Find all School-related info fast with the new School-Specific MBA Forum

It is currently 30 May 2016, 12:41
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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A stationery store sells pens and pencils. If the price of

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

Hide Tags

Manager
Manager
avatar
Joined: 14 Apr 2010
Posts: 229
Followers: 2

Kudos [?]: 103 [0], given: 1

A stationery store sells pens and pencils. If the price of [#permalink]

Show Tags

New post 02 Aug 2010, 20:37
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

57% (01:58) correct 43% (01:05) wrong based on 67 sessions

HideShow timer Statistics

A stationery store sells pens and pencils. If the price of each item is expressed as a non-zero whole number of cents, how much do 5 pencils cost?
1. 5 pencils and 3 pens cost 30 cents.
2. 4 pencils and 4 pens cost 32 cents.
[Reveal] Spoiler: OA
Manager
Manager
avatar
Joined: 16 Apr 2010
Posts: 221
Followers: 4

Kudos [?]: 99 [0], given: 12

Re: cost of pencils [#permalink]

Show Tags

New post 02 Aug 2010, 22:35
Hi,

Let p be the price of pen and c price of pencils
Statement 1
Consider the below scenarios:
p=1, then c=(30-5)/3, which is not possible
p=2, then c=(30-10)/3, which is not possible
p=3, then c=(30-15)/3, which is possible
p=4, then c=(30-20)/3, which is not possible
p=5, then c=(30-25)/3, which is not possible

So the only solution is p=3 and c=5.

Statement 2
4p+4c=32, thus p+c=8 has several solutions.
p=1, c=7
p=2, c=6.... etc


Regards,
Jack
Manager
Manager
avatar
Joined: 03 Jun 2010
Posts: 183
Location: United States (MI)
Concentration: Marketing, General Management
WE: Business Development (Consumer Products)
Followers: 6

Kudos [?]: 45 [0], given: 40

GMAT ToolKit User Reviews Badge
Re: cost of pencils [#permalink]

Show Tags

New post 02 Aug 2010, 23:54
from (1) we only have 5*5+3*5=30
suff
from (2) we have
4*4+4*4=32
4*3+4*5=32
4*2+4*6=32
uns

Answer is A.
Senior Manager
Senior Manager
User avatar
Joined: 25 Feb 2010
Posts: 481
Followers: 4

Kudos [?]: 70 [0], given: 10

Re: cost of pencils [#permalink]

Show Tags

New post 04 Aug 2010, 20:28
ulm wrote:
from (1) we only have 5*5+3*5=30
suff
from (2) we have
4*4+4*4=32
4*3+4*5=32
4*2+4*6=32
uns

Answer is A.



5*5+3*5=30

it come out to be 40
_________________

GGG (Gym / GMAT / Girl) -- Be Serious

Its your duty to post OA afterwards; some one must be waiting for that...

Intern
Intern
avatar
Joined: 19 Nov 2015
Posts: 3
Followers: 0

Kudos [?]: 1 [0], given: 47

Re: A stationery store sells pens and pencils. If the price of [#permalink]

Show Tags

New post 22 Feb 2016, 14:09
Could some expert explain why OA is A? Thanks
Expert Post
Math Forum Moderator
avatar
Joined: 20 Mar 2014
Posts: 2606
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Followers: 97

Kudos [?]: 1092 [0], given: 777

Re: A stationery store sells pens and pencils. If the price of [#permalink]

Show Tags

New post 22 Feb 2016, 14:29
Expert's post
1
This post was
BOOKMARKED
doctorjimmy wrote:
Could some expert explain why OA is A? Thanks


It's because of the fact that the number of pens and pencils must be integers. You can not have 0.2 or 1.5 or 2.5 pencils or pens.

Thus from statement 1, you get 5pencils+3pens = 30

Or 5*pencils = 30-3*pens ---> pencils = (30-3*pencils)/5

Now start by putting in pens = 1 such that you get an integer value of pencils and you can not have pencils = 0 or negative number. The only set of values that work is

Pens =5, pencils = 3 and this is the only unique set of values that you will get.

Thus this statement is sufficient.

Hope this helps.

The concept from this question can also be applied to questions asking number of oranges or bananas or students etc.

Posted from my mobile device Image
_________________

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: 14 Dec 2015
Posts: 4
Followers: 0

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

Re: A stationery store sells pens and pencils. If the price of [#permalink]

Show Tags

New post 26 Mar 2016, 21:26
Hi, in the question they are giving the number of pencils as 5 so theres no debate about pencils being 1.5 I think its A because the question stem mentions that the price has to be expressed in a non-zero whole number of cents therefore the price has to be a whole number and not a fraction (which is usually the case in prices).
Usually a question which involves the reasoning that pencils cannot be fractions has prices given and not the number of pencils
Re: A stationery store sells pens and pencils. If the price of   [#permalink] 26 Mar 2016, 21:26
    Similar topics Author Replies Last post
Similar
Topics:
1 Experts publish their posts in the topic In a certain store, the price of five pens is equal to the price of a Bunuel 4 16 Sep 2015, 04:38
3 Experts publish their posts in the topic A store sells erasers for 0.23$ per piece and pencil for 0.1 honchos 2 26 Jul 2014, 10:36
Experts publish their posts in the topic At a furniture store, each chair sells for the same price an avohden 2 02 Oct 2013, 10:20
2 Experts publish their posts in the topic A pencil costs $3 and a pen costs $7. If pens and pencils innocous 2 16 Aug 2013, 08:36
Experts publish their posts in the topic Store R and S each discounted their selling prices of a cert summer101 2 11 Jun 2013, 02:04
Display posts from previous: Sort by

A stationery store sells pens and pencils. If the price of

  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®.