UCEED 2023 Part A question paper

68 questions · 240 marks · 150 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

18 questions

1 $How many times does the shape sequence (shown on the top) appear in the grid below? The sequence may appear top-to-bottom, bottom-to-top, left-to-right, right-to-left or at an angle.$
2 $\pi$
3 $What is the maximum number of stars that can be packed inside the blue colour boundary including the one that is shown in the image below? The stars can be scaled but should not overlap. At least 4 points of every star should touch the blue colour boundary.$
4 $A dice throw can result in the numbers 2, 3, 5 or 6. Every 4th throw will result in 3. What is the minimum number of times the dice has to be thrown for the pawn to move from zero to reach exactly at 100?$
5 $Count the number of human figures in the picture.$
6 $In the figure given below, the area of the largest regular hexagon is 720 units. What is the area of the shaded portion?$
7 $A tetrahedron of side 18 units and a cone having base diameter of 10 units are cutting through a sphere as shown. Count the total number of surfaces in the resultant sphere.$
8 $Tim cycled from his house to his friend John's house and then on to his (Tim's) school without stopping. The average speed for his entire journey was 26 km/hr. The distance from John's house to Tim's school is 0.3 times the distance from Tim's house to John's house. Tim's speed from John's house to Tim's school was twice that of Tim's speed from Tim's house to John's house. What was Tim's average speed from John's house to Tim's school in km/hr?$
9 $Identify the total number of differences in the images shown below.$
10 $Count the number of cats in the given image.$
11 $Two trains of unequal length have speeds of 60 and 50 km/hr. When they travel in opposite directions in straight line tracks, they take 9 seconds to completely cross each other. When they travel in the same direction, a person in the faster train sees the slower train for 18 seconds. For how much time (in seconds) would a person in the slower train see the faster train when the trains travel in the same direction?$
12 $\pi$
13 $\pi$
14 $What number replaces the question mark? (The paper prints only the picture for this question.)$
15 $Shown below are four sides of a rectangular dice. If 3 such dice are thrown together, what is the probability of getting a total sum of 4? Consider the value of the blank side to be zero.$
16 $How many distinct types of characters appear in the figure given below?$
17 $Objects made out of cardboard are shown in the image below. Count the number of objects shown as open containers in this image.$
18 $A triangular pyramid with equal sides can be flipped on its edges without slipping or sliding as shown on the left. What is the minimum number of flips needed for the pyramid to reach the finishing line if the starting position is as shown on the right?$

Multiple select

18 questions

19 $Shown in the top row are 4 pieces of building blocks. Which of the option(s) is/are made using all four pieces?$
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20 $A printer wishes to print four colours, Crimson, Pink, Brown, and Indigo, using CMYK [Cyan, Magenta, Yellow and Key (black)] inks. The printer uses the CMYK combinations shown below (in % of each ink) to produce the colours on the right. Which combination(s) will result in the correct colour(s)?$
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21 $Which of the statement(s) is/are true?$
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22 $The figure below shows four mechanisms made using links and hinges. If circles represent hinges, which of the option(s) will allow relative motions between the links?$
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23 $Shown on the left is a sheet of stickers. Identify the option(s) in which monkeys of the same species are sitting together.$
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24 $Different views of the cross section of a fish toy are shown here. The points P and Q are connected in such way that the fish tail waves. The grey colour gear and the green colour part are joined together. The rod is free to move depending on how it is connected to the green part. Which of the option(s) will work to wave the tail?$
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25 $A tourist is shooting photographs of an ancient building from four locations A, B, C and D marked by x. The tourist is using only one camera without changing its magnification. Identify the location(s) in the floor plan which will result in the given photograph.$
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26 $The options show four ways of attempting to write the word "universe" in a mix of lower-case and upper-case letters. Which of the option(s) is/are correctly read as "universe"?$
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27 $Which of the option(s) is/are from the same font family (i.e. weight and/or width variations) of the words given below?$
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28 $Which of the pieces could be used four times individually to form a square? The pieces can be rotated and flipped but should not be overlapped.$
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29 $Shown below is a coconut broken into two pieces. Identify the correct representation(s) of the coconut.$
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30 $Shown below is an image of solid rings of black and white patterns. A ring going inside another is called a link. Which of the statement(s) is/are TRUE.$
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31 $The options show different configurations of refill bottles of mosquito repellent, for an atypical socket shown on the left. After fitting, the red mark on the refill bottle must align with the red mark on the machine. Which of the option(s) will allow all of the liquid to be consumed?$
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32 $With reference to the image below, which of the statement(s) is/are false?$
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33 $In which of the option(s) dust-bin lids will open?$
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34 $On 16th July 2022, Parvathy bought 4 new pairs of socks A, B, C and D to train herself for the Marathon race on Gandhi Jayanti. She started her training next day wearing the new socks. She trained every day, including the day of the marathon, wearing the socks (one pair every day) in the following sequence: C, A, B and D. Unfortunately, she could not train from 3rd to 22nd September 2022 as she was unwell. She resumed her training on 23rd wearing pair 'A' socks and continued with the same sequence till the event day. Identify the pair of socks that Parvathy wore the maximum during her entire training period.$
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35 $The rectilinear hollow box shown on the left is cut along plane 1 and plane 2. Which of the option(s) show(s) correct unfolded pieces?$
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36 $Shown below are tables of a new design. Which table(s) will not tilt, if given a small perturbation in any direction?$
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Multiple choice

