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 Mrs. Roy related to Ashish?

$A$ 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?

Madhu and Shobha are good in Dramatics and Computer Science. Anjali and Madhu are good in Computer Science and Physics. Anjali,Poonam and Nisha are good in Physics and History. Nisha and Anjali are good in Physics and Mathematics. Poonam and Shobha are good in History and Dramatics. Who is good in Physics,History and Dramatics?

$(i)$ $A, B, C, D, E, F$ and $G$ are sitting on a wall and all of them are facing east. $(ii)$ $C$ is on the immediate right of $D$. $(iii)$ $B$ is at an extreme end and has $E$ as his neighbour. $(iv)$ $G$ is between $E$ and $F$. $(v)$ $D$ is sitting third from the south end. Which of the following pairs of people are sitting at the extreme ends?

There is a group of five persons $A, B, C, D$ and $E$. In the group,there is a Professor of Philosophy,a Professor of Psychology,and a Professor of Economics. $A$ and $D$ are ladies who have no specialization in any subject and are unmarried. No lady is a philosopher or an economist. There is a married couple in the group of which $E$ is the husband. $B$ is the brother of $C$ and is neither a psychologist nor an economist. Which of the following groups includes all the men?

Seven men $A, B, C, D, E, F$ and $G$ are standing in a queue in that order. Each one is wearing a cap of a different colour like violet,indigo,blue,green,yellow,orange and red. $D$ is able to see in front of him green and blue,but not violet. $E$ can see violet and yellow,but not red. $G$ can see caps of all colours other than orange. If $E$ is wearing an indigo coloured cap,then the colour of the cap worn by $F$ is