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

It is currently 23 Jun 2018, 03:33

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Aaliyah purchased 5 pencils and pens. If each pencil costs 18 cents an

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46291
Aaliyah purchased 5 pencils and pens. If each pencil costs 18 cents an [#permalink]

Show Tags

New post 05 Apr 2017, 03:24
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

63% (02:24) correct 38% (01:40) wrong based on 55 sessions

HideShow timer Statistics

Aaliyah purchased 5 pencils and pens. If each pencil costs 18 cents and each pen costs 27 cents, how many pencils did Aaliyah buy?

(1) Aaliyah spent less than 126 cents.
(2) Aaliyah purchased more than one pencil.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
User avatar
G
Joined: 22 Jun 2016
Posts: 250
Reviews Badge
Aaliyah purchased 5 pencils and pens. If each pencil costs 18 cents an [#permalink]

Show Tags

New post 05 Apr 2017, 04:10
Statement 1:
Aaliyah could have bought 4 Pencils and 1 pen. Total cost: 4*18+1*27=99
Aaliyah could have bought 3 Pencils and 2 pens. Total cost: 3*18+2*27=108

Insufficient!

Statement 2:

Clearly insufficient!

Combining 1 and 2:

Aaliyah could have bought 3 Pencils and 2 pens. Total cost: 3*18+2*27=108
Aaliyah could have bought 2 Pencils and 3 pens. Total cost: 2*18+3*27=117

Again Insufficient!

Hence, answer will be E!
_________________

P.S. Don't forget to give Kudos :)

Expert Post
1 KUDOS received
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2773
Location: United States (CA)
Re: Aaliyah purchased 5 pencils and pens. If each pencil costs 18 cents an [#permalink]

Show Tags

New post 14 Apr 2017, 05:59
1
Bunuel wrote:
Aaliyah purchased 5 pencils and pens. If each pencil costs 18 cents and each pen costs 27 cents, how many pencils did Aaliyah buy?

(1) Aaliyah spent less than 126 cents.
(2) Aaliyah purchased more than one pencil.


We are given that Aaliyah purchased 5 pencils and pens and that each pencil costs 18 cents and each pen costs 27. If we let p = the number of pencils she purchased, then the number of pens she purchased = 5 - p.

We need to determine a value for p.

Statement One Alone:

Aaliyah spent less than 126 cents.

Thus we know that 18p + 27(5 - p) < 126. Let’s simplify this inequality:

18p + 135 - 27p < 126

-9p < -9

p > 1

We know that Aaliyah bought more than 1 pencil, however, we can’t determine the exact number of pencils she bought. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

Aaliyah purchased more than one pencil.

This is the same information that we gleaned from statement one. Since we can’t determine the number of pencils she bought based on statement one, statement two is also not sufficient to answer the question.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Aaliyah purchased 5 pencils and pens. If each pencil costs 18 cents an   [#permalink] 14 Apr 2017, 05:59
Display posts from previous: Sort by

Aaliyah purchased 5 pencils and pens. If each pencil costs 18 cents an

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


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®.