It is currently 27 Nov 2020, 23:06
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.

The ratio of 16 to g is equal to the ratio of g to 49.

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3036 [0], given: 394

The ratio of 16 to g is equal to the ratio of g to 49. [#permalink] New post 19 Aug 2018, 03:02
Expert's post
00:00

Question Stats:

32% (00:32) correct 67% (00:43) wrong based on 119 sessions
The ratio of 16 to g is equal to the ratio of g to 49.

Quantity A
Quantity B
g
\(28\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

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

Try our free Online GRE Test

GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 3907
Followers: 164

Kudos [?]: 4772 [0], given: 70

Re: The ratio of 16 to g is equal to the ratio of g to 49. [#permalink] New post 21 Aug 2018, 11:26
Expert's post
sandy wrote:
The ratio of 16 to g is equal to the ratio of g to 49.

Quantity A
Quantity B
g
\(28\)


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


GIVEN: The ratio of 16 to g is equal to the ratio of g to 49.
In other words, 16/g = g/49
Cross multiply to get: g² = (16)(49) [Let's not find this product yet. You'll see why shortly]

Notice that 16 = 4² and 49 = 7²
So, we get: g² = (4²)(7²)

We have a nice rule that says (a^x)(b^x) = (ab)^x

So we can write: g² = 28²

IMPORTANT: Many people will conclude (incorrectly) that g must equal 28
However, we should also note that (-28)² = 28², so g could also equal -28

If g = 28, then Quantity A EQUALS Quantity B
If g = -28, then Quantity B is GREATER THAN Quantity B

Answer: D

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for GRE Question of the Day emails

1 KUDOS received
Senior Manager
Senior Manager
Joined: 17 Aug 2019
Posts: 280
Followers: 2

Kudos [?]: 40 [1] , given: 70

Re: The ratio of 16 to g is equal to the ratio of g to 49. [#permalink] New post 19 May 2020, 05:46
1
This post received
KUDOS
My question :
If the variable is given as ratio, we don't assume directly that it is positive ?
Intern
Intern
Joined: 25 Aug 2020
Posts: 14
Followers: 0

Kudos [?]: 8 [0], given: 0

Re: The ratio of 16 to g is equal to the ratio of g to 49. [#permalink] New post 24 Sep 2020, 10:29
Hi!
I like to find whatever clues the GRE question gives us, and this one is found by attempting to find the LCM of 16 and 49. By finding their respective prime number roots (2^4 and 7^2), we have no choice but to multiply them together! Multiplying 16*49= 784. This means that the first ratio is 16:784 where g=784. Remember that ratios can be increased or decreased by a factor so long as the ratio remains consistent which is why we can reduce that factor to 1:49 which is where we get our second g value. Notice how we got g= 784 and 1? This means that the answer choice is D! Cheers!
Intern
Intern
Joined: 23 Dec 2019
Posts: 41
Concentration: Finance, Economics
GMAT 1: 690 Q47 V38
Followers: 0

Kudos [?]: 22 [0], given: 0

Re: The ratio of 16 to g is equal to the ratio of g to 49. [#permalink] New post 24 Sep 2020, 21:16
16/g=g/49
or, g^2=16*49
or, g= (+/-) (4*7)
so, g= 28 or -28.
So, we can not determine. D
Re: The ratio of 16 to g is equal to the ratio of g to 49.   [#permalink] 24 Sep 2020, 21:16
Display posts from previous: Sort by

The ratio of 16 to g is equal to the ratio of g to 49.

  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®.