If \(n > 6\) and \(3m + 5n = 0,\) then which of the following must be true?

BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 am; Followed by:2 members

If \(n > 6\) and \(3m + 5n = 0,\) then which of the following must be true?

by Gmat_mission » Thu Nov 19, 2020 11:19 am

Timer

00:00

Your Answer

Global Stats

If \(n > 6\) and \(3m + 5n = 0,\) then which of the following must be true?

A. \(m > 10\)
B. \(m < -10\)
C. \(m = 10\)
D. \(n < 10\)
E. \(n > 10\)

Answer: B

Source: Princeton Review

Quote

Source: Beat The GMAT — Problem Solving | Thu Nov 19, 2020 11:19 am

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: If \(n > 6\) and \(3m + 5n = 0,\) then which of the following must be true?

by Scott@TargetTestPrep » Sat Nov 28, 2020 11:00 am

Gmat_mission wrote: ↑
Thu Nov 19, 2020 11:19 am
If \(n > 6\) and \(3m + 5n = 0,\) then which of the following must be true?

A. \(m > 10\)
B. \(m < -10\)
C. \(m = 10\)
D. \(n < 10\)
E. \(n > 10\)

Answer: B

Solution:

Since 3m + 5n = 0, we have:

5n = -3m

n = -3m/5

Substituting -3m/5 for n in n > 6, we have:

-3m/5 > 6

-3m > 30

m < -10

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]