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 $2$ are affected. When road $1$ is blocked,$Z$ is also blocked. At a time when there are floods and a storm also blows,which road$(s)$ can be used?

$A, B, C, D, E$ and $F$ are seated in a circle facing the centre. $D$ is between $F$ and $B$. $A$ is second to the left of $D$ and second to the right of $E$. Who among the following is facing $D$?

$(i)$ 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.
Which of the following combinations is true for $S$?

$A$ training college has to conduct a refresher course for teachers of seven different subjects: Mechanics,Psychology,Philosophy,Sociology,Economics,Science,and Engineering from $22^{nd}$ July to $29^{th}$ July.
$1$. The course should start with Psychology.
$2$. $23^{rd}$ July,being Sunday,should be a holiday.
$3$. Science subject should be on the previous day of the Engineering subject.
$4$. The course should end with Mechanics.
$5$. Philosophy should be immediately after the holiday.
$6$. There should be a gap of one day between Economics and Engineering.
Which subject will be on Tuesday?

There are five persons $P, Q, R, S$ and $T$. One is a football player,one is a chess player,and one is a hockey player. $P$ and $S$ are unmarried ladies and do not participate in any game. None of the ladies plays chess or football. There is a married couple in which $T$ is the husband. $Q$ is the brother of $R$ and is neither a chess player nor a hockey player. Who is the hockey player?

On a shelf are placed six volumes side-by-side labelled $A, B, C, D, E$ and $F$. $B, C, E, F$ have green covers while others have yellow covers. $A, D, B$ are new volumes while the rest are old volumes. $A, C, B$ are law reports while the rest are medical extracts. Which two volumes are old medical extracts and have green covers?