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.

m and n are two positive integers. 5m + 7n = 46. [#permalink]
04 Apr 2018, 15:11

Expert's post

00:00

Question Stats:

53% (00:59) correct
46% (00:30) wrong based on 13 sessions

m and n are two positive integers. 5m + 7n = 46.

Quantity A

Quantity B

m

n

A. The quantity in Column A is greater B. The quantity in Column B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given

Re: m and n are two positive integers. 5m + 7n = 46. [#permalink]
04 Apr 2018, 15:30

1

This post received KUDOS

Answer: A M and n are positive integers. We should find out all values each of them might have. 5m + 7n = 46, 7n = 46-5m m ———————- n 1———————— ! _______m=1, 7n = 46- 5*1 -> n = 41/7 !! Not posible as n is not integer 2———————— !________m=2, 7n = 46- 5*2 -> n = 36/7 !! Not posible as n is not integer 3———————— !________m=3, 7n = 46- 5*3 -> n = 31/7 !! Not posible as n is not integer 4———————— ! ________m=4, 7n = 46- 5*4 -> n = 26/7 !! Not posible as n is not integer 5———————— 3________m=5, 7n = 46- 5*5 -> n = 21/7=3 (POSIBLE FOR m=5 and n = 3) 6———————— ! ________m=6, 7n = 46- 5*6 -> n = 16/7 !! Not posible as n is not integer 7———————— ! ________m=7, 7n = 46- 5*7 -> n = 11/7 !! Not posible as n is not integer 8———————— ! ________m=8, 7n = 46- 5*8 -> n = 6/7 !! Not posible as n is not integer. We can’t go further because n is being a value below 1 while it is an integer number.

So the only possible values for m and n are: m= 5 and n = 3 A is bigger than B and the answer is A.

greprepclubot

Re: m and n are two positive integers. 5m + 7n = 46.
[#permalink]
04 Apr 2018, 15:30