A school has \(a\) students and \(b\) teachers. If \(a < 150, b < 25,\) and classes have a maximum of \(15\) students, can the \(a\) students be distributed among the \(b\) teachers so that each class has the same number of students? (Assume that any student can be taught by any teacher)

(1) It is possible to divide the students evenly into groups of \(2, 3, 5, 6, 9, 100,\) or \(15.\)

(2) The greatest common factor of \(a\) and \(b\) is \(10.\)

Answer: E

Source: Manhattan GMAT