Organisation :IIT Bombay (IITB)
Exam Name : UCEED Undergraduate Common Entrance Examination for Design
Year : 2021
Document Type : Question Paper
Website : http://www.uceed.iitb.ac.in/2022/
IITB UCEED Exam
IIT Bombay (IITB), UCEED 2021 Undergraduate Common Entrance Examination for Design Question Paper
Related / Similar Question Paper :
IITB UCEED Question Paper
Part-A:
Section-1: Numerical Answer Type (NAT)
Q.01: Four identical pieces of wood of length 50 cm x8 cm x2 cm are arranged as shown in the figure. Another larger square is generated by rotating all the wooden panels along the outer edges and extending the outermost edges till they touch each other. What is the area of this larger square thus constructed?
Q.02: A cricket team has 10 blue pairs of gloves and 10 white pairs of gloves in a cricket kit. If a batter reaches into the kit and pulls out one glove at a time without looking at it, what is the least number of gloves she must pullout to make sure that she has a pair of gloves of the sam ecolour?
Q.03: Chinnu was excited about the New Year when she bought a new calendar to keep on her study table. While playing, her baby sister poked a hole through the entire calendar from January through December as seen in the image. If every page had the same 5 week table structure for each month, and i fall the consecutive months were printed back to back, which date in the month of April has a hole in it?
Q.04: The corners of the green and red triangles coincide with the centres of the circles. All the circles have equal diameters and adjacent circles touch each other.If the area of the green triangle is 3.14, what is the area of the red triangle?
Q.05: A Streeth as 13 houses in a row as shown in the figure. Some residents in the first house tested positive for COVID-19. The virus spreads in two ways: it can spread to the next house, or jump directly to the third house. Residents of house number 2 can get infection in only one way, the house number 3in two ways, the house number 4in 3 ways, the house number 5in 5 ways and so on. If the virus only progresses from Left to Right direction, in how many ways can the residents of the house number 13 get infected?
Q.06 : In the container given below of dimensions(40 cm X 20 cm X 20 cm), four objects are dipped in water. Objects P and Q are made of some light material while objects R and S are made of iron and copper, respectively. The object Pis a cube of edge 4 cm with 1/10thfloating above water;object Qdisplaces50 cc of water while floating. The volumes of objects R and S are 295.4 cc and 397 cc,respectively. If all the objects are removed from the container, what would be the new water level inside the container measured from the bottom?
Q.07 : If you start from the circle and end at the triangle, what is the minimum number of straight lines required to pass through all the dots without retracing any route? You are allowed to pass through a dot more than once
Q.08 : If each word is written in a single font and normal and bold versions of the same font are not to be counted separately, how many fonts are used in the given set of words?
Q.09 : There are apples and oranges in a basket that can carry a maximum of 50 fruits. Some fruits are rotten and some are good. The number of rotten apples is twice the number of good apples. The number of good oranges is twice the number of rotten oranges. The number of oranges is thrice the number of apples. If there are more than 40 fruits in the basket, what is the total number of apples and oranges?
Q.10 : When young Moosa started selling dos as on a street corner to support his daughter Lisa’s education, his age was six times that of Lisa’s. He started selling dosas for 2 each and he increased its price by ?1every year. Lisa grew up to be a successful lawyer and on Moosa’s 60thbirthday she gifted him with a small shop near their house, the board of which is seen in the image. In which year Lisa will celebrate her 60thbirthday?
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