UCEED 2024 Part A question paper

57 questions · 200 marks · 120 minutes · each section marked as below

Numerical answer: +4 for a correct answer, no negative marking.
Multiple select: +4 when you tick every correct option and no wrong one; +1 for each correct option ticked when some are missing and none is wrong; -1 otherwise.
Multiple choice: +3 for a correct answer, -0.71 for a wrong one.

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Numerical answer

14 questions

1 $What is the maximum number of complete circles that will be seen, if the strips given below are re-arranged without rotating?$
2 $What is the total number of triangles in the figure given below?$
3 $Given below are ten pieces of a puzzle. When arranged correctly they form a four-digit number. What is the number formed after the correct arrangement?$
4 $A perspective view of a solid is shown below. The solid is symmetrical, and hidden surfaces such as the base are flat. What is the total number of surfaces in the solid?$
5 $A perspective view of a solid object is shown on the left. The object is cut simultaneously along THREE perpendicular planes as shown on the right. How many surfaces will the resulting pieces have in total (i.e. sum of the surfaces of all pieces)?$
6 $How many matching pairs of shoes (both left and right shoe) are present in the image below?$
7 $A typical football is made by stitching together 12 pentagons and 20 hexagons. How many vertices (junctions) are there in such a football?$
8 $A vehicle with a wheel arrangement is shown in Figure (i). This vehicle is travelling along a circular path as shown in Figure (ii). The wheels do not change their orientation while moving along the circular path. Figure (iii) shows the location of the centres of the wheels. The distance between the centres of Wheel-3 and Wheel-2 is 170 cm, and the distance between the centres of Wheel-1 and Wheel-2 is 180 cm. The radius of the circular path followed by Wheel-2 is 525 cm. What is the radius of the path followed by Wheel-1 in cm?$
9 $Shown below is an image of a circle and six equilateral triangles. The circumference of the circle is 18.85 cm. What is the area of ONE equilateral triangle in cm2? Assume \sqrt3 = 1.732 and π = 3.14.$
10 $A wooden block of dimension 10cm x 20cm x 30cm is cut into equal sized planks. The cut planks are stacked one above the other to achieve a total height of 100cm exactly. If the minimum number of planks are cut to achieve this height, then what is the volume of each plank in cm3?$
11 $Shown below are two stacked paper cups and a box with their dimensions. If stacking is allowed, then what is the maximum number of cups that can be stored in the box without deforming the cups?$
12 $Shown below is a configuration of FOUR solid spheres each of radius 40cm that are placed on four corners of a regular tetrahedron with side 120cm. The centres of the spheres coincide with the corners of the tetrahedron. What is the radius (in cm) of the largest sphere that can be accommodated within the tetrahedron?$
13 $Section P shows three views of a regular dice. TEN of such regular dice are stacked on an opaque table as shown in Section Q (two views of the same arrangement). What is the maximum sum that can be achieved adding the numbers on the visible surfaces from all angles?$
14 $What are the minimum number of tile pieces (shown on the right) that are required to create a path from tile A to tile B, such that ALL the following conditions are met: - All tiles are to be used at least once. - Tiles cannot overlap. - The path on a tile must be connected to another path of a tile. - The same type of tile cannot be used one-after-the other in a sequence. - Rotation of the tiles is not allowed. - Exclude tile A and tile B from the count.$

Multiple select

15 questions

15 $Which option(s) contain(s) stars that are NOT found in the image below?$
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16 $Alphabets A to Z are arranged starting at 6’o clock, and three alphabets with their respective positions are shown in the image given below. Which of the following combinations is/are correct?$
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17 $Which option(s) contain(s) the exact fragments of the image shown on the left?$
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18 $Shown below are the vertical cross-sections of handpumps. Which of the following options depict(s) the correct working principle?$
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19 $Which of the options will collapse completely?$
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20 $Two views of a solid object are shown on the left. Which of the following options is/are the view(s) of the same object?$
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21 $Which of the options is/are correct according to pigment colour theory?$
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22 $Four spheres start revolving clockwise in concentric circles from their initial positions as shown below. Yellow travels at 2m/sec, green at 4m/sec, red at 2m/sec and blue at 4m/sec. Which of the following statement(s) is/are TRUE?$
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23 $Shown below is a cross-section of two different trees of same species and age but found in different locations. Based on the image, which of the statement(s) is/are TRUE.$
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24 $Given on the left is the unwrapped surface of a hollow sphere that was intersected by a smaller solid sphere. Which of the options would result in this unwrapped surface?$
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25 $Six concentric white rings, each of equal thickness but having different diameters, are positioned on different planes in space. A one-point perspective view of the rings is shown below. Based on this view, which of the option(s) is/are TRUE?$
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26 $Which of the options can be created by the stamp shown on the left?$
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27 $Tile X was used to create a pattern which is seamless (without gaps) when arranged as shown in Y. Which tile(s) from the options will create a seamless pattern?$
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28 $Which of the following relationship(s) is/are represented by the Venn diagram?$
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29 $Shown below is a portion of a continuous strip. Which of the option(s) is/are part of this strip?$
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Multiple choice

