UCEED 2025 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.

Every question in the order it was set, free to read. Tap an option to check it, or open the answer and worked solution. Answers open as you go; sign in free to keep opening them.

Sit it as a timed mock

Numerical answer

14 questions

1 $A painter mixes white and black paints to create different shades in two different buckets. He prepares 10 kg in one bucket with 20% black paint in it. He then prepares 20 kg of another shade in the second bucket with 20% black paint in it. He pours the second bucket into the first one. What is the percentage of black paint in the mixture?$
2 $"Betty bought some butter but the butter was too bitter, so she put a little gummy to make the bitter butter yummy." In the above sentence, if you replace every letter 't' with letter 'b', what is the total number of instances in which the same letter appears at least twice in a word?$
3 $In the 3 \times 3 square on the left, the numbers from 1 to 9 have been filled so that the sum in each row / column / diagonal adds up to 15. If the same exercise is to be carried out for the 4 \times 4 square, using the numbers from 1 to 16, what will be the sum of the numbers in each row / column / diagonal?$
4 $10 people are standing in a circle. Each person is assigned a number as shown in the figure below. The first person (numbered 1) is removed. Thereafter, in the clockwise direction, every third person is removed and this is repeated till only two people are left. What is the sum of the numbers assigned to the two people who are left at the end?$
5 $A cube 4 cm x 4 cm x 4 cm has all its corners chamfered as shown in the figure below. On each of its faces it has got a small tetrahedral notch having edges of 1 cm each. What is the sum of the number of vertices and the number of edges in this solid?$
6 $With a straight cut you can slice a circular piece of paper into two pieces. A second cut that crosses the first cut will produce a maximum of four pieces. What is the maximum number of pieces that you can get with a total of four straight cuts?$
7 $What is the highest number of occurrences of a shape in the figure shown?$
8 $Each of the rings in the chain in the given figure has an outer diameter of 5 cm and a cross-sectional diameter of 1 cm. What is the maximum end to end length of the chain in cm?$
9 $If 1 inch = 25 mm = 6 pica and 1 pica = 12 points = 16 pixels, what is 6 points + 2 inches + 3 picas + 8 pixels + 25 mm, represented in pixels?$
10 $What number will replace the question mark?$
11 $What three-digit number can be made from the digits 2, 3, 5, and 7, such that no two digits of the three-digit number are the same and the three-digit number is divisible by each of the digits in it?$
12 $27 cubes of edge 10 cm are arranged to create a larger cube. If the cubes at the eight corners are replaced with spheres of diameter 10 cm, what is the minimum number of cubes that do not touch any of the spheres?$
13 $Some of the shapes in the image K are either flipped or rotated in the image J. What is the number of flipped shapes in image J?$
14 $How many different patterns of pens are present in the given figure?$

Multiple select

15 questions

15 $Which of the options below can be rearranged to make image Q?$
Tap an option to check your answer.
16 $The Tropic of Cancer passes through which of the states shown below?$
Tap an option to check your answer.
17 $Which of the following is / are TRUE for the strip of paper shown in the image?$
Tap an option to check your answer.
18 $Which of the options is / are CORRECT?$
Tap an option to check your answer.
19 $In the image below, gear 1 rotates in the direction of the arrow. Which of the statements is / are CORRECT?$
Tap an option to check your answer.
20 $Which of the options does NOT / do NOT match the pieces in the jigsaw puzzle shown in image K?$
Tap an option to check your answer.
21 $P and Q show two different views of the same solid object. Which of the options represent(s) the top view of the solid object?$
Tap an option to check your answer.
22 $Which consultant(s) to the Government of India suggested that the metal lota (shown in the given figure) used by many Indians is an appropriate symbol for indigenous design traditions?$
Tap an option to check your answer.
23 $Given below are the silhouettes of two iconic figures in Indian history. Which of the following statements is / are TRUE?$
Tap an option to check your answer.
24 $Centuries ago, a rich man left behind a treasure represented as a red dot, in the schematic drawing below. If the corners of the triangle represent central locations in the states of Bihar, Telangana and Rajasthan, which is / are the state(s) where one could hunt for this treasure?$
Tap an option to check your answer.
25 $Which of the options has / have been created by using only a single wire?$
Tap an option to check your answer.
26 $Which of the options will replace the question mark?$
Tap an option to check your answer.
27 $Which of the options has / have shapes that DO NOT match the outlines in figure K?$
Tap an option to check your answer.
28 $An object was sharply focused and a photograph was taken using a camera. The photographer wants to blur the background (change the depth of field) in the next photograph. This can be achieved by changing the$
Tap an option to check your answer.
29 $Which of the options can be generated by revolving the quadrilateral in image K, about its edge?$
Tap an option to check your answer.

