In an examination question paper,there are $5$ items each under list $A$ and list $B.$ The examinees are requested to match each item under list $A$ with its corresponding item under list $B.$ Further it was given that
$(i)$ No examinee has given the correct answer.
$(ii)$ Answers of no two examinees were identical. Find the number of examinees attended the test paper.

Clearly,$Q$ is neither a hockey player nor a chess player. So,he must be a football player and thus cannot be a lady. $T$ is a husband (not a lady) and so must be a chess player. Hence,$R$ must be a hockey player,and therefore she must be a lady and $T$'s wife. So,the information can be summarised as follows:
$P -$ unmarried lady,does not participate in games.
$Q -$ brother of $R$,football player.
$R -$ hockey player,$T$'s wife.
$S -$ unmarried lady,does not participate in games.
$T -$ husband of $R$,chess player.
Who is the chess player?

$(i)$ Jayant,Kamal,Namita,Asha and Tanmay are five members of a family.
$(ii)$ They have their birth dates from January to May,each member in one of these months.
$(iii)$ Each one likes one particular item for his/her birthday out of Bengali Sweets,Chocolates,Pastries,Ice Cream and Dry Fruits.
$(iv)$ The one who likes Pastries is born in the month which is exactly middle in the months given.
$(v)$ Asha does not like Ice cream but brings Chocolates for Jayant in February.
$(vi)$ Tanmay who is fond of Bengali sweets is born in the next month immediately after Namita.
$(vii)$ Namita does not like Dry fruits or Ice cream.
Which combination of month and item is true for Jayant?

Six persons $A, B, C, D, E$ and $F$ are standing in a circle. $B$ is between $F$ and $C$; $A$ is between $E$ and $D$; $F$ is to the left of $D$. Who is between $A$ and $F$?

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?

There is a group of five persons $A, B, C, D$ and $E$. In the group,there is a Professor of Philosophy,a Professor of Psychology,and a Professor of Economics. $A$ and $D$ are ladies who have no specialization in any subject and are unmarried. No lady is a philosopher or an economist. There is a married couple in the group of which $E$ is the husband. $B$ is the brother of $C$ and is neither a psychologist nor an economist.
Who is the Professor of Philosophy?