UCEED 2025

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Q3.In the 3×3 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 4×4 square, using the numbers from 1 to 16, what will be the sum of the numbers in each row / column / diagonal?

Q5.A cube 4 cm × 4 cm × 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?

UCEED2025Q4·nat·Hard390 attempts

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?

Your answer

Keyboards off — use the numpad, just like on exam day.

UCEED 2025

0/57

UCEED2025Q4·nat·Hard390 attempts

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?

Your answer

Keyboards off — use the numpad, just like on exam day.