$(i)$ Five friends $P, Q, R, S$ and $T$ travelled to five different cities: Chennai,Calcutta,Delhi,Bangalore,and Hyderabad by five different modes of transport: 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.
The person travelling to Delhi went by which of the following modes?

Hitesh is richer than Jaya,whereas Mohan is richer than Pritam. Lalit is as rich as Jaya. Amit is richer than Hitesh. What conclusion can be definitely drawn from the above statements?

Six students $A, B, C, D, E$ and $F$ are sitting in the field. $A$ and $B$ are from Nehru House while the rest belong to Gandhi House. $D$ and $F$ are tall while the others are short. $A, C$ and $D$ are wearing glasses while the others are not. Which two students,who are not wearing glasses,are short?

$(i)$ $P, Q, R, S, T$ 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?

$(i)$ $P, Q, R, S, T$ 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 combinations of subject and place of stay is not correct?

$A, B, C, D,$ and $E$ are five persons standing in a bus queue. $A$ is a teacher standing to the right of $D$,who is an advocate. $B$ is a scientist and is standing to the left of $E$,who is an electrician. There are two persons between $B$ and $A$. $C$,who is a banker,stands to the right of $A$. Who is at the extreme right?