Examine the following relationships among members of a family of $6$ persons $A, B, C, D, E,$ and $F$.
$1.$ The number of males equals that of females.
$2.$ $A$ and $E$ are sons of $F$.
$3.$ $D$ is the mother of two,one boy and one girl.
$4.$ $B$ is the son of $A$.
$5.$ There is only one married couple in the family at present.
Which one of the following inferences can be drawn from the above?

Five friends $A, B, C, D$ and $E$ are sitting on a bench.
$1.$ $A$ is sitting next to $B.$
$2.$ $C$ is sitting next to $D.$
$3.$ $D$ is not sitting with $E.$
$4.$ $E$ is on the left end of the bench.
$5.$ $C$ is on the second position from the right.
$6.$ $A$ is on the right side of $B$ and to the right side of $E.$
$7.$ $A$ and $C$ are sitting together.
What is the position of $D$?

$A$ 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.
The refresher course will start with which one of the following subjects?

$(A)$ 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 in the middle?

Among five boys,Vineet is taller than Manick,but not as tall as Ravi. Jacob is taller than Dilip but shorter than Manick. Who is the tallest in their group?

$1.$ There is a group of six persons $A, B, C, D, E$ and $F$ from a family. They are Professor,Manager,Lawyer,Jeweller,Doctor and Engineer.
$2.$ The Doctor is the grandfather of $F$ who is a Professor.
$3.$ The Manager $D$ is married to $A.$
$4.$ $C,$ the Jeweller is married to the Lawyer.
$5.$ $B$ is the mother of $F$ and $E$.
$6.$ There are two married couples in the family.
Which of the following is one of the pairs of couples in the family?