$(i)$ Five friends $P, Q, R, S$ and $T$ travelled to five different cities of Chennai,Calcutta,Delhi,Bangalore and Hyderabad by five different modes of transport of Bus,Train,Aeroplane,Car and Boat from Mumbai.
$(ii)$ The person who travelled to Delhi did not travel by boat.
$(iii)$ $R$ went to Bangalore by car and $Q$ went to Calcutta by aeroplane.
$(iv)$ $S$ travelled by boat whereas $T$ travelled by train.
$(v)$ Mumbai is not connected by bus to Delhi and Chennai.
Who among the following travelled to Delhi?

There are six persons $A, B, C, D, E,$ and $F$ in a school. Each of the teachers teaches two subjects: one compulsory subject and the other optional subject. $D's$ optional subject was History,while three others have it as a compulsory subject. $E$ and $F$ have Physics as one of their subjects. $F's$ compulsory subject is Mathematics,which is an optional subject for both $C$ and $E.$ History and English are $A's$ subjects,but in terms of compulsory and optional subjects,they are the reverse of those of $D's.$ Chemistry is an optional subject for only one of them. The only female teacher in the school has English as her compulsory subject. Which of the following has the same compulsory and optional subjects as those of $F$? (Note: The question asks for the person with the same subject distribution as $F$.)

There are $5$ bus stops $A, B, C, D,$ and $E$ at equal intervals. $C$ is not the middle stop. $A$ and $E$ are not terminal stops. $C$ comes twice as many stops before $D$ in upward journey as $B$ comes after $A$. $D$ is the first stop in the downward journey. Give the correct sequence of the stops in the downward journey.

$Mr. A, Miss B, Mr. C$ and $Miss D$ are sitting around a table and discussing their trades.
$(1)$ $Mr. A$ sits opposite to the cook.
$(2)$ $Miss B$ sits to the right of the barber.
$(3)$ The washerman is on the left of the tailor.
$(4)$ $Miss D$ sits opposite $Mr. C$.
What are the trades of $A$ and $B$?

In an examination,Raj got more marks than Mukesh but not as many as Priya. Priya got more marks than Gaurav and Kavita. Gaurav got less marks than Mukesh but his marks are not the lowest in the group. Who is second in the descending order of marks?

Eight books are kept one over the other. Counting from the top,the second,fifth and sixth books are on Plays. Two books on Plays are between two books on Composition. One book of Plays is between two books on Poetry while the book at the top of the book of Literature is a book of Composition. Which book is fourth from the top?