The ratio of cupcakes to children at a particular birthday party is 104 to 7. Each child at the birthday party eats

[Gmat_mission]

The ratio of cupcakes to children at a particular birthday party is 104 to 7. Each child at the birthday party eats exactly \(x\) cupcakes (where \(x\) is a positive integer) and the adults attending the birthday party do not eat anything. If the number of cupcakes that remain uneaten is less than the number of children at the birthday party, what must be true about the number of uneaten cupcakes?

I. It is a multiple of 2.
II. It is a multiple of 3.
III. It is a multiple of 7.

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II and III

[spoiler]OA=D[/spoiler]

Source: Manhattan GMAT