mathematical puzzles
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What is the next letter in the sequence, Y, B, W, D, U, F? S - It is based on every other combination of the letters of the alphabet coupled from the end and the beginning. Z,A and X,C, and V,E are omitted - T,G should be, so the next combo shown is S,H. To keep awake driving late at night much earlier in life I learned to say the alphabet backwards in my head and then alternately like this from the ends in and the middle out, so I recognized this quickly.
A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are fused and he is completely in the dark. How many socks must he take out to make 100 per cent certain he has a pair of black socks? 40 socks. If he takes out 38 socks, although it is very unlikely, it is possible they could all be blue and red. To make 100 per cent certain that he also has a pair of black socks he must take out a further two socks;
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