32 questions

37 $Imagine that you are travelling in a passenger train, with 22 coaches, depicted by curved black lines in the options. You are sitting on a window seat in the 19th coach (seat position marked as P). At a given instant of time when the train is heading northwards, select the option which will allow you to see the engine at the front clearly through the window of your seat.$
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38 $Which of the moulds shown on the right can be used to make the cake shown on the left?$
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39 $Which of the options shown on the right, when folded at the lines, will resemble the paper shown on the left?$
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40 $The faces of a solved Rubik's Cube are shown in the figure. A 90 degree clock wise turn of a face T is denoted as 'T+' and 90 degree anticlockwise rotation is denoted as 'T -'. What is the result of the operation T+, D+, R-, L-? All operations are done looking directly at the face.$
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41 $Shown on the left are all the 6 faces of a cube. Which option can be folded into this cube?$
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42 $Which option replaces the question mark? (The paper prints only the picture for this question.)$
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43 $The white part in the shoe sole shown left represents the embossed / raised area. Find out the right footprint of the shoe from the given options.$
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44 $Which option replaces the question mark? (The paper prints only the picture for this question.)$
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45 $The following operations are done on the curve shown in the figure. 1. The curve is revolved 360 degrees around the Y axis. 2. The resulting form is then cloned twice around the X axis at 120 degrees to each other. 3. The resulting form is then cloned once about the Y axis at 90 degrees. What is the resulting 3D form?$
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46 $Which combination shows lunar eclipse?$
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47 $A boat is moving on the river and following the path as shown by the dashed line. Both the boatmen are facing front and rafting with equal force in the directions shown by the arrows in the options. Which of the options will help the boat to take a right turn?$
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48 $Select the correct sunshade pattern on the illustrated structure. Assume Sun at 45 degree on left as shown.$
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49 $Which option, when folded, will result in the solid shown?$
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50 $The options show designs for a remote control and its battery cover. Which design will be feasible?$
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51 $Four keyboard layouts were designed to enter text on touch-screen mobile phones. Which of these layouts has the shortest finger travel distance for entering text in the English language? Assume, the mobile is held vertically in the left hand, and a right-handed user presses the keys using only the index finger of the right hand.$
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52 $Which option replaces the question mark? (The paper prints only the picture for this question.)$
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53 $Refer to all the sides of a vase shown below. Select the correct order of sectional faces.$
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54 $Which of the options can be made by following the instructions given in the image below?$
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55 $Aru bought a new cushion cover from the market. Though the material is cotton, she was not happy with the plain cushion cover and planned to dye it with a colour. She followed the process as shown in the diagram, starting with folding the cover along the Y axis. After the first dye, she made the cushion cover dry and again did the same process, but this time started the folding along the X axis. Find out the pattern she created after the second dye.$
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56 $Select the correct option which lists the animals appearing in the GIF.$
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57 $Find the exact pattern highlighted in the red square.$
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58 $A layout director of a newspaper was listening to music loops P, Q, R and S. Subsequently, the director created layouts 1, 2, 3 and 4 for the Music section of the newspaper. Indicate the correct pair of music loop and the layout.$
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59 $Shown below is a transparent roller stamp. Identify the print made from the roller.$
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60 $Find the odd one.$
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61 $Shown below are visual lines that were decoded into names.$
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62 $Identify the side view of the spring.$
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63 $What is the function of these objects?$
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64 $Cathy has less money than David. Cathy and David together have as much money as Alice and Bob together. Alice and David together have less money than Bob and Cathy together. What is the correct richest-poorest pairing?$
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65 $SUGAR = ?$
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66 $Shown below is a 3D block. Four such blocks are interlocked in a square form. What will be the top view of the blocks after interlocking?$
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67 $Which betel nut cutter will require less force to be applied to cut a betel nut? Consider the hinge points to be at the same line.$
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68 $Which option replaces the question mark? (The paper prints only the picture for this question.)$
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