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## Struck Down

Math brain teasers require computations to solve.

 Puzzle ID: #11051 Fun: (2.26) Difficulty: (2.27) Category: Math Submitted By: jimbo

One hundred people stand in a row
Each has a rank from go to whoa
Every fifth one is struck from the line
This is repeated time after time
'til at last there is only five left in line
What is the original rank of the one on the end this time?

### Hint

They line up numbered from 1 to 100 and every fifth person leaves the line. This continues till only 5 remain.
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 krishnan Sep 27, 2003 A good fun puzzle. Enjoyed that! heyevpos Feb 16, 2004 Thank you, very enjoyable. I spent 2 minutes figuring whoa minus 2 (9 as the numerical rank. Then, about 20 minutes trying to figure an algorithm to decipher what the name of the rank should be since the ranks were given as go to whoa. Could not find one. Lots of fun. javaguru Feb 17, 2009 Easy and fun. stil Apr 18, 2009 Mind you this is just a quibble, but every line has two ends, so while 98 is the last to hold the "whoa" end 1 is still at "go" end. stil Apr 18, 2009 "at last there is nly five"??? Amn't "are" more gooder grammer? Jimbo Apr 19, 2009 "Go" means start and "Whoa" means stop so although there are two ends of a line it implies that there is a starting end and a finishing end. As for 'there is only five' - hey it's a poem so cut me some slack with the poetic licence!