An old woman is carrying some no. of eggs in a pot and on the same way a person rashly driving his Motor-Bike and damaged her pot and all the eggs are spoiled . Then she went for justice to the President of that village. There she said that she dont know the total number, but at her home, when divide them into 7 equqal parts no eggs remain odd, if it is 6 equal parts - 5 eggs remain, 5 equal parts - 4 eggs remain, 4 equal parts - 3 eggs remain, 2 equal parts - 1 egg remain.
At starting How many eggs She has?

• she had 119 eggs.
  
  LCM of 6,5,4,3,2 is 60.
  60*1-1=59 but it is not divisible by 7.
  60*2-1=119 which is divisible by 7.
  
  so she had 119 eggs.
• 12 years agoHelpfull: Yes(2) No(1)