You need to make a set of five rods for a magic trick, with numbers on them ranging from 1 to 31 inclusive. Then you ask people to pick a number and show you
only the top number of whatever rods it is on. From that you have to guess which number the person picked. This has to be done within a few seconds and isn't a matter of remembering what numbers are on them.
What numbers should be on each of the five rods?
If the top number of each rod is the following
A1 B2 C4 D8 E16 then the solution would be the following:
A 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31
B 2 3 6 7 10 11 14 15 18 19 22 23 26 27 30 31
C 4 5 6 7 12 13 14 15 20 21 22 23 28 29 30 31
D 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31
E 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
If a someone picks the number 27 then they would show A B D E and you would see 16 8 2 1 and you just add 16+8+2+1=27 and you say 27.

Posted by Nelson
on 20031112 03:22:57 