UCEED 2016
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Q8.There are some men and some women in a group. Each person shakes hands with exactly one other person in the entire group. After this round of handshakes, eight men and four women find that they shook hands with someone of the same sex. The total number of handshakes exchanged in the entire group is 87. At most how many women can there possibly be in this group?
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Q10.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?
UCEED2016Q9·nat·Medium77 attempts
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?
Keyboards off — use the numpad, just like on exam day.