Past Year Questions

A wooden artifact made using traditional tools and processes is shown below. Which option shows the relevant operations involved in its making, not necessarily in the actual production sequence?

Which option resembles an angry person when flipped vertically?

A tank with internal dimension 10 cm x 10 cm x 10 cm (length x width x height) is fully filled with spherical marbles, each marble having a diameter of 1 cm. Each layer of marbles should have equal number of marbles. Water is then poured into the tank. What is the volume of water in cubic centimeters required to fill the voids? (Use π = 22/7)

The word 'HOME' was printed on a circular disc and a smaller disc from the center was cut and removed from it. Later, another disc was cut from the smaller disc in the same manner. Find the correct set of discs, if the discs were rotated.

Which of the objects shown in the options form(s) a perfect circle?

Gear Q is fixed on the pulley R. If pulley P undergoes 4.5 full rotations, how many rotations will gear S undergo?

Which of the options will replace the question mark in the given sequence?

Find the number which will replace the question mark.

P and Q show two different views of the same solid object. Which of the options represent(s) the top view of the solid object?

Identify the correct option based on the given figure.

A matrix sequence is shown on the left. Which of the options given on the right can replace the matrix with question marks?

Some of the shapes in the image K are either flipped or rotated in the image J. What is the number of flipped shapes in image J?

In the image below, gear 1 rotates in the direction of the arrow. Which of the statements is / are CORRECT?

Which option is the basic building block for the pattern made on the left?

P, Q, R, S, T, U and V are bees living in separate cells of a 2D hive made of hexagonal cells. T and V are neighbours of P. R and S are neighbours of U. V does not share a wall with T, U or R. Q, being the queen, shares a wall with everyone. Which of the options must be TRUE?

A set of two frames with square openings when perfectly overlapped with each other allow light through it in certain patterns. Shown below are four sets of such frames. These frames are either hinged (A and B) or pivoted (C and D) to each other. Assuming that the red frames are fixed and the blue frames are allowed to move, which option(s) will allow light to pass through as in the pattern shown on the left?

Shown below is a transparent roller stamp. Identify the print made from the roller.

Which option is the correct mirror image of the figure given on the left?

Shown on the left is a pattern printed by repeated use of a single printing block. Which of the printing blocks shown on the right can be used to print the pattern?

In the figure shown below, the drive wheel P engages with the driven wheel Q through a pin marked in red. Which of the options describes the movement of Q, when P moves in the clockwise direction?

Read the following lines and answer the question given below: 'Pleading farts and ponderous burps / Upset the silence of dignified insides, / Sounds of occupation and exile.' What makes up dignified insides?

Which of the options on the right can be formed by folding the profile shown on the left?

What is the resulting colour?

Which option is the correct sequence representing a human walk?

Four keyboard layouts were designed to enter text on touch-screen mobile phones. Which of these layouts has the shortest finger travel distance for entering text in the English language? Assume, the mobile is held vertically in the left hand, and a right-handed user presses the keys using only the index finger of the right hand.

The image shows distribution of marks secured by 2500 students of a particular district in four subjects (English, Maths, Hindi, Science shown as bell curves). Which of the statements must be TRUE?

Figure P can be created by tiling 4 identical pieces. The pieces should not overlap while tiling. Which of the pieces shown in the options can be used to create figure P, assuming that you can rotate and flip them?

Choose the correct option.

Which of the options is the correct logo of India Post?

Four students were given a task to design a stencil for the word 'pedagogy' for spray painting. Shown in the options are designs of each student that are to be cut into stencils for painting. Identify the design that will NOT work as a stencil to paint the given word?

Which of the following birds is/are native to (found in) India?

A child accidentally drops a square ceramic tile. It breaks into smaller pieces as shown in Figure P. To avoid a scolding, she plans to compose a mural of broken pieces to gift to her mother. Which figure out of the given options could she make?

Which of the following is the correct logo of Apple Computers?

The figure below shows a 3 × 3 cube with 4 colours. The same coloured shapes are detached and shown separately for reference. Identify the shape of the red block from the given options.

A cube has its six faces numbered 1 to 6. A school boy tosses up the cube twice and notes down the two numbers appearing on top in these two tosses. He multiplies these two numbers and notes down the multiplication result. How many unique multiplication results can he possibly get through this tossing game?

Refer to the following image of a wooden artefact made using traditional manual tools, skills and processes. Identify the correct set of operations required to make it. The operations in the options are in a random order.

Which of the options will replace the question mark in the pattern shown? TEA — EAT — ATE — ?

Which of the following relationship(s) is/are represented by the Venn diagram?

Hue is the value of the equivalent pure (saturated) colour in any given colour. It is represented as a colour wheel going through the colour spectrum, from primary colours Red through Green, Blue and back to Red. If the hue values in degrees range from 0 to 360, what is the hue value of the colour Yellow?

Shown below is a paint splatter on a wall surface. A paint squeegee is pulled over it. Which of the options correctly represents the part of the pattern formed?

A circle and a semicircle are inscribed in a square as shown below. What fraction of the area of the square is the blue shaded area?

The image is a ceramic tile of dimension 20 cm x 20 cm. How many distinct patterns can you create by using two such ceramic tiles in a rectangular patch of 40 cm x 20 cm on the wall?

Given below are ten pieces of a puzzle. When arranged correctly they form a four-digit number. What is the number formed after the correct arrangement?

A large pixel grid pattern has a missing central section marked with a question mark. Identify the missing section.

From which of the options, six pieces of shape S can be cut?

Two friendly bugs were on their usual walk in the north-east direction. When the sun was in the east, they had an argument and one of them turned 45 degrees anticlockwise and walked away. Which of the images below correctly represent(s) their shadow now, when viewed by a person from top?

