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#1 2011-07-21 06:36:12

anandbrar
Member
Registered: 2011-07-20
Posts: 70

The Egg-seller's eggs..

An egg-seller was on his way to a village. On his way, a fool collided with him and all his eggs broke. They both went to the village head-man. When the head-man asked how many eggs he had, the egg-seller told him,

"When counted in twos, 1 remains,
When counted in threes, 2 remain,
When counted in fours, 3 remain,
When counted in fives, 4 remain,
When counted in sixes, 5 remain,
When counted in sevens, none remain...
I had less than 150 eggs."

How many eggs did he have?
cool

Last edited by anandbrar (2011-07-21 06:39:49)


"widen your gaze... extend beyond the obvious..."

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#2 2011-07-21 06:41:49

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,311

Re: The Egg-seller's eggs..

hi anandbrar

I got

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#3 2011-07-21 06:43:27

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,392

Re: The Egg-seller's eggs..

hi anandbar

yup i did this problem except it wasn't bout eggs.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#4 2011-07-21 06:52:46

anandbrar
Member
Registered: 2011-07-20
Posts: 70

Re: The Egg-seller's eggs..

hi bob bundy, anonimnystefy

Both your ans are correct.


"widen your gaze... extend beyond the obvious..."

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#5 2011-07-22 11:53:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: The Egg-seller's eggs..


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#6 2011-07-22 17:16:32

anandbrar
Member
Registered: 2011-07-20
Posts: 70

Re: The Egg-seller's eggs..

hi bobbym,

why did you multiply with 3*3*...?


"widen your gaze... extend beyond the obvious..."

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#7 2011-07-22 17:18:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: The Egg-seller's eggs..

Hi;

Each mutiplication does not effect the solution set. But you multiply until the number is congruent to 1 for the modulo. This has the effect of solving for the variable.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#8 2011-08-12 20:13:40

anandbrar
Member
Registered: 2011-07-20
Posts: 70

Re: The Egg-seller's eggs..

Hi, I had a query..

If he were to say:

"When counted in twos, 1 remains,
When counted in threes, 2 remain,
When counted in fours, 3 remain,
When counted in fives, 4 remain,
When counted in sixes, 5 remain,
When counted in sevens, 6 remain,...
so on till
When counted in elevens, none remain"

Will the least answer be 30239?

Could anyone verify if this would be the least answer...thanks..


"widen your gaze... extend beyond the obvious..."

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#9 2011-08-12 22:08:18

ganesh
Moderator
Registered: 2005-06-28
Posts: 13,531

Re: The Egg-seller's eggs..

Hi anandbrar,

I think the answer would be 2519.


Character is who you are when no one is looking.

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#10 2011-08-12 23:00:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: The Egg-seller's eggs..

Hi;

2519 that is what I am getting also.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#11 2011-08-18 20:31:23

sandesh234
Member
Registered: 2011-08-17
Posts: 7

Re: The Egg-seller's eggs..

My answer

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#12 2011-12-17 22:51:06

Muramal
Member
Registered: 2011-12-17
Posts: 1

Re: The Egg-seller's eggs..

Got it
The question clearly says less than 150 eggs
So why do we have answers by the xxxxxdigits?

It's simply 119 eggs!

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#13 2011-12-17 23:18:54

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,574

Re: The Egg-seller's eggs..

Hi Muramal;

Welcome to the forum. This should clear up the confusion.

Everyone did answer 119 ( see post #2,3 and 5).

The higher number (2519) was for the second problem (post #8) which does not have the <120 restriction.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#14 2012-01-28 11:21:25

anna_gg
Member
Registered: 2012-01-10
Posts: 113

Re: The Egg-seller's eggs..

Suppose we are looking for x, where x is the number of eggs. Then x+1 should be a multiple of 2,3,4,5,6.
The smaller number to meet this criteria is 5x12 = 60, then 120, then 180 etc.
Moreover, x should be a multiple of 7, thus (x+1)mod7 = 1, thus 120-1 = 119, 238 etc.
The number also has to be <150, so it is 119.

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