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. $D, B$ and $A$ were teaching which of the following subjects?

$(i)$ 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 of place and mode is not correct?

Prashant Arora has three children $-$ Sangeeta,Vimal,and Ashish. Ashish married Monika,the eldest daughter of Mr. and Mrs. Roy. The Roys married their youngest daughter to the eldest son of Mr. and Mrs. Sharma,and they had two children named Amit and Shashi. The Roys have two more children,Roshan and Vandana,both elder to Veena. Sameer and Ajay are sons of Ashish and Monika. Rashmi is the daughter of Amit. How is Sameer related to the father of Monika?

There are five friends $-$ Sachin,Kunal,Mohit,Anuj,and Rohan. Sachin is shorter than Kunal but taller than Rohan. Mohit is the tallest. Anuj is a little shorter than Kunal and a little taller than Sachin. If they stand in the order of their heights,who will be in the middle?

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?

Given the following information:
$(A)$ Gopal is shorter than Ashok but taller than Kunal;
$(B)$ Navin is shorter than Kunal;
$(C)$ Jayesh is taller than Navin;
$(D)$ Ashok is taller than Jayesh.
Which of the given statements is not necessary to determine the relative heights of all individuals?