List of top Questions asked in UCEED- 2025

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?
What is the length of the edge of the largest cube that can be placed inside a sphere of radius 10 cm?
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?
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?
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?
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?
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?
In the 3 x 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 x 4 square, using the numbers from 1 to 16, what will be the sum of the numbers in each row / column / diagonal?
What number will replace the question mark?
What is the next number in the sequence below?
7, 11, 18, 30, 50, ____
What is the next number in the sequence below?
341, 214, 123, 62, 25, ?
Which of the options will replace the question mark?
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?
``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?
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?
What is the highest number of occurrences of a shape in the figure shown?
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?
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?
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?
How many different patterns of pens are present in the given figure?
Which of the options below can be rearranged to make image Q?
The Tropic of Cancer passes through which of the states shown below?
Which of the following is / are TRUE for the strip of paper shown in the image?
A. It has two edges.
B. An ant can walk all over the surface of the strip without having to cross an edge.
C. A rotating belt that is similar to the strip of paper will have a uniform wear and tear.
D. This is an optical illusion that can be created as a 2D image but is not possible in 3D.
Which of the options is / are CORRECT?
A. The cap of a water bottle is tightened by rotating it in the clockwise direction (as seen from the top).
B. To turn on a tap, the tap head is rotated clockwise; to turn it off it is rotated counter-clockwise (as seen from the top).
C. To loosen a nut of a car wheel, a spanner is turned counter-clockwise (from the point of view of the person using the spanner).
D. The earth as seen from the North Pole rotates clockwise about its axis.
In the image below, gear 1 rotates in the direction of the arrow. Which of the statements is / are CORRECT?
A. 1 and 6 rotate in the same direction.
B. 3 and 6 rotate in the opposite direction.
C. 1 and 4 rotate in the opposite direction.
D. 2 and 6 rotate in the same direction.