Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 15 Jul 2019, 23:30

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.

Close

Request Expert Reply

Confirm Cancel

Which of the following is the greatest?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 7585
GMAT 1: 760 Q51 V42
GPA: 3.82
Which of the following is the greatest?  [#permalink]

Show Tags

New post Updated on: 28 Mar 2018, 02:00
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

88% (01:19) correct 12% (01:10) wrong based on 73 sessions

HideShow timer Statistics


[GMAT math practice question]

Which of the following is the greatest?

\(A. (1+2)^5\)
\(B. 10^3\)
\(C. (1^2+2^2)^4\)
\(D. (2^2+2^2+2^2)^3\)
\(E. (2^2+2^2+2^2+2^2)^2\)

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Originally posted by MathRevolution on 26 Mar 2018, 00:56.
Last edited by MathRevolution on 28 Mar 2018, 02:00, edited 2 times in total.
Senior PS Moderator
User avatar
D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 751
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
GMAT ToolKit User Reviews Badge
Re: Which of the following is the greatest?  [#permalink]

Show Tags

New post Updated on: 26 Mar 2018, 04:53
1
MathRevolution wrote:
[GMAT math practice question]

Which of the following is the greatest?

\(A. (1+2)^5\)
\(B. 10^3\)
\(C. (1^2+2^2)^4\)
\(D. (2^2+2^2+2^2)^3\)
\(E. (2^2+2^2+2^2+2^2)^2\)


Hi MathRevolution,

I think the OA provided is incorrect.

\(A. (1+2)^5 = 3^5 = (3^3)*(3^2) = 27*9 <1000\)
\(B. 10^3 = 1000\)
\(C. (1^2+2^2)^4 = ( 1 + 4)^4 = 5^4 = 625 < 1000\)
\(D. (2^2+2^2+2^2)^3 = ( 4 + 4 + 4)^3 = 12^3 = (12^2)*12 = 144*12 > 1000\)
\(E. (2^2+2^2+2^2+2^2)^2 = ( 4 + 4 + 4 + 4)^2 = 16^2 = 256\)

Hence Option (D) seems to be the greatest, whereas OA = C.

Please look into it...

Best,
Gladi
_________________
Regards,
Gladi



“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)

Originally posted by Gladiator59 on 26 Mar 2018, 01:15.
Last edited by Gladiator59 on 26 Mar 2018, 04:53, edited 1 time in total.
Director
Director
User avatar
D
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 731
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Which of the following is the greatest?  [#permalink]

Show Tags

New post 26 Mar 2018, 03:20
MathRevolution wrote:
[GMAT math practice question]

Which of the following is the greatest?

\(A. (1+2)^5\)
\(B. 10^3\)
\(C. (1^2+2^2)^4\)
\(D. (2^2+2^2+2^2)^3\)
\(E. (2^2+2^2+2^2+2^2)^2\)


\(A. (1+2)^5 = 3^5\)
\(B. 10^3= 5^3*2^3 = 8*5^3\)
\(C. (1^2+2^2)^4 = 5^4\)
\(D. (2^2+2^2+2^2)^3= 12^3\)
\(E. (2^2+2^2+2^2+2^2)^2 = 16^2 = 4^4\)
4^4 <5^4 < 8*5^3 = 10^3 < 12^3
Also 3^5 = 243 < 4^4 = 256
A. < E. < C. < B. < D.

Answer D
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
Senior Manager
Senior Manager
User avatar
V
Joined: 22 Feb 2018
Posts: 426
Re: Which of the following is the greatest?  [#permalink]

Show Tags

New post 26 Mar 2018, 04:22
MathRevolution wrote:
[GMAT math practice question]

Which of the following is the greatest?

\(A. (1+2)^5\)
\(B. 10^3\)
\(C. (1^2+2^2)^4\)
\(D. (2^2+2^2+2^2)^3\)
\(E. (2^2+2^2+2^2+2^2)^2\)


OA should be D.
MathRevolution Please correct it.

Option A : \((1+2)^5\) = 3^5 =243
Option B : \(10^3\) = 1000
Option C :\((1^2+2^2)^4\) = \(5^4\)=625
Option D :\((2^2+2^2+2^2)^3\) = \(12^3\)=1728
Option E :\((2^2+2^2+2^2+2^2)^2\) = \(16^2\) = 256

We can put it more clearly
Option A: 243
Option B: 1000
Option C: 625
Option D: 1728
Option E: 256
_________________
Good, good Let the kudos flow through you
Senior Manager
Senior Manager
User avatar
V
Joined: 22 Feb 2018
Posts: 426
Re: Which of the following is the greatest?  [#permalink]

Show Tags

New post 26 Mar 2018, 04:34
1
Gladiator59 wrote:
MathRevolution wrote:
[GMAT math practice question]

Which of the following is the greatest?

