Last visit was: 20 Jul 2024, 08:53 It is currently 20 Jul 2024, 08:53
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94430
Own Kudos [?]: 642510 [7]
Given Kudos: 86706
Send PM
Retired Moderator
Joined: 18 Sep 2014
Posts: 1011
Own Kudos [?]: 2797 [0]
Given Kudos: 79
Location: India
Send PM
Manager
Manager
Joined: 23 Feb 2018
Posts: 86
Own Kudos [?]: 118 [2]
Given Kudos: 23
Send PM
Intern
Intern
Joined: 09 May 2020
Posts: 6
Own Kudos [?]: 2 [2]
Given Kudos: 0
Send PM
Re: If n ≠ 0, is m/n > 0 ? (1) n^m = 1 (2) m|n| < 0 [#permalink]
2
Kudos
(1): Case1: n=1,m=1
Case2: n=-1,m=2
so not sufficient
(2): m|n|<0 means m has to be negative
m=-1,n=-1
m=-1,n=1
not sufficient
Combining Both
no solution
So Answer is E
Intern
Intern
Joined: 15 Aug 2020
Posts: 27
Own Kudos [?]: 28 [4]
Given Kudos: 12
Location: United States
GMAT 1: 740 Q47 V44
GPA: 3.6
Send PM
Re: If n ≠ 0, is m/n > 0 ? (1) n^m = 1 (2) m|n| < 0 [#permalink]
3
Kudos
1
Bookmarks
If n≠0n≠0, is m/n>0 ?


(1) n^m=1
Here either M can be zero or n can be 1 or -1 (but only -1 if m is even). So this is insufficient.

(2) m|n|<0

Here we know that m<0, so m must be negative. We also know that m cannot be zero. But alone, this is insufficient because n could be just about any number other than zero.

Combined

Combined, we know first that m is not zero and m must be equal to a negative number, but we do not know what exact value it will have. We also know that |n| is equal to one. But do we know whether n is negative? We need to know whether n is negative to know whether the fraction m/n is > 0 or not.

Can n be 1? Yes. 1^m is always going to be equal to 1. Can n be equal to -1? It's a bit more complicated. If m is an even number, then n can be negative. But if m is an odd number, then then n cannot be negative. Recall from above that we do not know what value m has beyond being less than zero, so we must conclude the statements, even combined, are insufficient to determine whether m/n>0.
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 34040
Own Kudos [?]: 853 [0]
Given Kudos: 0
Send PM
Re: If n ≠ 0, is m/n > 0 ? (1) n^m = 1 (2) m|n| < 0 [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
Re: If n ≠ 0, is m/n > 0 ? (1) n^m = 1 (2) m|n| < 0 [#permalink]
Moderator:
Math Expert
94430 posts