Question 357851
A woman with a basket of eggs finds that if she removes
the eggs from the basket 3 or 5 at a time, there is always 1
egg left. However, if she removes the eggs 7 at a time,
there are no eggs left. If the basket holds up to 100 eggs,
:
We know that the no. of eggs is a multiple of 7
The units digit is 1 or 6, because of the 5
That leaves 21, 56, 91
the 3 tell us it has to be 91 eggs