Six roads lead to a country. They may be indicated by letters $X, Y, Z$ and digits $1, 2, 3$. When there is a storm,$Y$ is blocked. When there are floods,$X, 1$ and $2$ will be affected. When road $1$ is blocked,$Z$ also is blocked. At a time when there are floods and a storm also blows,which road$(s)$ can be used?

$(i)$ 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 $I$.
Which of the following statements is true in the context of the above sitting arrangements?

$(i)$ 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?

$(i)$ 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?

$(i)$ Eight persons $E, F, G, H, I, J, K$ and $L$ are seated around a square table,two on each side.
$(ii)$ There are three lady members and they are not seated next to each other.
$(iii)$ $J$ is between $L$ and $F$.
$(iv)$ $G$ is between $I$ and $F$.
$(v)$ $H,$ a lady member,is second to the left of $J$.
$(vi)$ $F,$ a male member,is seated opposite $E,$ a lady member.
$(vii)$ There is a lady member between $F$ and $I$.
Who among the following are the three lady members?

Compare the knowledge of persons $X, Y, Z, A, B$ and $C$ in relation to each other.
$X$ knows more than $A$.
$Y$ knows as much as $B$.
$Z$ knows less than $C$.
$A$ knows more than $Y$.
The best knowledgeable person amongst all is: