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 of 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 $D$. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject. Disregarding which is the compulsory and which is the optional subject,who has the same two-subject combination as $F$?

How many days of gap are there between Science and Philosophy?

$A, B, C, D, E$ and $F$,not necessarily in that order,are sitting on six chairs regularly placed around a round table. It is observed that:
$A$ is between $D$ and $F$.
$C$ is opposite to $D$.
$D$ and $E$ are not on neighbouring chairs.
Which one of the following pairs must be sitting on neighbouring chairs?

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 Computer Science,History and Dramatics?

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 $F$.)

$(i)$ 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.
Which of the following combinations is true for $S$?