$(i)$ There are seven books,one each on Psychology,Hindi,English,Sociology,Economics,Education,and Accountancy,lying on a table one above the other.
$(ii)$ Sociology is on the top of all the books.
$(iii)$ Accountancy is immediately below Education,which is immediately below Sociology.
$(iv)$ Economics is immediately above Psychology,but not in the middle.
$(v)$ Hindi is immediately below Psychology.
Which three books are between Accountancy and Hindi?

$B$ is twice as old as $A$ but twice younger than $F$. $C$ is half the age of $A$ but twice the age of $D$. Which two persons form the pair of oldest and youngest?

At the end of a cricket series,when five players were arranged in the ascending order of runs scored by them,$O$ was fourth while $N$ was first. When they were arranged in descending order for wickets taken by them,$K$ replaces $O$ while $O$ replaces $L$. $M$'s position remains unchanged. $K$ has scored more runs than $M$. $L$ is having first rank in one ranking and fifth in another. Who has scored the highest runs in the series?

$(i)$ 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?

$A$ 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 is followed by Science?

Consider the following:
$1.$ Saxena,David,Jain,and Kumar were District Collectors at places $P, Q, R,$ and $S$ respectively in $1970$.
$2.$ In $1972$,they were transferred; Saxena and Jain interchanged places. Kumar and David also interchanged places.
$3.$ One year later in $1973$,they were again transferred such that David and Jain interchanged places,and Saxena and Kumar were also interchanged.
What should be the next round of transfers so that all the four persons could have been posted at all the four places?