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

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

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Answers

A

B

C

D

E

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Difficulty—

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

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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

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