A manufacturer produces a certain men's athletic shoe in : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 08 Dec 2016, 03:07
GMAT Club 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.

Close

Request Expert Reply

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A manufacturer produces a certain men's athletic shoe in

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

Hide Tags

1 KUDOS received
Manager
Manager
avatar
Joined: 22 Mar 2012
Posts: 87
Location: United States (NY)
Concentration: General Management, Marketing
GMAT 1: Q V
GPA: 3.1
WE: Accounting (Other)
Followers: 0

Kudos [?]: 34 [1] , given: 27

A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 13 Feb 2013, 16:42
1
This post received
KUDOS
14
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

62% (03:09) correct 38% (01:50) wrong based on 286 sessions

HideShow timer Statistics

A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?

A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13

What's the fastest way to solve this? Thanks!
[Reveal] Spoiler: OA
2 KUDOS received
SVP
SVP
avatar
Joined: 16 Nov 2010
Posts: 1672
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 33

Kudos [?]: 507 [2] , given: 36

Premium Member Reviews Badge
Re: A manufacturer produces a certain men's athletic shoes... [#permalink]

Show Tags

New post 13 Feb 2013, 17:08
2
This post received
KUDOS
3
This post was
BOOKMARKED
KAS1 wrote:
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?

A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13

What's the fastest way to solve this? Thanks!

8 - k inches
9 - k + 0.25 inches

17 = ?

17 = k + 9 * 0.25 = K + 2.25

k + 2.25 = 1.2k

k = 2.25/0.2 = 11.25

Size of 15 = k + 7 * 0.25

= 11.25 + 1.75 = 13

Answer - E
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Moderator
Moderator
User avatar
Joined: 01 Sep 2010
Posts: 3033
Followers: 768

Kudos [?]: 6342 [0], given: 991

Re: A manufacturer produces a certain men's athletic shoes... [#permalink]

Show Tags

New post 13 Feb 2013, 17:32
Expert Post
5 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 7074
Location: Pune, India
Followers: 2086

Kudos [?]: 13294 [5] , given: 222

Re: A manufacturer produces a certain men's athletic shoes... [#permalink]

Show Tags

New post 13 Feb 2013, 20:07
5
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
KAS1 wrote:
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?

A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13

What's the fastest way to solve this? Thanks!


From size 8 to size 17, there are 9 increments of .25 each making the size 17 shoe 9*.25 = 2.25 inches more than the size 8 shoe.
This 2.25 accounts for 20% of the length of size 8 shoe so length of size 8 shoe is 2.25*5 = 11.25 inches
Length of size 15 shoe must be 11.25 + .25*7 = 13 inches
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

1 KUDOS received
Verbal Forum Moderator
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 631
Followers: 79

Kudos [?]: 1091 [1] , given: 136

Premium Member
Re: A manufacturer produces a certain men's athletic shoes... [#permalink]

Show Tags

New post 14 Feb 2013, 01:55
1
This post received
KUDOS
Let the length of the smallest shoe size(8) be x. Thus the length for size 17 is 1.2x. Now, we know that

x+9*(1/4) =1.2x

Thus, 0.2x = 9/4.

Multiply on both sides by 6,

1.2x = 9*6/4. Thus the length of size 15 shoe is : 1.2x-2*(1/4) = 9*6/4 - 1/2 = 26/2 = 13.

E.
_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

Manager
Manager
avatar
Joined: 22 Mar 2012
Posts: 87
Location: United States (NY)
Concentration: General Management, Marketing
GMAT 1: Q V
GPA: 3.1
WE: Accounting (Other)
Followers: 0

Kudos [?]: 34 [0], given: 27

Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 14 Feb 2013, 07:02
Thank you so much! Now this problem makes sense.
Expert Post
2 KUDOS received
MBA Section Director
User avatar
Affiliations: GMAT Club
Joined: 21 Feb 2012
Posts: 3722
Location: India
City: Pune
GMAT 1: 680 Q49 V34
GPA: 3.4
WE: Business Development (Manufacturing)
Followers: 379

