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?

7 comments:

  1. Yea, 120 .. (not 721 again lol)

    ReplyDelete
  2. 120 is the minimum that satisfies the criteria.
    540, 960, (+420)... all work too.

    Secret Squïrrel

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

    ReplyDelete
  4. I think 5040 is the real answer

    Asanka Manohara.

    ReplyDelete