mv < pv < 0. Is v>0?

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vittalgmat: Legendary Member; Posts: 621; Joined: Wed Apr 09, 2008 7:13 pmFollowed by: 4 members; Thanked: 33 times

by vittalgmat » Sun Jun 14, 2009 4:50 pm

Here is an interesting problem.
i am looking for multiple approaches to solving this.

If mv < pv < 0, is v > 0?
a. m < p
b. m < 0

[spoiler]OA: D[/spoiler]

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Source: Beat The GMAT — Data Sufficiency | Sun Jun 14, 2009 4:50 pm

ssmiles08: Master | Next Rank: 500 Posts; Posts: 472; Joined: Sun Mar 29, 2009 6:54 pm; Thanked: 56 times

Re: mv < pv < 0. Is v>0?

by ssmiles08 » Sun Jun 14, 2009 5:06 pm

vittalgmat wrote:Here is an interesting problem.
i am looking for multiple approaches to solving this.

If mv < pv < 0, is v > 0?
a. m < p
b. m < 0

[spoiler]OA: D[/spoiler]

v is common to both m and p. there are 2 possibilities:
if v is (-) and you divide both sides by v: m > p > 0.
If v is (+) and you divide both sides by v: m < p < 0

Since choice A tells you m < p; we know that v is (+): SUFFICIENT

Choice B tells us that m is (-). If m is (-), v must be (+) b/c mv < 0. Thus SUFFICIENT.

(D)

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