Kudos [?]: 2782 [2] , given: 1961

GMAT ToolKit User Premium Member
Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 14 Feb 2013, 07:44
2
This post received
KUDOS
Expert's post
8-----9-----10-----11-----12-----13-----14-------15-------16--------17
x----------------------------x+1-------------------x+1.75----x+2------x+2.25

Condition 17 is 20% greater than 8 --------> x+2.25 = x+(20/100)x --------->100x + 225 = 120x --------> x=11.25 --------> x+1.75 = 13 simple enough
_________________

New GMAT Club App Tracker - Real Time Decision Updates

Discuss your BSchool application questions with MBA experts this Wednesday in a live chat

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12893
Followers: 561

Kudos [?]: 158 [0], given: 0

Premium Member
Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 13 Sep 2014, 21:30
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Intern
Intern
avatar
Joined: 06 May 2014
Posts: 11
Followers: 0

Kudos [?]: 0 [0], given: 7

Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 17 Sep 2015, 06:03
subhashghosh wrote:
KAS1 wrote:
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?

A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13

What's the fastest way to solve this? Thanks!

8 - k inches
9 - k + 0.25 inches

17 = ?

17 = k + 9 * 0.25 = K + 2.25

k + 2.25 = 1.2k

k = 2.25/0.2 = 11.25

Size of 15 = k + 7 * 0.25

= 11.25 + 1.75 = 13

Answer - E

where did you get 1.2k ?
Expert Post
Math Forum Moderator
avatar
Joined: 20 Mar 2014
Posts: 2648
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Followers: 113

Kudos [?]: 1310 [0], given: 786

GMAT ToolKit User Premium Member Reviews Badge
Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 17 Sep 2015, 06:11
anik1989 wrote:
subhashghosh wrote:
KAS1 wrote:
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?

A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13

What's the fastest way to solve this? Thanks!

8 - k inches
9 - k + 0.25 inches

17 = ?

17 = k + 9 * 0.25 = K + 2.25

k + 2.25 = 1.2k

k = 2.25/0.2 = 11.25

Size of 15 = k + 7 * 0.25

= 11.25 + 1.75 = 13

Answer - E

where did you get 1.2k ?


It is from the statement that the largest length = 20% MORE than the smallest size (=k).

20% more = k + k *0.2 = 1.2k

Hope this helps.
_________________

Thursday with Ron updated list as of July 1st, 2015: http://gmatclub.com/forum/consolidated-thursday-with-ron-list-for-all-the-sections-201006.html#p1544515
Rules for Posting in Quant Forums: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html
Writing Mathematical Formulae in your posts: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html#p1096628
GMATCLUB Math Book: http://gmatclub.com/forum/gmat-math-book-in-downloadable-pdf-format-130609.html
Everything Related to Inequalities: http://gmatclub.com/forum/inequalities-made-easy-206653.html#p1582891
Inequalities tips: http://gmatclub.com/forum/inequalities-tips-and-hints-175001.html
Debrief, 650 to 750: http://gmatclub.com/forum/650-to-750-a-10-month-journey-to-the-score-203190.html

Intern
Intern
avatar
Joined: 06 May 2014
Posts: 11
Followers: 0

Kudos [?]: 0 [0], given: 7

Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 17 Sep 2015, 06:22
VeritasPrepKarishma wrote:
KAS1 wrote:
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?

A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13

What's the fastest way to solve this? Thanks!


From size 8 to size 17, there are 9 increments of .25 each making the size 17 shoe 9*.25 = 2.25 inches more than the size 8 shoe.
This 2.25 accounts for 20% of the length of size 8 shoe so length of size 8 shoe is 2.25*5 = 11.25 inches
Length of size 15 shoe must be 11.25 + .25*7 = 13 inches

can not understand this part size 8 shoe is 2.25*5 = 11.25 inches
Expert Post
Math Forum Moderator
avatar
Joined: 20 Mar 2014
Posts: 2648
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Followers: 113

Kudos [?]: 1310 [0], given: 786

GMAT ToolKit User Premium Member Reviews Badge
Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 17 Sep 2015, 06:40
:( p
anik1989 wrote:
VeritasPrepKarishma wrote:
KAS1 wrote:
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?

A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13

What's the fastest way to solve this? Thanks!


