UCEED 2016

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Q9.It is 12 o'clock, and the hour and minute hands are aligned exactly one over the other. Both hands move continuously. After how many minutes will they meet again?

Q11.A water tank of dimensions 20 cm x 5 cm x 10 cm has 307 cc water in it. A few bricks, each of dimensions 5 cm x 2 cm x 1 cm are fully submerged in the tank. Each brick absorbs 30% of its own volume of water. Just enough bricks are put in, such that the water level rises to completely fill the tank. How many bricks were put in the tank?

UCEED2016Q10·nat·Medium74 attempts

At most how many spheres of the same size can be placed around a same size sphere at the centre so that they all simultaneously touch the sphere at the centre?

Your answer

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