UCEED 2024

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Q11.Shown below are two stacked paper cups and a box with their dimensions. If stacking is allowed, then what is the maximum number of cups that can be stored in the box without deforming the cups?

Q13.Section P shows three views of a regular dice. TEN of such regular dice are stacked on an opaque table as shown in Section Q (two views of the same arrangement). What is the maximum sum that can be achieved adding the numbers on the visible surfaces from all angles?

UCEED2024Q12·nat·Hard323 attempts

Shown below is a configuration of FOUR solid spheres each of radius 40 cm that are placed on four corners of a regular tetrahedron with side 120 cm. The centres of the spheres coincide with the corners of the tetrahedron. What is the radius (in cm) of the largest sphere that can be accommodated within the tetrahedron?

Your answer

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

UCEED 2024

0/57

Q11.Shown below are two stacked paper cups and a box with their dimensions. If stacking is allowed, then what is the maximum number of cups that can be stored in the box without deforming the cups?

UCEED2024Q12·nat·Hard323 attempts

Shown below is a configuration of FOUR solid spheres each of radius 40 cm that are placed on four corners of a regular tetrahedron with side 120 cm. The centres of the spheres coincide with the corners of the tetrahedron. What is the radius (in cm) of the largest sphere that can be accommodated within the tetrahedron?

Your answer

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