All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 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?

 See The Solution Submitted by Josie Faulkner Rating: 4.3000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 solution | Comment 5 of 9 |

There are only 6 squares between 2 and 49, so Charlie took these, as indicated by the C's below.

This leaves only 6 multiples of 7 for Penny, as 49 is now not available.

Only two stretches of 6 remain, 29-34 and 43-48, for Assaf and Vernon to take.

The primes that remain are 2, 3, 5, 11, 13, 17, 19, 23, 37 and 41. If 6 of these are to total 150, none of them can be 2, as that would mean 5 odd numbers would add to an even number. All six must be odd to add to an even number. The remaining nine primes add to 169, so three primes must be stricken from the list that add up to 19.  That would be 3, 5 and 11, leaving those primes that are 13 or higher to be Federico's choices.

There are only six numbers of 10 or less remaining for Dej Mar.

That leaves only six multiples of 3 for Brianjn.

The remaining numbers must be the ones selected: 11, 20, 22, 26, 38 and 40.

` 2      D 3      D 4 C 5      D 6      D 7  P 8      D 9 C10      D  11         selected12       B13     F14  P15       B16 C17     F18       B19     F20         selected21  P22         selected23     F24       B25 C26         selected 27       B28  P29   AV30   AV31   AV32   AV33   AV34   AV35  P36 C37     F   38         selected 39       B40         selected41     F42  P43   AV44   AV45   AV46   AV47   AV48   AV49 C`

 Posted by Charlie on 2007-04-23 14:58:14

 Search: Search body:
Forums (0)