Multiple choice

28 questions

30 $What is the length of the edge of the largest cube that can be placed inside a sphere of radius 10 cm?$
Tap an option to check your answer.
31 $What is the total number of triangles in the figure given below?$
Tap an option to check your answer.
32 $Image K is rotated by an angle of 45 degrees anticlockwise. Which option represents the rotated image?$
Tap an option to check your answer.
33 $Which of the options is the correct logo of India Post?$
Tap an option to check your answer.
34 $What is the next number in the sequence below? 341, 214, 123, 62, 25, ?$
Tap an option to check your answer.
35 $Which option is the odd one out?$
Tap an option to check your answer.
36 $Which option will replace the question mark?$
Tap an option to check your answer.
37 $Phulkari, Chikankari, Sambalpuri and Paithani are weaving traditions from different states of India. Which option lists them in the correct sequence?$
Tap an option to check your answer.
38 $What is the number of fonts used in the following sentence?$
Tap an option to check your answer.
39 $The _______ government organizes the Hornbill Festival each December, promoting cultural heritage and fostering interaction between tribes. The festival has been named after a ______.$
Tap an option to check your answer.
40 $The lost wax process is used for ______________.$
Tap an option to check your answer.
41 $You need to hang a large rectangular picture frame on a wall in an empty room. To ensure that it is vertical (and not tilted), which of the following will help you hang the picture correctly (not tilted)? (No additional items are to be used other than the ones specified in each of the options)$
Tap an option to check your answer.
42 $Which of the options is the odd one?$
Tap an option to check your answer.
43 $Which of the following options is the odd one?$
Tap an option to check your answer.
44 $What is the next number in the sequence below? 7, 11, 18, 30, 50, ___$
Tap an option to check your answer.
45 $The well-known masterpiece "Mona Lisa" was painted by Leonardo Da Vinci in the 16th Century. Nearly 500 years later another artist made a satirical reference to it; he copied the "Mona Lisa" but painted a moustache on her! Which art movement was this artist associated with?$
Tap an option to check your answer.
46 $Which of the options matches the fruit and the leaf correctly? (the images are not to scale)$
Tap an option to check your answer.
47 $Which are the rivers numbered from 1 to 4 in the map below?$
Tap an option to check your answer.
48 $Which of the sequences in the options will result in the right pattern for a running man?$
Tap an option to check your answer.
49 $Which of the following is the hardest wood?$
Tap an option to check your answer.
50 $Hex codes are used to specify colours on the computer. What colour is the Hex Code CCCCCC?$
Tap an option to check your answer.
51 $Which is the correct representation in the options, if the image K shown below is flipped about the vertical axis (shown on the right side of K)?$
Tap an option to check your answer.
52 $Shapes are cut out from two Black Discs, Disc-X and Disc-Y as given below. Identify the correct image, when Disc-Y is kept on top of Disc-X and rotated 60 degrees anti-clockwise.$
Tap an option to check your answer.
53 $In the cursed land of Weirdisthan, strength of animals was disproportionately distributed. Horse has half the strength of a Dog and four times the strength of an Elephant. Monkey has three times the strength of a Rhino. Elephant has half the strength of a Rhino. One Dog was becoming a danger for other animals and they decided to assign a team of animal soldiers to overpower him. Which team of soldiers managed to overpower the dog?$
Tap an option to check your answer.
54 $A clock is displaced horizontally at a uniform rate along the direction shown. If the tip of the hour hand is traced from 2 AM to 9 AM, which option shows the correct tracing pattern?$
Tap an option to check your answer.
55 $Which of the options shows the word "TRANSFORM" as it would appear after it is reflected horizontally along AXIS 1 and then vertically along AXIS 2, as indicated in the figure below?$
Tap an option to check your answer.
56 $The shape L is extruded along Z-axis to form a solid as shown in the figure. How many shapes in the Set K will have more than 8 surfaces when extruded along Z-axis?$
Tap an option to check your answer.
57 $Residents of planet Earthella are planning to abandon it and fly to planet Marsella because of an acute water crisis. They may choose any of the flight paths connecting Earthella to Marsella through a set of intermediate refuelling stations. How many unique flight paths be charted out if paths cannot retrace any segment that they have already traversed or revisit any station (including Earthella)?$
Tap an option to check your answer.

Want the real exam feel? Sit this paper with a 120-minute timer and get your score straight away.

Sit it as a timed mock