It is currently 15 Jul 2020, 04:33
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.

x is an integer greater than 1.

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
3 KUDOS received
Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4804
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 163

Kudos [?]: 2776 [3] , given: 394

x is an integer greater than 1. [#permalink] New post 24 Dec 2015, 07:11
3
This post received
KUDOS
Expert's post
00:00

Question Stats:

64% (00:53) correct 35% (00:45) wrong based on 242 sessions
x is an integer greater than 1.

Quantity A
Quantity B
\(3^{(x+1)}\)
\(4^x\)


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.


Practice Questions
Question: 3
Page: 156
Difficulty: hard
[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

6 KUDOS received
Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4804
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 163

Kudos [?]: 2776 [6] , given: 394

Re: x is an integer greater than 1. [#permalink] New post 24 Dec 2015, 07:20
6
This post received
KUDOS
Expert's post
We have x is an integer greater than 1.

Now we have here:


\(3^(^x^+^1^)\) compared to \(4^x\)

which can be rewritten as:

\(3 * 3^x\) compared to \(4^x\)

or

\(3\) compared to \(\frac{4^x}{3^x}\)

or \(3\) compared to \(1.3333^x\)

Now we can see that for some values of x such as 2 and 3 Quantity A is bigger for every other value of x Quantity B is greater.

Thus D is the correct option.
_________________

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

Try our free Online GRE Test

2 KUDOS received
Intern
Intern
Joined: 28 Mar 2016
Posts: 11
Followers: 0

Kudos [?]: 3 [2] , given: 0

Re: x is an integer greater than 1. [#permalink] New post 29 Mar 2016, 08:45
2
This post received
KUDOS
I don't get how you got from 3^(x+1) to 3 * 3^x exactly, and what values you used to show statements not to be sufficient
3 KUDOS received
Manager
Manager
User avatar
Status: Professional GRE Tutor since 2002
Affiliations: AB, cum laude, Harvard University
Joined: 10 Apr 2016
Posts: 70
Location: United States (CA)
Age: 40
GRE 1: Q168 V169
Followers: 16

Kudos [?]: 98 [3] , given: 2

Re: x is an integer greater than 1. [#permalink] New post 10 Apr 2016, 19:52
3
This post received
KUDOS
Expert's post
Attached is a visual that should help.
Attachments

Screen Shot 2016-04-10 at 8.51.29 PM.png
Screen Shot 2016-04-10 at 8.51.29 PM.png [ 103.12 KiB | Viewed 8874 times ]


_________________

Harvard grad and verified 99% GRE scorer, offering high-quality private GRE tutoring and coaching, both in-person (San Diego, CA, USA) and online worldwide, since 2002.

GRE Action Plan and Free E-Book - McElroy Tutoring

Personal Best GRE Score: 168/170 Quant (95%), 169/170 Verbal (99%), 5.5 AWA (98%)

GRE Vocab Capacity - Amazon.com

Vince and Brian's Free GRE PowerPrep Explanations

My GRE AMA on Reddit

Check Me Out on GMAT Club

My GRE Subreddit: r/GREpreparation

2 KUDOS received
Manager
Manager
User avatar
Status: Professional GRE Tutor since 2002
Affiliations: AB, cum laude, Harvard University
Joined: 10 Apr 2016
Posts: 70
Location: United States (CA)
Age: 40
GRE 1: Q168 V169
Followers: 16

Kudos [?]: 98 [2] , given: 2

Re: x is an integer greater than 1. [#permalink] New post 10 Apr 2016, 19:59
2
This post received
KUDOS
Expert's post
Here is a visual version of sandy's answer (yes, you can do that when numbers have common exponents). You could also argue that it's unnecessary to even try x=4 because \(\frac{4}{3}^x\) will eventually get very large as x increases, whereas 3 is a constant and thus stays the same.
Attachments

Screen Shot 2016-04-10 at 8.58.16 PM.png
Screen Shot 2016-04-10 at 8.58.16 PM.png [ 89.58 KiB | Viewed 8871 times ]


_________________

Harvard grad and verified 99% GRE scorer, offering high-quality private GRE tutoring and coaching, both in-person (San Diego, CA, USA) and online worldwide, since 2002.

GRE Action Plan and Free E-Book - McElroy Tutoring

Personal Best GRE Score: 168/170 Quant (95%), 169/170 Verbal (99%), 5.5 AWA (98%)

GRE Vocab Capacity - Amazon.com

Vince and Brian's Free GRE PowerPrep Explanations

My GRE AMA on Reddit

Check Me Out on GMAT Club

My GRE Subreddit: r/GREpreparation

1 KUDOS received
Intern
Intern
Joined: 18 Sep 2019
Posts: 30
Followers: 0

Kudos [?]: 2 [1] , given: 0

Re: x is an integer greater than 1. [#permalink] New post 15 Oct 2019, 15:26
1
This post received
KUDOS
Interesting question
1 KUDOS received
GRE Forum Moderator
Joined: 21 Sep 2019
Posts: 160
Followers: 0

Kudos [?]: 119 [1] , given: 2

CAT Tests
Re: x is an integer greater than 1. [#permalink] New post 24 Oct 2019, 22:14
1
This post received
KUDOS
At x=1, A is greater
At x=4, B is greater

So we cannot say for sure which number would be greater.

Hence, D is the Answer.
2 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 3535
Followers: 134

Kudos [?]: 4020 [2] , given: 65

CAT Tests
Re: x is an integer greater than 1. [#permalink] New post 12 May 2020, 06:22
2
This post received
KUDOS
Expert's post
Sanpreet wrote:
At x=1, A is greater
At x=4, B is greater

So we cannot say for sure which number would be greater.

Hence, D is the Answer.


Be careful.
The question tells us that x is an integer greater than 1.
That said, the correct answer is still D
_________________

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

1 KUDOS received
Intern
Intern
Joined: 18 May 2020
Posts: 35
Followers: 0

Kudos [?]: 26 [1] , given: 2

CAT Tests
Re: x is an integer greater than 1. [#permalink] New post 30 May 2020, 11:44
1
This post received
KUDOS
This became more clear to me AFTER I answered the question and I graphed each of the values.

At the lower values of x (like at 0, 1, 2, 3), 3^(x+1) is greater than 4^x.

But at the extremes, 4^x quickly becomes greater for all values of x
Attachment:
Capture.JPG
Capture.JPG [ 43.52 KiB | Viewed 760 times ]


So, plugging in numbers via trial and error is all well and good, but you really gotta think about the big picture. If you can't intuitively think about what the graphs might look like, try values that are a little bigger than sequential; this is where the test makers can get you!!
Attachments

Capture2.JPG
Capture2.JPG [ 20.05 KiB | Viewed 760 times ]

Re: x is an integer greater than 1.   [#permalink] 30 May 2020, 11:44
Display posts from previous: Sort by

x is an integer greater than 1.

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.