- Banned
- #1
At the request of NET and other posters (more to get this away from another thread than any real interest), here is the mental challenge that NET has been harping on about:
Test your mental agility with the following puzzle:
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Our chief statistician, Dan Liebke, being the master of smooth that he is, attracted the interest of a couple of young ladies at a party the other night. In talking with these two Australian good sorts, named Libby and Shirl respectively, all three found out that lo and behold they all lived on the same street!. (This street, incidentally, was numbered, rather conveniently, from 1-99.)
Libby was rather keen to pursue the friendship further, so seeing an opportune moment when Shirl wasn't looking, ran up to Dan and asked him, "Which house do you live in?" Dan said, "Guess." Libby asked, "Is the number a perfect square? And is the number greater than 50?" "Yes and yes!" answered Dan. "Then I think I know where you live!" she cried enthusiastically.
However, she was less than enthusiastic when she was unable to find Dan's house a couple of days later. This was hardly surprising, though, when we consider that Dan, having discovered that Libby was a professional pitbull trainer and not wishing to pursue the relationship further, only answered truthfully to her second question.
Also, at this same party, Shirl had had a go. She asked for Dan's house number, he told her to guess, so she asked, "Is the number a perfect cube? And is the number greater than 25?" "Yes and yes!" answered Dan. "Then I think I know where you live!" she said with a smile . . .
. . . A smile which was nowhere in sight when she was unable to find Dan's house a couple of days later. However, when we consider that Dan had earlier discovered Shirl's animosity towards that noble epic "Star Wars" and had thus only answered truthfully to her second question, we can understand why.
But now, dear reader, if I told you that Dan's number is less than Libby's or Shirl's and that the sum of their house numbers is equal to a perfect square multiplied by 2, can you work out where all three live?
Test your mental agility with the following puzzle:
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Our chief statistician, Dan Liebke, being the master of smooth that he is, attracted the interest of a couple of young ladies at a party the other night. In talking with these two Australian good sorts, named Libby and Shirl respectively, all three found out that lo and behold they all lived on the same street!. (This street, incidentally, was numbered, rather conveniently, from 1-99.)
Libby was rather keen to pursue the friendship further, so seeing an opportune moment when Shirl wasn't looking, ran up to Dan and asked him, "Which house do you live in?" Dan said, "Guess." Libby asked, "Is the number a perfect square? And is the number greater than 50?" "Yes and yes!" answered Dan. "Then I think I know where you live!" she cried enthusiastically.
However, she was less than enthusiastic when she was unable to find Dan's house a couple of days later. This was hardly surprising, though, when we consider that Dan, having discovered that Libby was a professional pitbull trainer and not wishing to pursue the relationship further, only answered truthfully to her second question.
Also, at this same party, Shirl had had a go. She asked for Dan's house number, he told her to guess, so she asked, "Is the number a perfect cube? And is the number greater than 25?" "Yes and yes!" answered Dan. "Then I think I know where you live!" she said with a smile . . .
. . . A smile which was nowhere in sight when she was unable to find Dan's house a couple of days later. However, when we consider that Dan had earlier discovered Shirl's animosity towards that noble epic "Star Wars" and had thus only answered truthfully to her second question, we can understand why.
But now, dear reader, if I told you that Dan's number is less than Libby's or Shirl's and that the sum of their house numbers is equal to a perfect square multiplied by 2, can you work out where all three live?
