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.

$(i)$ $P, Q, R, S, T$ 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 pairs of students stay one each at a hostel and at home?

There are four friends $A, B, C, D$. One of them is a cricketer and studies Chemistry and Biology. $A$ and $B$ play football. Both football players study Maths. $D$ is a boxer. One football player also studies Physics. The boxer studies Maths and Accounts. All the friends study two subjects each and play one game each.
How many games are played and subjects studied by the four friends?

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

Six persons $A, B, C, D, E$ and $F$ are sitting in two rows,with three persons in each row. $E$ is not at the end of any row. $D$ is second to the left of $F$. $C$,the neighbor of $E$,is sitting diagonally opposite to $D$. $B$ is the neighbor of $F$. Which of the following are in the same row?

Madhu and Shobha are good in Dramatics and Computer Science. Anjali and Madhu are good in Computer Science and Physics. Anjali,Poonam and Nisha are good in Physics and History. Nisha and Aryali are good in Physics and Mathematics. Poonam and Shobha are good in History and Dramatics. Who is good in Physics,Dramatics and Computer Science?