GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Oct 2019, 18:10

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

A large rectangular decorative panel of 45 meters (horizontal dimensio

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

Hide Tags

Find Similar Topics 
GMATH Teacher
User avatar
P
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935
A large rectangular decorative panel of 45 meters (horizontal dimensio  [#permalink]

Show Tags

New post 27 Feb 2019, 15:17
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

65% (02:27) correct 35% (03:00) wrong based on 31 sessions

HideShow timer Statistics

GMATH practice exercise (Quant Class 16)

A large rectangular decorative panel of 45 meters (horizontal dimension) by 6 meters (vertical dimension) is to be completely divided into M identical squares, all of them with horizontal and vertical edges. If the smallest measure of length considered for the edges is centimeters (1 meter = 100 centimeters), what is the minimum possible value of M?

(A) 30
(B) 60
(C) 75
(D) 150
(E) 180

_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
GMATH Teacher
User avatar
P
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935
Re: A large rectangular decorative panel of 45 meters (horizontal dimensio  [#permalink]

Show Tags

New post 28 Feb 2019, 06:44
fskilnik wrote:
GMATH practice exercise (Quant Class 16)

A large rectangular decorative panel of 45 meters (horizontal dimension) by 6 meters (vertical dimension) is to be completely divided into M identical squares, all of them with horizontal and vertical edges. If the smallest measure of length considered for the edges is centimeters (1 meter = 100 centimeters), what is the minimum possible value of M?

(A) 30
(B) 60
(C) 75
(D) 150
(E) 180

\({\rm{panel}}\,\,:\,\,\,4500\,{\rm{cm}}\,\, \times \,\,\,600\,{\rm{cm}}\)

\(M\,\,{\rm{squares}}\,\,{\rm{:}}\,\,\,k\,{\rm{cm}}\,\, \times \,\,\,k\,{\rm{cm}}\,\,\,{\rm{each}}\,\,\,\,\,\,\,\left( {k \ge 1\,\,{\mathop{\rm int}} } \right)\)

\({\rm{?}}\,\, = \,\,\,\min \left( M \right)\)


\(\left. \matrix{
{{4500} \over k} = {{{2^2} \cdot {3^2} \cdot {5^3}} \over k} = {{\mathop{\rm int}} _1}\,\,\,\,\left[ {\# \,\,{\rm{columns}}} \right]\,\, \hfill \cr
{{600} \over k} = {{{2^3} \cdot 3 \cdot {5^2}} \over k} = {{\mathop{\rm int}} _2}\,\,\,\,\,\,\left[ {\# \,\,{\rm{rows}}} \right] \hfill \cr} \right\}\,\,\,\, \Rightarrow \,\,\,\,? = \min \left( {{{{\mathop{\rm int}} }_1} \cdot {{{\mathop{\rm int}} }_2}} \right)\)


\(?\,\,\,:\,\,\,k = GCF\left( {4500,600} \right) = {2^2} \cdot 3 \cdot {5^2}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\left\{ \matrix{
\,{{\mathop{\rm int}} _1} = 3 \cdot 5 \hfill \cr
\,{{\mathop{\rm int}} _2} = 2 \hfill \cr} \right.\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,? = 30\)


The correct answer is (A).


We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: A large rectangular decorative panel of 45 meters (horizontal dimensio  [#permalink]

Show Tags

New post 28 Feb 2019, 11:03
fskilnik wrote:
GMATH practice exercise (Quant Class 16)

A large rectangular decorative panel of 45 meters (horizontal dimension) by 6 meters (vertical dimension) is to be completely divided into M identical squares, all of them with horizontal and vertical edges. If the smallest measure of length considered for the edges is centimeters (1 meter = 100 centimeters), what is the minimum possible value of M?

(A) 30
(B) 60
(C) 75
(D) 150
(E) 180


length = 45* 100 ; 4500 mtrs ; 3^2 *5^3 * 2^2
width= 600 mtrs; 2^3* 3*5^2

GCF ; 2^2*3*5^2
2*3*5 ; 30 min value ..
IMO A
GMAT Club Bot
Re: A large rectangular decorative panel of 45 meters (horizontal dimensio   [#permalink] 28 Feb 2019, 11:03
Display posts from previous: Sort by

A large rectangular decorative panel of 45 meters (horizontal dimensio

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





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