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 Tags math puzzles

 19th January 2017, 03:04 PM #1 Fellow Traveler Master Poster     Join Date: Jan 2013 Posts: 2,366 Quiz Who want to be a millionaire had their Whiz Kids series and the asked a math question. So the kid had to figure this out entirely using his brain. They gave the number 123456787700000 (actually they listed the last digits but I forgot what they were) and asked what was the square root. There were multiple choices a. 11111111, b. 1111111, c. 111111. How would you work this out in your head. The Whiz kid did. I have a procedure in mind but not the way he did it. __________________ Trouble walks in on small delicate feet and grows Last edited by Fellow Traveler; 19th January 2017 at 03:12 PM.
 19th January 2017, 03:24 PM #2 marplots Penultimate Amazing   Join Date: Feb 2006 Posts: 29,167 Originally Posted by Fellow Traveler Who want to be a millionaire had their Whiz Kids series and the asked a math question. So the kid had to figure this out entirely using his brain. They gave the number 123456787700000 (actually they listed the last digits but I forgot what they were) and asked what was the square root. There were multiple choices a. 11111111, b. 1111111, c. 111111. How would you work this out in your head. The Whiz kid did. I have a procedure in mind but not the way he did it. Um... what was the question?
 19th January 2017, 04:31 PM #3 Winterfrost Scholar   Join Date: Dec 2004 Posts: 122 Based on the example answers, let's assume the number was probably 123456787654321. It's a (somewhat?) well-known math trick: take a number made up from a series of ones and square it. It will produce a palindrome 2n-1 digits long where n is the number of digits in the original number. So 123456787654321 is 15 digits long. (15+1)/2 = 8. So the square root would be 111111111 (eight ones). __________________ "The greatest obstacle to discovery is not ignorance -- it is the illusion of knowledge." - Daniel J. Boorstin
 19th January 2017, 04:39 PM #4 BowlOfRed Graduate Poster     Join Date: Jul 2010 Location: Silicon Valley Posts: 1,282 Given those choices, you don't have to worry about anything except the length. The given number starts with a 1, so it's pretty close to 10^14. The square root of that will be 10^7 (an eight digit number starting with 1). Pick the eight digit number.

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