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

Question

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”?

Answer 1

**Answer is 301
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){
            System.out.println("Answer is "+i);
            break;
        }else{
            i++;
        }
    }**

Answer 2

(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