In a cricket season,India defeated Australia twice. West Indies defeated India twice,Australia defeated West Indies twice,India defeated New Zealand twice and West Indies defeated New Zealand twice. Which country has lost the most number of times?

$(i)$ $P, Q, R, S, T$ 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?

There are five friends $-$ $Sachin$,$Kunal$,$Mohit$,$Anuj$ and $Rohan$.
$Sachin$ is shorter than $Kunal$ but taller than $Rohan$.
$Mohit$ is the tallest.
$Anuj$ is a little shorter than $Kunal$ and a little taller than $Sachin$.
Who is the second tallest?

$(i)$ Eleven students,$A, B, C, D, E, F, G, H, I, J$ and $K$ are sitting in the first row of the class facing the teacher.
$(ii)$ $D$,who is to the immediate left of $F$,is second to the right of $C$.
$(iii)$ $A$ is second to the right of $E$,who is at one of the ends.
$(iv)$ $J$ is the immediate neighbour of $A$ and $B$ and third to the left of $G$.
$(v)$ $H$ is to the immediate left of $D$ and third to the right of $I$.
In the above sitting arrangement,which of the following statements is superfluous?

$(i)$ $A, B, C, D, E, F$ 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?

Five friends $A, B, C, D$ and $E$ are sitting on a bench.
$1.$ $A$ is sitting next to $B$.
$2.$ $C$ is sitting next to $D$.
$3.$ $D$ is not sitting with $E$.
$4.$ $E$ is on the left end of the bench.
$5.$ $C$ is on the second position from the right.
$6.$ $A$ is on the right side of $B$ and to the right side of $E$.
$7.$ $A$ and $C$ are sitting together.
$C$ is sitting between: