How many eggs?

rgoudie

Posers and Puzzles

29 Jul '04 18:22

rgoudie
Joined
08 Dec '03
Moves
3140
29 Jul '04 18:22
Once upon a time, and old lady went to sell her vast quantity of eggs at the local market.

When asked how many she had, she replied:

Son, I can't count past 100 but I know that...

If you divide the number of eggs by 2 there will be one egg left.
If you divide the number of eggs by 3 there will be one egg left.
If you divide the number of eggs by 4 there will be one egg left.
If you divide the number of eggs by 5 there will be one egg left.
If you divide the number of eggs by 6 there will be one egg left.
If you divide the number of eggs by 7 there will be one egg left.
If you divide the number of eggs by 8 there will be one egg left.
If you divide the number of eggs by 9 there will be one egg left.
If you divide the number of eggs by 10 there will be one egg left.

Finally...

If you divide the Number of eggs by 11 there will be NO EGGS left!

How many eggs did the old lady have?

-Ray.
Mephisto2
Joined
12 Mar '03
Moves
44411
29 Jul '04 20:10
2521 ?
rgoudie
Joined
08 Dec '03
Moves
3140
29 Jul '04 20:25
Originally posted by Mephisto2
2521 ?
Not quite. Your number satisfies every condition except the last, 11.

-Ray.
Mephisto2
Joined
12 Mar '03
Moves
44411
29 Jul '04 20:39
Originally posted by rgoudie
Not quite. Your number satisfies every condition except the last, 11.

-Ray.
Yeah, I had forgotten about the 11+1.

27721?
rgoudie
Joined
08 Dec '03
Moves
3140
29 Jul '04 20:55
Originally posted by Mephisto2
Yeah, I had forgotten about the 11+1.

27721?
It is 11+0.

-Ray.
Mephisto2
Joined
12 Mar '03
Moves
44411
29 Jul '04 22:15
Originally posted by rgoudie
It is 11+0.

-Ray.
oops again.

25201 ?
52921 ?
80641 ?
etc...
rgoudie
Joined
08 Dec '03
Moves
3140
30 Jul '04 00:20
Originally posted by Mephisto2
oops again.

25201 ?
52921 ?
80641 ?
etc...
Excellent!

-Ray.