1000 DS question

[gviren]

If n is an integer, is n/15 an integer?
(1) 3n/15 is an integer.
(2) 8n/15 is an integer

The OA is B. I thought E. Please help

[jayhawk2001]

If n is an integer, is n/15 an integer?
(1) 3n/15 is an integer.
(2) 8n/15 is an integer

The OA is B. I thought E. Please help

1 - insufficient. 3n = 15t implies n = 5t. For integer values of t, there exists
a n that satisfies eqn. n is not unique

2 - sufficient. 8n = 15t. n = 15t/8. We are given n is an integer and so t
has to be a multiple of 8. If t = 8s, then n = 15*8s / 8. So, n/15 is an
integer.

Hence B