Eight friends $A, B, C, D, E, F, G$ and $H$ are sitting in a circle facing the centre. $B$ is sitting between $G$ and $D$. $H$ is third to the left of $B$ and second to the right of $A$. $C$ is sitting between $A$ and $G$ and $B$ and $E$ are not sitting opposite to each other.
Who is third to the left of $D$?

$(A)$ There are five friends.
$(B)$ They are standing in a row facing South.
$(C)$ Jayesh is to the immediate right of Alok.
$(D)$ Pramod is between Bhagat and Subodh.
$(E)$ Subodh is between Jayesh and Pramod.
Who is at the extreme left end?

There are five persons $P, Q, R, S$ and $T$. One is a football player,one is a chess player,and one is a hockey player. $P$ and $S$ are unmarried ladies and do not participate in any game. None of the ladies plays chess or football. There is a married couple in which $T$ is the husband. $Q$ is the brother of $R$ and is neither a chess player nor a hockey player.
The three ladies are

Five children were administered psychological tests to know their intellectual levels. In the report,psychologists pointed out that the child $A$ is less intelligent than the child $B$. The child $C$ is less intelligent than the child $D$. The child $B$ is less intelligent than the child $C$ and child $A$ is more intelligent than the child $E$. Which child is the most intelligent?

$A$ 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?

$(A)$ $P, Q, R, S$ and $T$ are sitting in a circle facing the centre.
$(B)$ $R$ is immediate left of $T.$
$(C)$ $P$ is between $S$ and $T.$
To find the answer to the above question,which of the following statements can be dispensed with?