28 questions

30 $If the image on the left is flipped horizontally (about Y-axis), and then rotated 180 degrees, what will be the resulting image?$
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31 $Which option represents the key frames of the animation shown below?$
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32 $Which option will replace the question mark?$
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33 $Which collection when arranged correctly will result in the silhouette of the pen shown below?$
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34 $Which option from the right will replace the circles labelled 1, 2 and 3 in the image on the left?$
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35 $Which option is the basic building block for the pattern made on the left?$
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36 $Which option represents the data in the pie-chart?$
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37 $Shutter speed is one of the parameters by which exposure of the image can be controlled. How does shutter speed control exposure?$
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38 $Given below is a folded sheet of paper with green colour on one side and red colour on the other side. Dotted lines represent the fold lines. Which option shows the correct fold lines when this sheet is unfolded?$
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39 $An animated character speaking a sentence in English is given below. Which sentence is the character saying?$
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40 $A cube, a triangular prism and a square pyramid of equal height are resting on a surface along a straight line, arranged in a random order. If the source of light is fixed and the light rays are parallel, which of the option shows the shadows correctly in top view?$
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41 $A ball with a thin elastic rod moves from left to right as shown below. Which option represents the movement of the rod?$
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42 $Which option will replace the question mark?$
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43 $Which option will replace the question mark?$
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44 $Which option will replace the question mark?$
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45 $A printed code word (in capital letters) has been shredded into strips and the strips are jumbled. Identify the code word.$
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46 $Which option will replace the question mark?$
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47 $Construction materials are to be moved using the trolleys in the options. Assume friction is negligible. Which trolley requires the least amount of effort?$
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48 $A cyclist was peddling a geared cycle on an upward inclined road and decided to stop on the incline. Which option can be used to stop the bicycle on the incline only using force on foot pedals?$
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49 $Which option represents the solid shown below?$
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50 $Two views of a cube are shown on the left. Which option represents the unwrapped cube on the left?$
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51 $During a long-distance sea voyage, without the Captain realising, steering of the ship started malfunctioning in the following manner. When the Captain was trying to turn the ship 60 degrees to the left, ship was turning 30 degrees to the right. When the Captain was trying to turn the ship 90 degrees to the left, ship was turning 90 degrees to the right. When the Captain was trying to turn the ship 45 degrees to the right, ship was turning 30 degrees to the left. When the Captain was trying to turn the ship 90 degrees to the right, ship was turning 45 degrees to the left. Before the malfunction, ship was going in North-East direction. After the malfunction started, without realising the problem, the Captain tried to turn 90 degrees to the left, then 90 degrees to the right, then 45 degrees to the right and finally 60 degrees to the left. Find the current direction of the ship.$
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52 $A hollow paper cone is cut by a spiral blade. The blade, the cone, the position of the cone and blade, and the line along which it gets cut are shown below. The surface of the cone is then unwrapped on a flat surface. Which option shows the unwrapped surface?$
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53 $Two rotating discs are placed on top of each other that are pivoted at the centre. The disc in front has two cut-outs, and the disc in the back has a line pattern. Both discs can rotate in any direction. Shown below are the four positions at which different parts of the line pattern are visible. Which option represents the line pattern on the back disc?$
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54 $Which option has the same visual grammar of the letters on the left?$
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55 $An irregular piece of paper is folded and cut as shown below. Which option shows the correct cuts when the paper is unfolded?$
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56 $Which option will replace the question mark?$
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57 $Shown below is the crawling sequence of a worm in eleven frames. Which option represents the missing frames?$
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