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How many eggs?

How many eggs?

Posers and Puzzles

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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.

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2521 ?

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Originally posted by Mephisto2
2521 ?
Not quite. Your number satisfies every condition except the last, 11.

-Ray.

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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?

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Originally posted by Mephisto2
Yeah, I had forgotten about the 11+1.

27721?
It is 11+0.

-Ray.

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Originally posted by rgoudie
It is 11+0.

-Ray.
oops again.

25201 ?
52921 ?
80641 ?
etc...

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Originally posted by Mephisto2
oops again.

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

-Ray.