GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 29 May 2020, 06:32

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

(58^2 + 58^2)/29^2 =

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 64240
(58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 30 Dec 2014, 06:46
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

76% (01:07) correct 24% (01:32) wrong based on 130 sessions

HideShow timer Statistics

Manager
Manager
User avatar
Joined: 22 Oct 2014
Posts: 83
Concentration: General Management, Sustainability
GMAT 1: 770 Q50 V45
GPA: 3.8
WE: General Management (Consulting)
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 30 Dec 2014, 07:14
The question looks quite terrifying when you just look at the question stem, but once you check the answer alternatives, it is actually quite fun. With a little bit of simplification, you can make a strategic guess, since the alternatives are quite far apart.

First, let's simplify the expression a bit:

\(\frac{(58^2+58^2)}{28^2}=\frac{2*58^2}{28^2}=\frac{2*2^2*29^2}{2^2*2^2*7^2}=\frac{29^2}{2*7^2}\).

We can't simplify the equation further, so now we can start guessing. 29 is close to 30, so the numerator should be just short of \(30^2=900\). The denominator is 2 times 49, so just below 100. 900 over 100 is 9, so the result should be just short of that. Checking the answer choices, we see that B is 8, so that must be the answer.

If you are still not convinced, you can compare the numberator with \(25^2=625\). 625 over 100 would be 6.25 and since 29 is closer to 30 than to 25, the precise result should be somewhere between 6.25 and 9, however closer to 9 than to 6.25.
Senior Manager
Senior Manager
avatar
B
Joined: 02 Dec 2014
Posts: 342
Location: Russian Federation
Concentration: General Management, Economics
GMAT 1: 640 Q44 V33
WE: Sales (Telecommunications)
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 30 Dec 2014, 14:50
My solution is the following. 58 is approximately equal to 60 and 28 is app. equal to 30. So we have the following fraction: ((60^2)+(60)^2)/(30^2)=(2*3600)/900=(7200/900)=8 Answer B (The exact figure is 8.5)
_________________
"Are you gangsters?" - "No we are Russians!"
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1709
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 30 Dec 2014, 18:11
Answer = B

\(\frac{(58^2 + 58^2)}{28^2} = \frac{2 * 58^2}{28^2}\)

\(= \frac{2 * (60-2)^2}{(30-2)^2}\)

\(= \frac{2 (60^2 - 2*60*2 + 4)}{30^2 - 2*30*2 + 4}\)

\(= \frac{2 * 60^2}{30^2}\)

\(= 2 * 2^2 = 8\)
Manager
Manager
User avatar
B
Joined: 20 Feb 2013
Posts: 73
Location: India
GMAT 1: 690 Q49 V34
WE: Information Technology (Computer Software)
Reviews Badge
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 30 Dec 2014, 21:40
By approximation, 58/28 = ~2 (lower side)
2^2 + 2^2 = 8
Answer B
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 64240
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 31 Dec 2014, 02:48
Manager
Manager
User avatar
Joined: 22 Oct 2014
Posts: 83
Concentration: General Management, Sustainability
GMAT 1: 770 Q50 V45
GPA: 3.8
WE: General Management (Consulting)
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 31 Dec 2014, 02:55
Wow. With that corrected type this becomes really easy, as we don't need to make any approximations:

\(\frac{2*(58^2*58^2)}{29^2}=\frac{2*2*2*29^2}{29^2}=8\)
Intern
Intern
User avatar
Joined: 10 Jun 2011
Posts: 7
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 31 Dec 2014, 03:06
1
= {(29 x 2)^2 + (29x2)^2}/29^2
= {(29^2) X (2^2)/(29^2)} +{(29^2) X (2^2)/(29^2)}
= 2^2+2^2
= 8
Manager
Manager
avatar
Joined: 21 Aug 2010
Posts: 159
Location: United States
GMAT 1: 700 Q49 V35
GMAT ToolKit User
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 31 Dec 2014, 08:05
Bunuel wrote:

Tough and Tricky questions: Arithmetic.



(58^2 + 58^2)/29^2 =

A. 4
B. 8
C. 29
D. 58
E. 116

Kudos for a correct solution.


(58^2 + 58^2)/29^2 = 2 (58^2)/29^2 = 2 * (2^2 * 29^2) / 29^2 = 2 * (2^2) = 2 * 4 = 8

Ans 8
_________________
-------------------------------------
Manager
Manager
User avatar
G
Joined: 13 Oct 2013
Posts: 130
Concentration: Strategy, Entrepreneurship
GMAT ToolKit User
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 31 Dec 2014, 12:50
1
Ans is 8
my approach was:
(58^2 + 58^2)/29^2 =58(58+58)/29*29
=58*116/29*29=2*4=8
Intern
Intern
avatar
Joined: 29 Nov 2014
Posts: 2
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 02 Jan 2015, 06:38
1
(58^2 + 58^2)/29^2
--> 2 * (58^2) / 29^2
--> 2 * ((29 * 2)^2) / 29^2
--> (2^3) * (29^2) / 29^2
--> 2^3 = 8
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2432
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Reviews Badge
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 02 Jan 2015, 06:48
1
\(29^2(2^2+2^2)/29^2\)
simplify by \(29^2\)

we get \(2^2+2^2=8\)
answ. B
Manager
Manager
avatar
Joined: 27 Jan 2013
Posts: 172
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT 1: 730 Q49 V40
GPA: 3.5
WE: Supply Chain Management (Telecommunications)
GMAT ToolKit User
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 03 Jan 2015, 01:41
the given (58^2+58^2)/29^2= 2*58^2/29^2 == 2*29^2*2^2/29^2 = 2*2*2= 8
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 64240
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 08 Jan 2015, 08:38
Senior Manager
Senior Manager
User avatar
G
Joined: 28 Jun 2019
Posts: 469
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 11 Aug 2019, 21:34
29^2 * (2^2 + 2^2)/29^2=
4+4=8
Option B

Posted from my mobile device
_________________
Always waiting
CEO
CEO
User avatar
V
Joined: 03 Jun 2019
Posts: 2900
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Premium Member Reviews Badge CAT Tests
Re: (58^2 + 58^2)/29^2 =  [#permalink]

Show Tags

New post 11 Aug 2019, 22:29
Bunuel wrote:

Tough and Tricky questions: Arithmetic.



(58^2 + 58^2)/29^2 =

A. 4
B. 8
C. 29
D. 58
E. 116

Kudos for a correct solution.


29^2(4+4)/29^2= 8

IMO B

Posted from my mobile device
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
GMAT Club Bot
Re: (58^2 + 58^2)/29^2 =   [#permalink] 11 Aug 2019, 22:29

(58^2 + 58^2)/29^2 =

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





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