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

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

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