It is currently 10 Dec 2018, 11:21
My Tests

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.

Integers a and b are consecutive multiples of 6. Integers x

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1651 [0], given: 396

CAT Tests
Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 17 Nov 2016, 16:32
Expert's post
00:00

Question Stats:

15% (00:41) correct 85% (00:53) wrong based on 20 sessions
Integers a and b are consecutive multiples of 6. Integers x and y are consecutive multiples of 8. In terms of a, b, x, and y, what is the ratio of the average of a and b and the average of x and y?

A. \(\frac{(x+y)}{(a+b)}\)
B. \(\frac{(a+b)}{(x+y)}\)
C. \((a+\frac{b}{4})/(y-\frac{x}{4})\)
D. \((a+\frac{b}{4})/(y-\frac{x}{2})\)
E. \(\frac{1}{2}\frac{(a+b)}{(x+y)}\)

Drill 4
Question: 8
Page: 294
[Reveal] Spoiler: OA
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1651 [0], given: 396

CAT Tests
Re: Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 17 Nov 2016, 16:37
Expert's post
Explanation

You should Plug In on this question. Variables a and b can be consecutive numbers such as 6 and 12. Plug in consecutive multiples of 8 for x and y, such as 8 and 16. Finding the ratio of the averages is easy now; the averages of each pair of numbers will be the halfway point between the two numbers. For 6 and 12, the average is 9. For 8 and 16, the average is 12.

The ratio of these averages is \(\frac{3}{4}\). Now, plug your original numbers into the answer choices and
look for the one that equals \(\frac{3}{4}\). Choice (A) gives you \(\frac{4}{3}\), which is the reciprocal of what you want. Cross it off. Choice (B) gives you \(\frac{3}{4}\)which is what you’re looking for. But don’t stop yet—keep checking all of the answers. Choice (D) also works with these numbers. No harm done, just try a different set of numbers and check the two remaining choices.

Plug in some really unusual numbers, like 24 and 30 for a and b, and 80 and 88 for x and y. Now you are looking for an answer to give you \(\frac{9}{28}\) Choice (B) no longer works, so choice (D) is your answer.

Hence option D is the only correct option.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Intern
Joined: 07 Aug 2016
Posts: 16
Followers: 0

Kudos [?]: 6 [0], given: 0

Re: Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 12 Jan 2017, 08:50
sandy could you define this approach? how can we be sure that substitution method is to be applied for this question and not solving it through algebraic method?
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1651 [0], given: 396

CAT Tests
Re: Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 12 Jan 2017, 09:56
Expert's post
shikha0611 wrote:
sandy could you define this approach? how can we be sure that substitution method is to be applied for this question and not solving it through algebraic method?


Algebraic method takes time. And time is something you will not have on the GRE. So substitution is the best option in this case.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Intern
Joined: 25 Dec 2016
Posts: 21
Followers: 0

Kudos [?]: 6 [0], given: 9

Re: Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 21 Jan 2017, 05:01
I could not understand your post sandy.Please explain.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1651 [0], given: 396

CAT Tests
Re: Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 21 Jan 2017, 06:22
Expert's post
Snehg wrote:
I could not understand your post sandy.Please explain.


Put value 6 and 12 for \(a\) and \(b\); and 8 and 16 for \(x\) and \(y\). See which options hold.

Then put value 30 and 36 for \(a\) and \(b\); and 40 and 48 for \(x\) and \(y\). To validate your answer.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Manager
Manager
Joined: 27 Sep 2017
Posts: 112
Followers: 1

Kudos [?]: 29 [0], given: 4

Re: Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 15 Dec 2017, 22:10
sandy wrote:
Snehg wrote:
I could not understand your post sandy.Please explain.


Put value 6 and 12 for \(a\) and \(b\); and 8 and 16 for \(x\) and \(y\). See which options hold.

Then put value 30 and 36 for \(a\) and \(b\); and 40 and 48 for \(x\) and \(y\). To validate your answer.


i think you are wrong, answer is B, I plug number you provide B is answer
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1651 [0], given: 396

CAT Tests
Re: Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 16 Dec 2017, 01:00
Expert's post
Peter wrote:
i think you are wrong, answer is B, I plug number you provide B is answer


You are correct! Answer is B and the official explanation is super wrong!

Fixed it! Thanks
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Manager
Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 77 [0], given: 99

Re: Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 09 May 2018, 08:59
sandy wrote:
Peter wrote:
i think you are wrong, answer is B, I plug number you provide B is answer


You are correct! Answer is B and the official explanation is super wrong!

Fixed it! Thanks


Yeah i got B too :)
Intern
Intern
Joined: 30 Aug 2018
Posts: 3
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 06 Oct 2018, 02:06
What is the final correct ans ? B or D?
1 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1651 [1] , given: 396

CAT Tests
Re: Integers a and b are consecutive multiples of 6. Integers x [#permalink] New post 06 Oct 2018, 06:30
1
This post received
KUDOS
Expert's post
Aroma wrote:
What is the final correct ans ? B or D?



It is B
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: Integers a and b are consecutive multiples of 6. Integers x   [#permalink] 06 Oct 2018, 06:30
Display posts from previous: Sort by

Integers a and b are consecutive multiples of 6. Integers x

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.