1000 DS question

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gviren: Senior | Next Rank: 100 Posts; Posts: 44; Joined: Fri Mar 30, 2007 3:11 pm

by gviren » Thu May 31, 2007 5:03 pm

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

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Source: Beat The GMAT — Data Sufficiency | Thu May 31, 2007 5:03 pm

jayhawk2001: Community Manager; Posts: 789; Joined: Sun Jan 28, 2007 3:51 pmFollowed by: 1 member; Location: Silicon valley, California; Thanked: 30 times

Re: 1000 DS question

by jayhawk2001 » Thu May 31, 2007 7:11 pm

gviren wrote: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

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