Which option(s) is/are simple rotations of the figure given below?

Sal tree seed moves in a particular manner while free falling. Which toy(s) given below has/have a similar movement?

Gita placed some objects on a white plate. She took a photo with a camera. Without disturbing the arrangement of objects, she took two more photos while turning the plate. Soon after, Shefali placed same objects on a similar plate and under similar lighting conditions, took a photo. Which option shows Shefali's photo?

If the image on the left is flipped horizontally (about Y-axis), and then rotated 180 degrees, what will be the resulting image?

A plane passes through three vertices of a cube and divides the cube into two parts, a green part and a blue part, and they remain together, as shown below. Eight such cubes are assembled to create a larger cube, where blue portion is on the inside as shown on the right. Calculate the volume of blue part in the larger cube, if the edge of the original cube is 1 cm.

The figures show four different schematics of two flexible strings. If all the ends are pulled tight, which of the options will form a knot?

A logo was designed by creating a pattern of orange petals using four semicircles. These petals were then inscribed in a green circular shape with an inner diameter of 14√2 (fourteen times square root of two) units, what is the area of the orange part in the logo? (Assume π = 22/7)

The figure shows a mechanism with a disc, two bars and a static surface connected to each other with hinges. The disc rotates about the hinge at its centre as shown. What is the path traced by point X (end point of the longest bar) in this planar set up?

Which of the following words are similar in meaning?

Which option will replace the question mark?

The image given below is made out of separate pieces. What is the least number of pieces that need to be moved and/or rotated and/or flipped for achieving symmetry about the central vertical axis?

Fatima is shown kicking the football. Identify the most appropriate illustration of the scene observed from behind.

Identify the final image created if a circular transparent plastic sheet P printed with opaque shapes is folded in the sequence shown below. (First folded along horizontal axis, then folded along vertical axis)

Five geometric blocks with their dimensions are given below. Calculate the length of the path as shown in the image below, between points A and B.

Figure P shows a profile of a bus with circular wheels on a flat road. The options below show profiles of 4 wheels and corresponding roads. If the 'wheel' always moves without slipping or sliding, which of the options will result in the bumpiest ride?

Pressure cookers are sometimes made using copper and stainless steel. In such a pressure cooker, which of the following statements is/are correct?

ChatGPT is an extremely popular artificial intelligence (AI) chatbot from OpenAI. Which of the following options is the correct symbol/logo of ChatGPT?

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?

A solid cone is revolving inside the circle as shown. Parallel sunlight at 45 degrees to ground is creating the shadow of the cone. Which option represents the total region covered by the shadow for one complete revolution when seen from the top?

9 coloured tiles are arranged in a 3x3 grid with the following rules:

In which of the option(s) dust-bin lids will open?

A paper strip is rolled and then punched by a triangular punch, as shown below. After unrolling the paper strip, what would be the pattern of holes on the paper?

Which option from the right will replace the circles labelled 1, 2 and 3 in the image on the left?

Various designs of an application screen are shown below. Identify the screen that INCORRECTLY depicts functions of standard interface components.

Which of the options will form a knot when both the ends are pulled outward?

Which option will fold into the pack shown in the image below?

Fill in the blanks to keep the sentence grammatically correct as well as meaningful. ........... the facts, she proceeded with her decision, finally ending up with a ............. situation.

Multiple pages of a book are often printed on a single sheet. The sheet is later folded and cut appropriately to get the pages in a correct sequence and orientation. Mistakes happened while printing this particular 16 page booklet. The sheet was printed with pages numbered and oriented as shown on the left. The sheet was folded and cut in the sequence as shown on the right. Given this, which of the options is/are TRUE about the final booklet?

Which option(s) contain(s) the exact fragments of the image shown on the left?

Select the CORRECT option that names the art movements sequentially from left to right.

The options show four ways of attempting to write the word "universe" in a mix of lower-case and upper-case letters. Which of the option(s) is/are correctly read as "universe"?

Which of the following is not a logo you will find at a petrol pump in India?

Construction materials are to be moved using the trolleys in the options. Assume friction is negligible. Which trolley requires the least amount of effort?

1, 2, 3 and 4 are photographs captured using a camera with a lens set at aperture P, Q, R or S. Which of the options is/are correct?

Image below shows configurations of jars filled with water. Which option will work as an air filter?

Which one of these materials would make a furniture lightest for the same design?

Identify the correct option based on the given figure.

Image shows part of a poster made by CDC in the context of COVID-19. Which of the statements is/are true?

Which option will replace the question mark?

Shown below are four options, each showing consecutive frames representing the movement of a pendulum of an old-style wall clock for an animation movie. Which is the correct option?

Match the historical Indian empires with their territorial extents as shown in the maps.

Sheetal is running. Which option denotes the most natural pose?

A cube is created by stacking 27 smaller cubes as shown in the figure. A plane, going through vertices A, B and C, cuts the cube as shown in the figure. How many smaller cubes will get cut?

If delulu = 010101, skibidi = 0010101, bussin = 010010, and ghosted = 0010010, then what is 010100?

Which spanner from the options will fit the maximum number of nuts shown on the left?

From the options, select the illustration that matches the given silhouette.

Which option will replace the question mark?

A sharpened pencil with eraser is shown in image P. How many sharpened pencils with erasers are in image Q?

X1 is a 3D form generated from the shape X, using certain 3D operations. It has 14 surfaces in total. If the same operations are carried out on shape Y, how many surfaces would the resulting 3D form have?

A printer wishes to print four colours, Crimson, Pink, Brown, and Indigo, using CMYK [Cyan, Magenta, Yellow and Key (black)] inks. The printer uses the CMYK combinations shown below (in % of each ink) to produce the colours on the right. Which combination(s) will result in the correct colour(s)?