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 Lotto Losers (Posted on 2007-04-23)
Seven of our members at Perplexus decided to try their luck on the UK Lottery. They each chose six different numbers from 1 to 49. (None of them chose the same number.)

If all six numbers were drawn, they would win millions; if five of their numbers, plus the bonus came up, they would win a few hundred thousand.

Brianjn chose multiples of three.
Dej Mar's greatest number was ten.
Federico chose primes totalling 150.
Assaf and Vernon each chose six consecutive numbers, Assaf's being higher in value.
Penny chose multiples of seven.
Charlie chose square numbers.

Would you believe these unlucky punters failed to choose a single correct number (not even the bonus)?

If the bonus number was 1, which six numbers came up on the lottery?

 Submitted by Josie Faulkner Rating: 4.3000 (10 votes) Solution: (Hide) Charlie chose 4, 9, 16, 25 36 and 49; Penny chose 7, 14, 21, 28, 35 and 42. As these twelve numbers are no longer available, the only two sets of six consecutive numbers are 29 to 34 and 43 to 48, for Vernon and Assaf to choose, respectively. As number 1 is not available, Dej Mar must choose 2, 3, 5, 6, 8 and 10. Now to Federico! The primes available are 11, 13, 17, 19, 23, 37 and 41, giving a total of 161. Therefore FK must choose all except number 11. There are now twelve numbers left. Brianjn chooses 12, 15, 18, 24, 27 and 39. So, the lotto numbers drawn are 11, 20, 22, 26, 38 and 40.

 Subject Author Date re(2): some selections (spoilers) Josie Faulkner 2007-05-31 15:46:55 re: some selections (spoilers) jduval 2007-05-30 13:53:11 re: some selections (spoilers) jduval 2007-05-30 12:57:50 some selections (spoilers) jduval 2007-05-30 12:48:39 solution Charlie 2007-04-23 14:58:14 re: The solution is ... Josie Faulkner 2007-04-23 14:46:10 re: Difficult Problem (spoiler) Josie Faulkner 2007-04-23 14:43:01 The solution is ... Justin 2007-04-23 14:40:41 Difficult Problem (spoiler) Vernon Lewis 2007-04-23 14:27:21

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