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Broken Egg Math Problem
Difficulty Level

broken eggs math problem

A woman was carrying a basket of eggs to market when a passer-by bumped her. She dropped the basket and all the eggs broke.
The passer-by, wishing to pay for her loss asked 'How many eggs were in your basket?'
I don't remember exactly, the woman replied, 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 find atleast how many eggs were ther in the basket?

View Answer Comments(1)

Lets take there were 'n' eggs in the basket and satisfying the given conditions
'n' should be divisible by 7
'n-1' should be divisible by 2,3,4,5 and 6

LCM of 2,3,4,5 and 6 is 60, So n = 61 (but not divisible by 7)
Next try n as 121, but still not divisible by 7

Likewise 301 is the least possible number satisfying both the conditions. So there were atleast 301 eggs in her basket.

Guest Said:Posted On 2017-05-05

bro its wrong correct ans will be 59 egg 59/5=11.(4 reminder) 59/4=14.(3 reminde) . . . 59/2=29.(1 reminder)