## March 6, 2008

### Toffees

A boy has few toffees.he is about to eat them when
one of his friend comes and asks him to share.He divides
them equally into 2 parts without any toffee remaining.
Then one more boy comes so he divides into 3 equal parts
without any toffee remaining.Then one more boy comes so
he divides into 4 equal parts without any toffee remaining.
Then one more boy comes so he divides into 5 equal parts
without any toffee remaining.Then one more boy comes so
he divides into 6 equal parts without any toffee remaining.
Then one more boy comes so he divides into 7 equal parts
but one toffee remains.
HOW MANY TOFFEES DID THE BOY ORIGINALLY HAVE?

utsav said...

Anonymous said...

721

Anonymous said...

Yea, 120 .. (not 721 again lol)

Anonymous said...

120 is the minimum that satisfies the criteria.
540, 960, (+420)... all work too.

Secret SquÃ¯rrel

Neeraj said...

least such number is 120
i.e. a multiple of 2,3,4,5 & 6 but remainder 1 when divided by 7

Asanka said...

I think 5040 is the real answer

Asanka Manohara.

Sasi said...

120