game each.
How many games are played and subjects studied by the four friends?

Four young men $Raj$,$Prem$,$Ved$,and $Ashok$ are friendly 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 $Raj$. With whom is $Sushma$ friendly?

$(i)$ $A, B, C, D, E, F$ and $G$ are sitting on a wall and all of them are facing east.
$(ii)$ $C$ is on the immediate right of $D$.
$(iii)$ $B$ is at an extreme end and has $E$ as his neighbour.
$(iv)$ $G$ is between $E$ and $F$.
$(v)$ $D$ is sitting third from the south end.
Which of the conditions $(i)$ to $(v)$ given above is not required to find out the place in which $D$ is sitting?

$(i)$ Seven books are placed one above the other in a particular way.
$(ii)$ History book is placed exactly above Civics book.
$(iii)$ Geography book is fourth from the bottom and English book is fifth from the top.
$(iv)$ There are two books in between Civics and Economics books.
How many books are there between Civics and Science books? To answer this question,which other extra information is required,if any,from the following?

$(i)$ $P, Q, R, S, T$ 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 paying guests $(PG)$ 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 $PG$.
$(v)$ $T$ 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 of the following pairs of students stay one each at a hostel and at home?

$1.$ Six friends $A, B, C, D, E$ and $F$ are sitting in a closed circle facing the centre.
$2.$ $E$ is to the left of $D$.
$3.$ $C$ is between $A$ and $B$.
$4.$ $F$ is between $E$ and $A$.
Which of the above given statements is superfluous?