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# IITB UCEED 2019 Question Paper : Undergraduate Common Entrance Examination for Design

Institution : IIT Indian Institute of Technology Bombay
Exam : UCEED 2019 Undergraduate Common Entrance Examination for Design
Document Type : Question Paper
Year : 2019

## IITB UCEED Question Paper

Indian Institute of Technology Bombay, Undergraduate Common Entrance Examination for Design UCEED 2019 Question Paper.

Related / Similar Question Paper : IITB UCEED 2020 Question Paper ## Section A

Section A (60 Marks) contains a total of 20 Numerical Answer Type (NAT) questions. For each question, the answer is a real number that needs to be entered using the virtual keyboard on the monitor.

No choices will be shown for these questions. There is NO NEGATIVE marking for this section. Each correct answer will be awarded 3 marks. Questions not attempted or answered incorrectly will be given zero mark. Questions from 1 to 20 belong to this section.

Q.01 Shown below are sole designs of slippers, of which some are matched-pairs (one left foot and one right foot). Identify the total number of matched-pairs in the image.

Q.02 X1 is a 3D form generated from the shape X, using certain 3D operations. It has 11 surfaces in total. If the same operations are carried out on shape Y, how many surfaces would the resulting 3D form have?

Q.03 Fifteen people from different places came together for a family reunion. Each one of them had two gifts each for every other person. When the gifts were exchanged they hugged each other. What is the difference between the number of hugs and the number of gifts exchanged?

Q.04 A tetrahedral puzzle is made of smaller tetrahedrons. Shown below is one side of the puzzle and a small tetrahedron. Assuming that all the faces of the puzzle are same, how many small tetrahedrons are there on the faces of the larger tetrahedron?

Q.05 The picture shows decimal numbers encoded in colors in some other number system. Encodings of six numbers have been given in the picture on the left. Picture on the right shows a multiplication that we need to perform. What decimal number represents the result of this multiplication?

Q.06 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?

Q.07 Three transparent glass pieces with different engravings are shown below. They are to be overlapped, one on top of the other, with the red corner exactly matching each other. What is the total number of triangles in the resultant figure?

Q.08 A diagram of three blocks A, B and C and their direction of movement is shown below. The blocks move continuously in units and change directions after hitting the side walls.

From the given position, if block A moves at a speed of 2 units per second, and block B and block C move at a speed of 1 unit per second, what is the least time (in seconds) that is required for all blocks to align exactly one below the other?

Q.09 A UNION of two solids, a pentagonal prism and a hexagonal prism is shown below. The side view (on the right) depicts how the solids intersect. Visualise the new solid formed by their INTERSECTION (the part common to both of them). How many surfaces will the new solid have?

Q.10 A solid object made of cubes is shown below. This object is symmetric about all three axes, and does not contain cavities (no hollow spaces). How many cubes does the solid contain? ## Section B

Multiple Select Questions :
Section B (60 Marks) contains a total of 20 Multiple Select Questions (MSQ). Each question may have one or more than one correct choice(s) out of the four given.

A question is considered correctly answered if ALL the correct choices and NO wrong choices are selected for that question. There is NEGATIVE marking for this section.

Each question answered correctly will receive 3 marks. Each question wrongly answered will receive -0.19 (minus zero point one nine) mark. There is NO PARTIAL marking for this section. Questions not attempted will be given zero mark. Questions from 21 to 40 belong to this section.

Q.11 Tile X was used to create a seamless pattern when arranged as shown below. Which tile(s) from the options will create a seamless pattern (pattern without gaps)?

Q.12 Which of the following statements related to Indian musicians is/are TRUE?
A. Ustad Allah Rakha and Ustad Zakir Hussain are known for playing the Tabla
B. Pandit Nikhil Banerjee and Ustad Vilayat Khan are known for playing the Sitar
C. Ustad Ali Akbar Khan, Ustad Amjad Ali Khan and Dr. L. Subramaniam are known for playing the Violin
D. Pandit Ravi Shankar and Pt.Hariprasad Chaurasia are known for playing the Shehanai

Q.13 Which of the options on the right can be formed by folding the profile shown on the left?

Q.14 In a 3D structure made of cubes of equal size, an L shaped hole is made by removing a few cubes, as shown on the left. Which of the 3D structures in the options on the right would successfully pass through the L shaped hole, given that that they are also made of cubes of same size?

Q.15 The figure given below shows six bar charts corresponding to the volume of agricultural produce from farms of various farmers. The actual quantities are also shown in the figure.

Red bars indicate tomatoes, green bars indicate leafy vegetables, and blue bars indicate berries. Assume that they have seen each other’s bar charts. Who can correctly make at least one of the following statements?

(i) Everyone who produced any one item more than what I produced, she also produced every other item more.
(ii) Everyone who produced one item less than what I produced, she also produced at least one other item less.

UCEED 2019 Question Paper :

## Section C

Multiple Choice Questions :
Section C (180 Marks) contains a total of 45 Multiple Choice Questions (MCQ). Each question has four choices out of which ONLY ONE is the correct answer. There is NEGATIVE marking for this section.

Each correct answer will be awarded 4 marks and each wrong answer will receive -1.32 (minus one point three two) mark. Questions not attempted will be given zero mark. Questions from 41 to 85 belong to this section.

16. The word given below uses a particular font. Which option belongs to the same font?
17. Which option will replace the question mark?

18. An envelope made of a single piece of paper is taken, and a few cuts are made on it. The envelope and the cuts are shown below. Identify the resulting figure when the envelope is unfolded?

19. Shown in the four figures A, B, C, and D on the right, are broken lines drawn on a transparent sheet. Each figure is folded over along the dotted lines as shown. Identify the correct option that will generate the motif shown on the left.

20. A light source is attached to a rod fixed in the centre of the ceiling of a square room. This source rotates 360 degrees with the rod as its axis. This source projects a red beam of light onto the four walls of the room.

This setup is shown in the isometric view and the side view in the figure below. Identify the correct path of the beam of light on the four walls of the room.

21. The figure below shows the top view, the front view, and the side view of a three dimensional solid object. What is the minimum number of surfaces that a solid with these views, can have? Assume that there are no hidden lines.

22. Sheetal is running. Which option denotes the most natural pose?
23. Identify the correct profile of the cricketer that corresponds to the given front pose.

24. Seema on the left, is looking at a mirror. Which option shows her reflection correctly?
25. Kavita is holding a lit torch below her face as she narrates a ghost story to her friends in a dark room. Which option shows the lighting correctly?