Question 3
Amy has 14 cousins aged $2,3,4,\ldots,15$ respectively. She also has some cards separately numbered $16,17,18,\ldots,k$, for some integer $k$. Amy manages to give one card to each cousin so that the number on the card is a multiple of that cousin’s age. Find the least $k$ for which this is possible.
Numerical answer only; a non-negative integer less than 1000.
Numerical answer only; a non-negative integer less than 1000.