$A, B, C, D, E$ 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 is facing $A$?

Seven executives $P, Q, R, S, T, U$ and $W$ reach office in a particular sequence. $U$ reaches immediately before $P$ but does not immediately follow $S$. $R$ is the last one to reach office. $T$ follows immediately after $P$ and is subsequently followed by $W$. Among the executives,who reaches the office first?

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?

$(i)$ $P, Q, R, S, T$ 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 combinations of subject and place of stay is not correct?

$A$ 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 precedes Mechanics?

$1.$ There is a group of six persons $A, B, C, D, E$ and $F$ from a family. They are Professor,Manager,Lawyer,Jeweller,Doctor and Engineer.
$2.$ The Doctor is the grandfather of $F$ who is a Professor.
$3.$ The Manager $D$ is married to $A.$
$4.$ $C,$ the Jeweller is married to the Lawyer.
$5.$ $B$ is the mother of $F$ and $E.$
$6.$ There are two married couples in the family.
What is the profession of $E$?