List of practice Questions

Building upon the visual elements given in the ten boxes, create recognizable images and give a title to each. A theme for each of the first three boxes has been given as printed in the answer booklet. Use only BLACK pencil/pen. Draw only within the boundaries of the boxes.
Evaluation criteria:

Originality and diversity of ideas, clarity and neatness of sketches

A rural hospital uses the following icon system to depict Male, Female, Cardiology, Casualty, Ophthalmology and Neurology. The hospital then decides to expand, and opens four new wards which are as follows: \begin{itemize
COVID-19 Isolation Ward
Cancer Ward
Paediatric (Children) Ward
Maternity Ward
Create icons for these four wards using only BLACK colour. All icons should follow the same visual language. Draw the icons in squares provided in the answer booklet.}
Evaluation criteria:

Consistency with given examples
Composition
Clarity of communication

Image of a kid's water bottle is shown below. Visualise a lunch box to pair with it. It should be matching in design language with relevant details. Sketch and render the bottle and the lunch box with required graphics.
Evaluation Criteria:

Originality in the form of the lunch box, and its proportion
Visual consistency with the form of the water bottle.
Relevant details for the lunch box.
Surface shading
Quality of line/strokes

Shown below is a picture of a wash basin in a primary school. In the space provided in the answer booklet, list down ten various problems related to the possibility of a viral infection like COVID-19 spreading in the school. (5 marks)
Identify three problems that you consider to be the most important and clearly illustrate them.
You will be evaluated for:

Quality and diversity of your observation
Analytical skills
Communication

The front view of a solid object is shown in the image. If the views from all six sides are the same, how many surfaces does it have?

Select one of the following four options that will make the 2nd pair analogous to the 1st pair given.
CHOCOLATE: COHCOETAL: ACTOR:?

Consider the following statements :
Statement 1 : If y = log₁₀x + log_ex then \(\frac{dy}{dx}=\frac{\log_{10}e}{x}+\frac{1}{x}\)
Statement 2 : \(\frac{d}{dx}(\log_{10}x)=\frac{\log x}{\log 10}\ \text{and}\ \frac{d}{dx}(\log_ex)=\frac{\log x}{\log e}\)

The total share of A,B and C is 669 in such a way that the ratio of the shares of A and B is 17:27 and that of B and C is 2:5. What is the share of C?

There are apples and oranges in a basket that can carry a maximum of 50 fruits. Some fruits are rotten and some are good. The number of rotten apples is twice the number of good apples. The number of good oranges is twice the number of rotten oranges. The number of oranges is thrice the number of apples. If there are more than 40 fruits in the basket, what is the total number of apples and oranges?

A digital clock reads hours and minutes. The sum of the digits it displays at 12:00 is 3 (1+2+0+0). At 12:01 it is 4 (1+2+0+1) and so on. What is the sum of all the digits it displays from 12:00 to 12:59?

Which four pieces of a jigsaw puzzle can be combined to form a square?

Pick the correct answer from options given below

Perspective view of an object is shown. The object is rotated with respect to the fixed coordinate system as indicated:
90 degrees clockwise about x-axis, 90 degrees anti clockwise about y-axis, 90 degrees anticlockwise about z-axis. All rotations are when viewed from a point on the positive axis towards the origin. Which one of the following perspective view options will be the result of the rotations?

Three squiggles were drawn on three transparent square sheets in semi-transparent ink and piled together. Some sheets may be rotated. Additionally, in some options, some squiggles are different than the ones shown. In which option(s), do the squiggles look different?

A beat policewoman is starting her midnight walk. Starting from the signal P1, she heads west and takes the second right. Thereafter, she continues her journey, taking the second left, second left, third right, third right, and after that she goes and ends her beat walk at the next signal. In the given map, some of the intersections have traffic light signals and are marked with dots. Which of the options is/are true?

Three white squares overlap the cyan square such that one of their corners meet at the centre of the cyan square as shown in the figure. What is the ratio of the area of the shaded portion to the original cyan square?

How many triangles are there in the figure shown?

Chinnu was excited about the New Year when she bought a new calendar to keep on her study table. While playing, her baby sister poked a hole through the entire calendar from January through December as seen in the image. If every page had the same 5 week table structure for each month, and if all the consecutive months were printed back to back, which date in the month of April has a hole in it?

The corners of the green and red triangles coincide with the centres of the circles. All the circles have equal diameters and adjacent circles touch each other. If the area of the green triangle is 3.14, what is the area of the red triangle?

A Street has 13 houses in a row as shown in the figure. Some residents in the first house tested positive for COVID-19. The virus spreads in two ways: it can spread to the next house, or jump directly to the third house. Residents of house number 2 can get infection in only one way, the house number 3 in two ways, the house number 4 in 3 ways, the house number 5 in 5 ways and so on. If the virus only progresses from Left to Right direction, in how many ways can the residents of the house number 13 get infected?

When young Moosa started selling dosas on a street corner to support his daughter Lisa’s education, his age was six times that of Lisa’s. He started selling dosas for ₹2 each and he increased its price by ₹1 every year. Lisa grew up to be a successful lawyer and on Moosa’s 60th birthday she gifted him with a small shop near their house, the board of which is seen in the image. In which year Lisa will celebrate her 60th birthday?

Consider the following quote from J C Kumarappa’s Economy of Permanence:
“Man comes nearest to his God, the creator, when he utilizes his brain power to
marshal mechanical forces to serve his purposes. To do so in a way that will bring
blessings and not destruction, he has to follow closely nature’s way to get the best out
of it. We cannot get the co-operation of nature purely on our own terms. Any attempt
to do so will bring violent destruction in its wake.”
Which of the options is/are implied by the quote?

After retiring, eight friends: Balram, Bhandari, Das, Munshi, Nadkarni, Parmar, Patel and Sethuraman purchased a square plot of land. They divided the land in 8 equal plots and a common back garden as shown. Parmar was allotted plot number 1. Balram preferred a house on the west. Patel chose to stay the farthest from Nadkarni’s house. Munshi and Bhandari became neighbours of Nadkarni. Sethuraman became a neighbour of Patel. Nadkarni hails from the North East, so he chose the plot on the North East.
Which of the options MUST BE true?