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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:

utsav said...

i thnk answer is 120????

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 Squïrrel

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