Question

What is the smallest positive integer in the set {24x + 60y + 2000z| x,y,z in z}?

Answer 1

0. ...................(zero)

Answer 2

in that types of questions,

process of solving is by taking gcd( greatest common devisor) .

now take. gcd(24,60,2000) ....

what we get

we get gcd(24,60,2000) = 4

which is the Required smallest positive integer.