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

It is currently 22 Jul 2018, 15:33

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 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

2 KUDOS received
Manager
Manager
avatar
Joined: 22 Mar 2012
Posts: 85
Location: United States (NY)
Concentration: General Management, Marketing
GPA: 3.1
WE: Accounting (Other)
A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 13 Feb 2013, 17:42
2
24
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

65% (02:17) correct 35% (02:01) wrong based on 579 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!
Most Helpful Expert Reply
Expert Post
5 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
P
Joined: 16 Oct 2010
Posts: 8132
Location: Pune, India
Re: A manufacturer produces a certain men's athletic shoes...  [#permalink]

Show Tags

New post 13 Feb 2013, 21:07
5
7
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
Private Tutor for GMAT
Contact: bansal.karishma@gmail.com

Most Helpful Community Reply
5 KUDOS received
Retired Moderator
avatar
B
Joined: 16 Nov 2010
Posts: 1467
Location: United States (IN)
Concentration: Strategy, Technology
Premium Member Reviews Badge
Re: A manufacturer produces a certain men's athletic shoes...  [#permalink]

Show Tags

New post 13 Feb 2013, 18:08
5
4
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

General Discussion
1 KUDOS received
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 619
Premium Member
Re: A manufacturer produces a certain men's athletic shoes...  [#permalink]

Show Tags

New post 14 Feb 2013, 02:55
1
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

Expert Post
4 KUDOS received
MBA Section Director
User avatar
D
Status: Back to work...
Affiliations: GMAT Club
Joined: 22 Feb 2012
Posts: 5194
Location: India
City: Pune
GMAT 1: 680 Q49 V34
GPA: 3.4
WE: Business Development (Manufacturing)
GMAT ToolKit User Premium Member
Re: A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 14 Feb 2013, 08:44
4
1
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
_________________

Chances of Getting Admitted After an Interview [Data Crunch]


Must Read Forum Topics Before You Kick Off Your MBA Application

New GMAT Club Decision Tracker - Real Time Decision Updates

Intern
Intern
avatar
Joined: 06 May 2014
Posts: 11
Re: A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 17 Sep 2015, 07:03
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 ?
Current Student
avatar
S
Joined: 20 Mar 2014
Posts: 2641
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
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, 07:11
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.
Intern
Intern
avatar
Joined: 06 May 2014
Posts: 11
Re: A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 17 Sep 2015, 07:22
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
2 KUDOS received
Current Student
avatar
S
Joined: 20 Mar 2014
Posts: 2641
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
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, 07:40
2
:( 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.
Intern
Intern
avatar
Joined: 02 Jul 2015
Posts: 37
WE: Investment Banking (Investment Banking)
Re: A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 21 Oct 2015, 04:40
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??
Current Student
avatar
S
Joined: 20 Mar 2014
Posts: 2641
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
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, 05:14
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.
Manager
Manager
avatar
Joined: 13 Sep 2015
Posts: 83
Location: United States
Concentration: Social Entrepreneurship, International Business
GMAT 1: 770 Q50 V45
GPA: 3.84
Re: A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 21 Oct 2015, 17:40
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
G
Joined: 23 Jan 2013
Posts: 600
Schools: Cambridge'16
A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 22 Oct 2015, 02:04
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
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2723
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
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, 13:14
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.
Senior SC Moderator
User avatar
V
Joined: 14 Nov 2016
Posts: 1322
Location: Malaysia
GMAT ToolKit User Premium Member CAT Tests
Re: A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 09 Feb 2017, 16:34
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!


L(8) = Length of size 8
L(17) = length of size 17

L(17) = 1.2 * L(8)

L(17) = L(8) + 0.25 *(17 - 8)
L(17) = L(8) + 0.25 * 9
L(17) = L(8) + 2.25

IF L(8) + 2.25 = 1.2 * L(8)
THEN 0.2 * L(8) = 2.25
L(8) = 2.25 / 0.2
L(8) = 11.25
L(15) = 11.25 + (15 - 8) * 0.25
L(15) = 11.25 + 7 * 0.25
L(15) = 11.25 + 1.75
L(8) = 13.00
_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Rules for posting in verbal forum | Please DO NOT post short answer in your post!

