In a car exhibition,seven cars of seven different companies viz. Cardilac,Ambassador,Fiat,Maruti,Mercedes,Bedford and Fargo were displayed in a row,facing east such that:
$(1)$ Cardilac car was to the immediate right of Fargo.
$(2)$ Fargo was fourth to the right of Fiat.
$(3)$ Maruti car was between Ambassador and Bedford.
$(4)$ Fiat,which was third to the left of Ambassador car,was at one of the ends.
Which cars are on the immediate either sides of the Cardilac car?

$A$ training college has to conduct a refresher course for teachers of seven different subjects: Mechanics,Psychology,Philosophy,Sociology,Economics,Science,and Engineering from $22^{nd}$ July to $29^{th}$ July.
$1.$ The course should start with Psychology.
$2.$ $23^{rd}$ July,being Sunday,should be a holiday.
$3.$ Science subject should be on the previous day of the Engineering subject.
$4.$ The course should end with Mechanics.
$5.$ Philosophy should be immediately after the holiday.
$6.$ There should be a gap of one day between Economics and Engineering.
Which subject precedes Mechanics?

$A, B, C, D, E$ and $F$ are seated in a circle facing the centre. $D$ is between $F$ and $B$. $A$ is second to the left of $D$ and second to the right of $E$. Who among the following is facing $D$?

Rohit,Kunal,Ashish,and John are students of a school. Three of them stay far from the school and one near it. Two study in class $IV$,one in class $V$,and one in class $VI$. They study Hindi,Mathematics,Social Science,and Science. One is good at all the four subjects while another is weak in all of these. Rohit stays far from the school and is good at Mathematics only,while Kunal is weak in Mathematics only and stays close to the school. Neither of these two nor Ashish studies in class $VI$. One who is good at all the subjects studies in class $V$. Name the boy who is weak in all the subjects.

If $(i)$ $P$ is taller than $Q$,$(ii)$ $R$ is shorter than $P$,$(iii)$ $S$ is taller than $T$ but shorter than $Q$,then who among them is the tallest?

$A$ group of eight members sit in a circle. $D$ is between $A$ and $F$ and is opposite to $G$. $E$ is to the right of $A$ but on the left of $C$,whose right-hand neighbor is $G$. $B$ enjoys having $H$ to his left and $F$ to his right. Find the member who is diagonally opposite to $A$.