It is currently 14 Dec 2017, 10:45
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.

m and n are integers.

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 2504
Followers: 37

Kudos [?]: 362 [0], given: 1509

m and n are integers. [#permalink] New post 07 Dec 2017, 03:16
Expert's post
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
m and n are integers.

Quantity A
Quantity B
(\sqrt{10^{2m}})(\sqrt{10^{2n}})
10^{mn}


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

_________________

Get the 17 FREE GREPrepclub Tests

Intern
Intern
Joined: 03 Dec 2017
Posts: 16
Followers: 0

Kudos [?]: 5 [0], given: 5

Re: m and n are integers. [#permalink] New post 07 Dec 2017, 21:01
Can anyone explain this? thank you
1 KUDOS received
Intern
Intern
Joined: 01 Sep 2017
Posts: 20
Followers: 0

Kudos [?]: 18 [1] , given: 21

Re: m and n are integers. [#permalink] New post 08 Dec 2017, 05:13
1
This post received
KUDOS
Hello,

for this question it is best to try out different values.

For instance.

If m and n are both zero, both expressions will be equal to 1 (since anything exponent zero is one) => Answer C
If m and n are both 3, Qty A becomes 10^6 and Qty B becomes 10^9 => Answer B,

since the square root and exponent 2 cancel each other out, Qty A becomes 10^m * 10^n => 10^(m+n)= 10^(3+3)<10^(3*3)

Hence overall answer is D
2 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 666
Followers: 29

Kudos [?]: 503 [2] , given: 3

Re: m and n are integers. [#permalink] New post 08 Dec 2017, 10:59
2
This post received
KUDOS
Expert's post
Carcass wrote:
m and n are integers.

Quantity A
Quantity B
(\sqrt{10^{2m}})(\sqrt{10^{2n}})
10^{mn}


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.



RULE: √x = x^(1/2)

So, √[10^(2m)] = [10^(2m)]^(1/2)
= 10^m [once we apply the Power of a Power rule]

Likewise, √[10^(2n)] = [10^(2n)]^(1/2)
= 10^n [once we apply the Power of a Power rule]

We get:

QUANTITY A: (10^m)(10^n)
QUANTITY B: 10^(mn)

Simplify to get:
QUANTITY A: 10^(m+n)
QUANTITY B: 10^(mn)

Let's test some values of m and n

m = 0 and n = 0
We get:
QUANTITY A: 10^(0+0) = 10^0 = 1
QUANTITY B: 10^[(0)(0)] = 10^0 = 1
In this case the two quantities are equal

m = 1 and n = 1
We get:
QUANTITY A: 10^(1+1) = 10^2 = 100
QUANTITY B: 10^[(1)(1)] = 10^1 = 10
In this case Quantity is greater

Answer: D

RELATED VIDEO

_________________

Brent Hanneson – Founder of greenlighttestprep.com

Image

Check out the online reviews of our course

Re: m and n are integers.   [#permalink] 08 Dec 2017, 10:59
Display posts from previous: Sort by

m and n are integers.

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms of Use| 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®.