## Seven SportsmenLogic puzzles require you to think. You will have to be logical in your reasoning.Seven sportsmen are standing in a row. Each sportsman has a different 1-digit number. The product of the first three, the product of the middle three, and the product of the last three are all equal.
What's the middle sportsman's number? ## AnswerLet their numbers be a through g, we have abc=cde=efg.5 or 7 cannot occur, because they are prime and no other 1-digit number contains them. Therefore, the numbers are 1, 2, 3, 4, 6, 8, 9. Since abc=efg, abcdefg/d is a perfect square. 1*2*3*4*6*8*9=2^7*3^4, and d can be only 2 or 8. If d=2, the numbers 1, 3, 4, 6, 8, 9 can be made into 1*8*9=3*4*6=72, and we can have c=9, e=4: 9*2*4=72. If d=8, the numbers 1, 2, 3, 4, 6, 9 can be made into 1*4*9=2*3*6=36, but 36 is not divisible by 8. Therefore, the middle sportsman's number is 2. Hide ## What Next?
Tweet
See another brain teaser just like this one...Or, just get a random brain teaser If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own. Back to Top |