\(A. (1+2)^5\)
\(B. 10^3\)
\(C. (1^2+2^2)^4\)
\(D. (2^2+2^2+2^2)^3\)
\(E. (2^2+2^2+2^2+2^2)^2\)


Hi MathRevolution,

I think the OA provided is incorrect.

\(A. (1+2)^5 = 3^5 = (3^3)^2 = 27^2 <1000\)

\(B. 10^3 = 1000\)
\(C. (1^2+2^2)^4 = ( 1 + 4)^4 = 5^4 = 625 < 1000\)
\(D. (2^2+2^2+2^2)^3 = ( 4 + 4 + 4)^3 = 12^3 = (12^2)*12 = 144*12 > 1000\)
\(E. (2^2+2^2+2^2+2^2)^2 = ( 4 + 4 + 4 + 4)^2 = 16^2 = 256\)

Hence Option (D) seems to be the greatest, whereas OA = C.

Please look into it...

Best,
Gladi


Gladiator59
Hi Gladi

I think that there is a mistake in calculation of option A.

\(3^5\) should be equal to \(3^3*3^2\)
as \((3^3)^2\)= \(3^3\)*\(3^3\)=\(3^6\)

regards for pointing out mistake in OA
_________________
Good, good Let the kudos flow through you
Senior PS Moderator
User avatar
D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 751
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
GMAT ToolKit User Reviews Badge
Re: Which of the following is the greatest?  [#permalink]

Show Tags

New post 26 Mar 2018, 04:54
Princ wrote:
Gladiator59 wrote:
MathRevolution wrote:
[GMAT math practice question]

Which of the following is the greatest?

\(A. (1+2)^5\)
\(B. 10^3\)
\(C. (1^2+2^2)^4\)
\(D. (2^2+2^2+2^2)^3\)
\(E. (2^2+2^2+2^2+2^2)^2\)


Hi MathRevolution,

I think the OA provided is incorrect.

\(A. (1+2)^5 = 3^5 = (3^3)^2 = 27^2 <1000\)

\(B. 10^3 = 1000\)
\(C. (1^2+2^2)^4 = ( 1 + 4)^4 = 5^4 = 625 < 1000\)
\(D. (2^2+2^2+2^2)^3 = ( 4 + 4 + 4)^3 = 12^3 = (12^2)*12 = 144*12 > 1000\)
\(E. (2^2+2^2+2^2+2^2)^2 = ( 4 + 4 + 4 + 4)^2 = 16^2 = 256\)

Hence Option (D) seems to be the greatest, whereas OA = C.

Please look into it...

Best,
Gladi


Gladiator59
Hi Gladi

I think that there is a mistake in calculation of option A.

\(3^5\) should be equal to \(3^3*3^2\)
as \((3^3)^2\)= \(3^3\)*\(3^3\)=\(3^6\)

regards for pointing out mistake in OA


Thanks for pointing out Princ,

Edited the post.

Best,
Gladi
_________________
Regards,
Gladi



“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3846
Location: Canada
Re: Which of the following is the greatest?  [#permalink]

Show Tags

New post 26 Mar 2018, 09:59
Top Contributor
MathRevolution wrote:
[GMAT math practice question]

Which of the following is the greatest?

\(A. (1+2)^5\)
\(B. 10^3\)
\(C. (1^2+2^2)^4\)
\(D. (2^2+2^2+2^2)^3\)
\(E. (2^2+2^2+2^2+2^2)^2\)


A. (1 + 2)^5 = (3)^5 = 243
B. 10^3 = 1,000
C. (1^2 + 2^2)^4 = (1 + 4)^4 = (5)^4 = 625
D. (2^2 + 2^2 + 2^2)^3 = (4 + 4 + 4)^3 = (12)^3
ASIDE: I won't bother evaluating this right now. We can already see that 12^3 is greater than 10^3 so, at the moment, D is the greatest value.

E. (2^2 + 2^2 + 2^2 + 2^2)^2 = (4 + 4 + 4 + 4)^2 = (16)^2 = 256

Answer: D

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 7585
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: Which of the following is the greatest?  [#permalink]

Show Tags

New post 28 Mar 2018, 02:01
=>

\(A. (1+2)^5 = 3^5 = 243\)
\(B. 10^3 = 1000\)
\(C. (1^2+2^2)^4 = 5^4 = 625\)
\(D. (2^2+2^2+2^2)^3 = 12^3 = 1728\)
\(E. (2^2+2^2+2^2+2^2)^2 = 16^2 = 256\)

Therefore, D is the answer.

Answer: D
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
GMAT Club Bot
Re: Which of the following is the greatest?   [#permalink] 28 Mar 2018, 02:01
Display posts from previous: Sort by

Which of the following is the greatest?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne