  # How many minimum number of Eggs were there in the basket ?

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A women was carrying a basket of Eggs when a passer-by bumped her and she dropped the basket and all the eggs broke, Passer-by asked her number of eggs to pay her. Women replied, I don’t remember exactly , but I do recall that whether I divided the eggs by 2,3,4,5 or 6 there was always one egg left over. When I took the eggs out in groups of seven, I emptied the basket.

Can you tell, “How many minimum number of Eggs were there in the basket”? posted May 13, 2014

We can also solve it by programming like:

``````            int i=0;
while(true){
if(i%2==1 && i%3==1 && i%4==1 && i%5==1 && i%6==1 && i%7==0){
break;
}else{
i++;
}
}**
`````` answer Jun 20, 2014

### (ANSWER minimum number = 301)

Use MS Office Excel
in Column A input A1=1, A2=2 ...... to A1000=1000
In cell B1 input the following formula:
=AND((MOD(A1,2)=1),(MOD(A1,3)=1),MOD(A1,4)=1,MOD(A1,5)=1,MOD(A1,6)=1,MOD(A1,7)=0)
copy the formula to B2 ..... B1000
Find which of the results is/are TRUE
Between 1 to 1000 we find two results are true which are 301 and 721 answer Oct 30, 2015

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A man and a woman both carrying baskets with eggs inside passed each other on the sidewalk. The man told the woman, "If you give me one of your eggs I will have twice as many as you, but if I give you an egg you and I will have the same amount."

How many eggs were in each basket?

when counted in twos, there was one extra
when counted in threes, there were two extra when counted in fours, there were three extra
when counted in fives, there were four extra
when counted in sixes, there were five extra.

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How many eggs in total were in the consignment?