From size 8 to size 17, there are 9 increments of .25 each making the size 17 shoe 9*.25 = 2.25 inches more than the size 8 shoe.
This 2.25 accounts for 20% of the length of size 8 shoe so length of size 8 shoe is 2.25*5 = 11.25 inches
Length of size 15 shoe must be 11.25 + .25*7 = 13 inches

can not understand this part size 8 shoe is 2.25*5 = 11.25 inches


look at it this way.

Let x be the smallest size corresponding to size 8

The largest size (for size 17) will thus become 9*.25+x

Given that the largest size is 20% more than the smallest size , thus 9*.25+x = 1.2x giving you x=11.25 and thus size 15 will be 7*.25+11.25=13

Hope this helps.
_________________

Thursday with Ron updated list as of July 1st, 2015: http://gmatclub.com/forum/consolidated-thursday-with-ron-list-for-all-the-sections-201006.html#p1544515
Rules for Posting in Quant Forums: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html
Writing Mathematical Formulae in your posts: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html#p1096628
GMATCLUB Math Book: http://gmatclub.com/forum/gmat-math-book-in-downloadable-pdf-format-130609.html
Everything Related to Inequalities: http://gmatclub.com/forum/inequalities-made-easy-206653.html#p1582891
Inequalities tips: http://gmatclub.com/forum/inequalities-tips-and-hints-175001.html
Debrief, 650 to 750: http://gmatclub.com/forum/650-to-750-a-10-month-journey-to-the-score-203190.html

Intern
Intern
avatar
Joined: 01 Jul 2015
Posts: 38
WE: Investment Banking (Investment Banking)
Followers: 1

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

Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 21 Oct 2015, 03:40
subhashghosh wrote:
KAS1 wrote:
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?

A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13

What's the fastest way to solve this? Thanks!

8 - k inches
9 - k + 0.25 inches

17 = ?

17 = k + 9 * 0.25 = K + 2.25

k + 2.25 = 1.2k

k = 2.25/0.2 = 11.25

Size of 15 = k + 7 * 0.25

= 11.25 + 1.75 = 13

Answer - E


How did you get k = 2.25/0.2 = 11.25??
Expert Post
Math Forum Moderator
avatar
Joined: 20 Mar 2014
Posts: 2648
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Followers: 113

Kudos [?]: 1310 [0], given: 786

GMAT ToolKit User Premium Member Reviews Badge
Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 21 Oct 2015, 04:14
torreadortorment wrote:
subhashghosh wrote:
KAS1 wrote:
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?

A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13

What's the fastest way to solve this? Thanks!

8 - k inches
9 - k + 0.25 inches

17 = ?

17 = k + 9 * 0.25 = K + 2.25

k + 2.25 = 1.2k

k = 2.25/0.2 = 11.25

Size of 15 = k + 7 * 0.25

= 11.25 + 1.75 = 13

Answer - E


How did you get k = 2.25/0.2 = 11.25??


That is exactly what you will get from the equation, 9*0.25+x=1.2x , where x=smallest size, 1.2x=largest size = 9*0.25+x.

Thus from 9*0.25+x=1.2x ---> 9*0.25=1.2x-x=0.2x --> 2.25=0.2x ---> x=2.25/0.2 = 11.25. Thus size 15 = 7*0.25+11.25 = 11.25+1.75 = 13. E is the correct answer.
_________________

Thursday with Ron updated list as of July 1st, 2015: http://gmatclub.com/forum/consolidated-thursday-with-ron-list-for-all-the-sections-201006.html#p1544515
Rules for Posting in Quant Forums: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html
Writing Mathematical Formulae in your posts: http://gmatclub.com/forum/rules-for-posting-please-read-this-before-posting-133935.html#p1096628
GMATCLUB Math Book: http://gmatclub.com/forum/gmat-math-book-in-downloadable-pdf-format-130609.html
Everything Related to Inequalities: http://gmatclub.com/forum/inequalities-made-easy-206653.html#p1582891
Inequalities tips: http://gmatclub.com/forum/inequalities-tips-and-hints-175001.html
Debrief, 650 to 750: http://gmatclub.com/forum/650-to-750-a-10-month-journey-to-the-score-203190.html

Manager
Manager
avatar
Joined: 13 Sep 2015
Posts: 90
Location: United States
Concentration: Social Entrepreneurship, International Business
GMAT 1: 770 Q50 V45
GPA: 3.84
Followers: 2

Kudos [?]: 9 [0], given: 0

Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 21 Oct 2015, 16:40
KAS1 wrote:
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?

