If all the N students of a class are classified into groups of either n, or

[BTGmoderatorDC]

If all the N students of a class are classified into groups of either n, or (n+1), or (n+2) students, every time 3 students are left out and cannot be included in any of those groups formed. What is the value of N?

1. N is between 7 and 70
2. n is the smallest number with exactly 3 distinct factors


OA A

Source: e-GMAT