List of practice Questions

If the system of equations $x + ky - z = 0, 3x - ky - z = 0$ and $x - 3y + z = 0$, has non-zero solution, then $k$ is equal to

The minimum value of $\frac{x}{\log \, x}$ is

If a plane meets the coordinate axes at $A,B$ and $C$ such that the centroid of the triangle is $(1, 2, 4)$, then the equation of the plane is

Two lines $ \frac{x-1}{2} = \frac{y+1}{3} = \frac{z -1}{4}$ and $ \frac{x-3}{1} = \frac{y-k}{2} = z $ intersect at a point, if $k$ is equal to

Present road side waste containers are normally dirty, stinking and spilling over. Design waste container bin(s) to be used in public places for segregation of the following categories of waste:
(a) Different types of packaging
(b) Wet and Dry organic waste
(c) Organic food waste
(d) All other kinds of leftover.

A woman is walking on a crowded railway platform. A train pulls in and people alight. A man suddenly comes up behind the woman, snatches her bag and runs away. The woman shouts for help.
A policeman standing near a vendor’s cart looks up and immediately gives chase.
Two women standing by, try to console the shocked woman. The thief runs towards the stairs to the overhead bridge. The policeman smartly throws his baton at the thief’s legs. The thief stumbles and comes crashing down on the platform. A group of men pounce on the thief and catch him. They retrieve the bag as the cop reaches and pins the thief down.
A loud cheer goes up amongst the watching public.
Assumption: You are one of the characters in this story. Visually illustrate the story as you see it unfolding in front of you through a sequence of minimum 20 frames.
Tell this story from the point of view of any one of the following characters:
The woman or
The thief or
The policeman or
A bystander standing on the platform
Evaluation criteria:
Visual narrative structure
Quality of illustrations
Character and Environment development

Design a graphical user interface (GUI) for a website of a movie theatre complex named ‘Navrang Chitrapat’ for booking movie tickets online. The complex has 3 theatres with each theatre screening a different film, three shows per day.
Present your design solutions in the form of screen shots. Draw a minimum of six screen shots explaining the booking procedure in a sequence.
Support your design solution with a brief note on the design decisions.
The web interface should present the following information to the user:
Basic Information about the theatre complex
Name of film
Date
Time
Availability of ticket
Price of tickets
Payment Options
Confirmation of Booking
Evaluation Criteria:
Usability of the Interface
Structure and clarity of Information
Visual quality of icons and overall screens
Logic of design decisions

Draw a freehand perspective drawing of a person opening the refrigerator door in the kitchen.
OR
Draw a freehand perspective drawing of a person standing next to a scooter parked on the street. Note:
DO NOT USE ANY DRAWING INSTRUMENTS LIKE RULER, COMPASS, SET-SQUARE etc.
DO NOT USE ANY FORM OF COLOUR.
USE ONLY PENCILS.
Evaluation Criteria:
Abilities in perspective drawing.
Light and shade and shadow.
Quality of lines.
Sense of scale and proportions.
Sense of composition.

Umbrellas are used mainly during the rainy season and usually remain unused during the rest of the year.
Creatively generate 3 alternative uses of the umbrella other than just protection from rain or sunshine. Illustrate your ideas in the form of sketches with short descriptions.

Jiggering & Jollying process is associated with:

Carbon Footprint refers to:

Pet bottles are best made using .............. process.

Tyeb Mehta is a well-known .............

How many A4 size paper sheets will make A0 size?

What is the meaning of 'latent'?

Which among these is not a dance form in India?

Identify the correct sentence:

The famous temple that was affected in June-July 2013 floods in Uttarakhand is:

......... is an example of monolithic temple architecture.

The film 'Ship of Theseus' was directed by: