UCEED 2022 Question Paper with Answer Key PDFs January 23

A solid square pyramid has triangular cut-outs that pass through-and-through, as shown in the front and side views. How many surfaces are there in the resultant solid?

The figure shows different directed paths for going from \(A\) to \(B\) (no node can be revisited). What is the total number of distinct paths from \(A\) to \(B\)?

(Stroke-addition puzzle)

(Treasure-map book-spine ordering)

Perform the following steps:

Step 1: Start with \(x = 1\), \(y = 2\)
Step 2: Replace \(x\) by \(x \times y\)
Step 3: Replace \(y\) by \(y + 1\)
Step 4: If \(y = 5\), then go to Step 6, otherwise go to Step 5
Step 5: Go to Step 2
Step 6: Stop

What is the value of \(x\)?

The animation depicts morphing of faces and abstract forms. A face consists of two eyes, two ears, a nose, and a mouth. How many unique faces appear in this morphing animation?

If SQ = QR = RS = SP = PQ = PR = 21 units, what is the area of the BLACK portion?
(Assume \(\pi = \frac{22}{7}\))

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?

A total of 200 people were surveyed for newspaper readership. It was found that 100 people read publication X, 120 people read publication Y and 50 people do not read either X or Y. What is the total number of people who read either publication X or publication Y but not both?

Row 1 shows a word with 7 partial letters. Row 2 contains the parts that complete the word in Row 1. The parts in Row 2 are arranged randomly. What should be the correct sequence in Row 2?

A square of side 10 units, shaded in yellow, is cut using a square of side 5 units as shown in the figure. What is the perimeter of the resulting shape, shaded in yellow?

X is three times as old as Y was three years ago. After 17 years, Y will be as old as X is today. What is the sum of the ages of X and Y today?

Three vertical tubes P, Q, R can hold up to 5 marbles each. Only one marble can be moved at a time. What is the \emph{minimum} number of moves needed to take the red marble at the bottom of tube P to the \emph{bottom} of tube R?

How many right-angled triangles are there in the given figure?

The mobile is balanced. The sticks/strings are weightless. The black fish weighs \(5\,\)g. Find the weight of the red fish.

Gear–belt train with diameters (m): \(M=3,\ N=1,\ P=2,\ Q=1,\ R=3,\ S=2\). If \(M\) runs at \(100\) rpm, find the rpm of \(S\).

The given 3D object is made by combining three shapes—pentagons, squares and triangles. What is the total number of \emph{visible} squares?

The perimeters of an equilateral triangle and a regular hexagon are equal. The circumference of the red incircle of the triangle is \(10\) cm. What is the circumference of the blue incircle of the hexagon?

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?

Shown on the left is a socket with four holes in it. Which of the plugs will fit perfectly in this socket?

Which of the options show parts of the graph representing the equation \(x^{\,y}=25\)?

Which of the given figures can be drawn without lifting the pen? The lines can cross each other but cannot overlap on top of one another.

Two views of one block are shown. Through which of the cutouts (A–D) will the solid pass? (Multiple correct)

A step–stool must remain stable when a person stands on the top step. Which forms are stable? (Multiple correct)

Tile X was used to create a seamless (gapless) pattern when arranged as in Y.
Which of the tiles from the options will also create a seamless pattern (using the same
“translate-and-repeat” arrangement)?

A painted solid is shown from two different directions. Which option(s) can be the same solid seen from another direction?

Which of the options will form a knot when both the ends are pulled outward? (Figures A–D as shown.)

Figure P is to be tiled by 4 identical pieces (rotation/flip allowed). Which options (A–D) can tile P?

Shown below is an isometric view of a cuboidal glass container (2\(\times\)2\(\times\)3 units) containing a solid wooden block and some water. When tilted, which option(s) can be the \emph{side view(s) of the container?

Four solid pieces P, Q, R and S are assembled to form a \(2\times2\times2\) cube. Which of the cubes shown are \emph{NOT possible?

A contractor has a set of ceramic tiles of which one tile is shown on the left. Which of the options show(s) the pattern(s) created using this tile?

Which of the options can be made using all the four pieces shown in the top row? Flipping is allowed.

A square puzzle-board must be tiled by the six given polyomino pieces plus exactly one from the options (A–D). Pieces may be rotated/flipped; overlap is not allowed. Which option(s) work?

Which of the chairs will rock to and fro? (Multiple correct)

Which of the options is/are simple rotation(s) of the image P?

• (A) First rotated option
• (B) Second rotated option
• (C) Third rotated option
• (D) Fourth rotated option

Shown on the left is the development of a cube. Which of the options can be created when the shown development is folded?

Three paper clips are attached to a paper as shown on the left. Which of the options shows the back side of the paper?

Three paper clips are attached to a paper as shown on the left. Which of the options shows the back side of the paper?

An animation of revolving circles is shown on the left. If it is flipped horizontally and then flipped vertically, what will be the resulting animation?

You can set preferences in a mobile app by making a series of selections. You want to be notified of promotions and transactions, but do not want to receive newsletters. You want to allow access to your location and mic, but do not want to allow access to your contacts. What is the correct sequence of actions?

• (A) Check, skip, check, skip, check, check
• (B) Skip, Skip, check, skip, check, check
• (C) Check, skip, check, skip, check
• (D) Skip, skip, check, check, check, check

A story depicts Sabina encountering a spider. The continuing scene has to represent the \emph{spider’s point of view} (POV) of Sabina. What is the most appropriate option?

Which option is the correct mirror image of the figure given on the left (vertical mirror line)?

A solid sphere is on a horizontal plane. Parallel rays of light come from the upper–left, as shown. Which option shows the correct shadow on the plane?




Correct Answer: (A)

Four students designed stencils for the word \emph{pedagogy}. Which design will \emph{not} work as a stencil?




Correct Answer: (C)

A group of friends are on a trek. The sunlight is directly above them. No other light source is present. Identify the most appropriate lighting for this scene.

Identify the odd one.

Shown below are the 2 views of a cube. If face P is opposite to 1, Q is opposite to 2 and R is opposite to 3, which option can be folded to make the cube?

Which option completes the given pattern?

The options show maps of some states of India. In only one option the map has been \emph{scaled} (uniformly stretched or shrunk). Which option is it?

Gita photographed a plate of objects, then took two more photos by \emph{turning the plate} without disturbing the arrangement. Later, Shefali arranged the \emph{same objects} on a similar plate under similar lighting and took a photo. Which option shows \emph{Shefali’s} photo?

Two views of the same object are shown in the box. Which option depicts the same object?

The image shown below is made up of triangles only, from which the central portion is missing. Identify the missing portion.

The figure shown below is mirrored along the axes P, Q, R, S, T and U. What would be the resultant figure?

Shown below is a puzzle. What will fill the missing part?

An A4 size paper is cut as shown below and folded across the dotted lines such that it has eight faces named from 'P' to 'W'. It is further folded to make a small booklet for the purpose of a zine design. From the given options, select the correct sequence of pages.

• (A) P, Q, R, S, T, U, V, W
• (B) W, S, R, V, U, Q, P, T
• (C) W, S, R, Q, P, T, U, V
• (D) W, V, U, T, S, R, Q, P

The left image below shows Nandu’s study room. The image is sliced in 9 equal parts. From the given options, find the correct set of images.

• (A) Image set A
• (B) Image set B
• (C) Image set C
• (D) Image set D

The two color combinations shown on the left are mixed in the ratio 100%:50%. Which color combination, when mixed in the same ratio, will result in the color on the right?

Fill in the blank with the same font.

A folding paper fan P is dipped in orange colour and then in red colour as shown. Which option is the closest representation of the resultant fan?

A painting was created on the road as shown in the image. From the given options, identify which image was used to plan the painting (as seen from the top view).

A game board was set with multiple decks of cards arranged in such a way that sum total of the cards on each side was equal (1+2+3+4=10). However, a new card was added on one side (blue card) and the cards were rearranged to maintain the rule, namely, that the sum total equals 10. How many cards can be added (starting from original position as shown on the left) before the game ends and no more cards can be added? Assume that every position must have at least one card and the sum total rule of 10 must be followed.

• (A) 4
• (B) 6
• (C) 8
• (D) 10

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

Identify the correct silhouette of the coloured dragon.