Advanced Search : https://gmatclub.com/forum/advanced-search/

Manager
Manager
avatar
S
Joined: 03 Jan 2017
Posts: 178
Re: A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 21 Mar 2017, 15:15
le'ts do it! try equations:
1,2 small=large
small+9/4 (means 17-8)=large
s+9/4=1,2
s=0,2*9/4=90/8
now we need to find size 15: 90/8+7/4=104/8=13

Answer is E
Manager
Manager
avatar
B
Joined: 23 Dec 2013
Posts: 204
Location: United States (CA)
GMAT 1: 710 Q45 V41
GMAT 2: 760 Q49 V44
GPA: 3.76
Reviews Badge
Re: A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 28 May 2017, 21:16
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!


The fastest way to solve this problem is by creating a table and setting up simple algebra.

List the sizes in ascending order

Size | Length
8 | x
9 | x + 1/4
10 | x + 1/2
11 | x + 3/4
12 | x + 1
13 | x + 5/4
14 | x + 6/4
15 | x + 7/4
16 | x + 2
17 | x + 9/4

x + 9/4 = 6/5*x from the info provided (the largest size is 20% greater than the smallest size).

x = 13.
Intern
Intern
avatar
B
Joined: 03 Sep 2017
Posts: 3
A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 20 Nov 2017, 13:20
Differences in length between size 8 (smallest) to size 17 (largest): L - S= 9*(1/4)= 2.25 inches. (1)
The largest size of this shoe is 20% longer than the smallest size: 1.2 S = L or 5S=6L (2)

From (1) and (2) => L = 2.25*6 =13.5 inches

Size 15= Size 17 - 2*(1/4) = 13.5 - 0.5 = 13 inches => Answer is E
Manager
Manager
User avatar
G
Joined: 21 Mar 2017
Posts: 144
Location: India
GMAT 1: 560 Q48 V20
WE: Other (Computer Software)
GMAT ToolKit User Premium Member Reviews Badge
Re: A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 23 Nov 2017, 00:46
Let L= largest shoe, S smallest shoe.

L-S = 9/4 ( difference in size / corresponding increase)

L= 1.2S

Solve for L. L would come out to be 13.5. Substract 0.5 for 15 size.

Answer 13.
_________________

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
When nothing seem to help, I would go and look at a Stonecutter hammering away at his rock perhaps a hundred time without as much as a crack showing in it.
Yet at the hundred and first blow it would split in two.
And I knew it was not that blow that did it, But all that had gone Before
.

Expert Post
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12014
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A manufacturer produces a certain men's athletic shoe in  [#permalink]

Show Tags

New post 04 Mar 2018, 15:17
Hi All,

This question has a lot of little facts to keep track of, but the math behind it isn't too tough.

We're told that there are integer shoe sizes (from 8 to 17) and each increase (from 8 to 9, 9 to 10, 10 to 11, etc.) increases the length of the shoe by 1/4 inch. Next, we're told that the largest shoe (size 17) is 20% longer than the smallest shoe (size 8). We're asked for the size of a SIZE 15 SHOE…

From size 8 to size 17, there are 9 "increases" of 1/4 inch.

9(1/4) = 2.25 inches

This 2.25 inches represents the 20% increase in length from size 8 to size 17, so we can determine the length of a size 8 shoe.

X = length of a size 8 shoe

.2X = 2.25
X = (2.25)(5)
X = 11.25

Size 8 = 11.25 inches
Size 17 = 13.5 inches

From here, we can either "count up" from Size 8 or "count down" from Size 17. Counting down will likely be easier and faster.

Size 17 = 13.5 - 2(1/4) = 13
Size 15 = 13 inches

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Re: A manufacturer produces a certain men's athletic shoe in &nbs [#permalink] 04 Mar 2018, 15:17
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  

Events & Promotions

PREV
NEXT


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

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

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®.