A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13

What's the fastest way to solve this? Thanks!


first identify this is an arithmetic progression, then minus 7, coz you want to start from 1, or you're very likely to be trapped

s=a1......a17-7=a10

from here things get simple:

for all the arithmetic progressions, you have an=a1+(n-1)*the difference: the question gives it is 1/4

so: a17-7=10=a8-7=1+(10-1)*1/4=1.2a1

simplify it you get 1.2a1=a1+9/4, so a1=45/4

then a15-7=a8=45/4+(8-1)/4=52/4=13
Director
Director
User avatar
Joined: 23 Jan 2013
Posts: 568
Schools: Cambridge'16
Followers: 1

Kudos [?]: 41 [0], given: 40

CAT Tests
A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 22 Oct 2015, 01:04
9*(1/4)=9/4 inches is a difference between smallest and largest size

(9/4)*(100/20)=45/4 inches is the smallest size

7*(1/4)=7/4 is the difference between smallest size and size 15

So, 45/4+7/4=52/4=13

E
SVP
SVP
User avatar
Joined: 17 Jul 2014
Posts: 2085
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '19
GMAT 1: 550 Q39 V27
GMAT 2: 560 Q42 V26
GMAT 3: 560 Q43 V24
GMAT 4: 650 Q49 V30
WE: General Management (Transportation)
Followers: 18

Kudos [?]: 248 [0], given: 124

GMAT ToolKit User Premium Member Reviews Badge
Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 24 Oct 2015, 12:14
8 - x
9 = x+0.25
10=x+0.5
11=x+0.75
12=x+1
13=x+1.25
14=x+1.5
15=x+1.75
16=x+2
17=x+2.25

we know that length of 17 - length of 8 is equal to 0.2 of length of 8. From this, we can see that 2.25 = 0.2x => x=2.25*5 = 11.25
now we need to know the length of 15. 15 = x+1.75 and is equal to 13.
answer choice E.
Current Student
User avatar
Joined: 12 Aug 2015
Posts: 307
Concentration: General Management, Operations
GMAT 1: 640 Q40 V37
GMAT 2: 650 Q43 V36
GMAT 3: 600 Q47 V27
GPA: 3.3
WE: Management Consulting (Consulting)
Followers: 4

Kudos [?]: 257 [0], given: 1474

Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 12 Nov 2015, 04:50
this question by default is computationally intensive. the question forces you to back-solve and even with starting with C and understanding that C is a bit small, it took me 5 mins overall to rule out further whether E is the answer

mgmat is all about that.
_________________

KUDO me plenty

Manager
Manager
User avatar
Joined: 13 Jun 2016
Posts: 135
Location: United States
Concentration: Finance, Technology
Followers: 0

Kudos [?]: 60 [0], given: 424

Re: A manufacturer produces a certain men's athletic shoe in [#permalink]

Show Tags

New post 01 Jul 2016, 15:01
this one got to my head. Had no idea how to setup the equation. :madd
Re: A manufacturer produces a certain men's athletic shoe in   [#permalink] 01 Jul 2016, 15:01
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic In the manufacture of a certain product, 5 percent of the units produc Bunuel 4 20 Nov 2015, 00:38
1 Experts publish their posts in the topic A certain computer manufacturing firm last year produced 82 percent of Bunuel 4 16 Nov 2015, 02:15
3 Experts publish their posts in the topic A computer manufacturer produces a certain electronic component at a c Bunuel 4 05 Feb 2015, 08:04
10 Experts publish their posts in the topic A certain manufacturer produces items for which the producti Bunuel 9 05 Jan 2014, 12:13
2 Experts publish their posts in the topic A certain manufacturer produces items for which the producti Madelaine88 5 01 Mar 2011, 08:16
Display posts from previous: Sort by

A manufacturer produces a certain men's athletic shoe in

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.