Five children were administered psychological tests to know their intellectual levels. In the report,psychologists pointed out that the child $A$ is less intelligent than the child $B$. The child $C$ is less intelligent than the child $D$. The child $B$ is less intelligent than the child $C$ and child $A$ is more intelligent than the child $E$. Which child is the most intelligent?

$(i)$ $P, Q, R, S, T$ 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 a paying guest $(PG)$ 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 at home?

In a school,there were five teachers. $A$ and $B$ were teaching Hindi and English. $C$ and $B$ were teaching English and Geography. $D$ and $A$ were teaching Mathematics and Hindi. $E$ and $B$ were teaching History and French. More than two teachers were teaching which subject?

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.
What is the position of $B$?

$A$ is elder to $B$ while $C$ and $D$ are elder to $E$ who lies between $A$ and $C$. If $C$ is elder to $B$,which one of the following statements is necessarily true?

In a pile of reading material,there are novels,story-books,dramas,and comics. Every novel has a drama next to it,every story-book has a comic next to it,and there is no story-book next to a novel. If there is a novel at the top and the total number of books is $40$,what is the repeating order of the books in the pile?