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

It is currently 21 Jan 2019, 18:16

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

     January 21, 2019

     January 21, 2019

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

Randall purchased a shirt for $19.44 using a $20 bill. If his correct

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52344
Randall purchased a shirt for $19.44 using a $20 bill. If his correct  [#permalink]

Show Tags

New post 08 Jun 2018, 23:13
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

67% (02:08) correct 33% (01:27) wrong based on 34 sessions

HideShow timer Statistics

Randall purchased a shirt for $19.44 using a $20 bill. If his correct change was returned in only dimes ($0.10) and pennies ($0.01), how many coins could Randall have received?

(A) 9
(B) 21
(C) 29
(D) 37
(E) 44

_________________

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

Manager
Manager
avatar
B
Joined: 11 Apr 2018
Posts: 120
Location: India
GPA: 4
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: Randall purchased a shirt for $19.44 using a $20 bill. If his correct  [#permalink]

Show Tags

New post 09 Jun 2018, 00:20
Amount to be retuned = $0.56 = 56 Cents.
1 Dime = $0.10 = 10 Cents.
1 Penny = $0.01 = 1 Cent.
Consider X Dimes and Y Pennies are given back. Then, equation can be formed as 10X + 1Y = 56.
Possible values of (X,Y) pairs are (0,56 ), (1,46), (2,36), (3,26), (4,16), (5,6).
So, number of coins received could be 56, 47, 38, 29, 20, 11.
Only 29 is among the options. So, C is the correct answer.
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2726
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: Randall purchased a shirt for $19.44 using a $20 bill. If his correct  [#permalink]

Show Tags

New post 09 Jun 2018, 00:22
1
Bunuel wrote:
Randall purchased a shirt for $19.44 using a $20 bill. If his correct change was returned in only dimes ($0.10) and pennies ($0.01), how many coins could Randall have received?

(A) 9
(B) 21
(C) 29
(D) 37
(E) 44


His return = 20 - 19.44 = $0.56

now 0.1 x + 0.01 y = 0.56

i.e. 10x + y = 56

i.e. (x, y) = (5, 6) or (4, 16) or (3, 26) etc.

i.e. x+y = 11 or 20 or 29

Answer: Option C
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Intern
Intern
avatar
B
Joined: 27 Apr 2015
Posts: 4
Location: Singapore
Concentration: General Management, Strategy
GMAT 1: 620 Q47 V28
GPA: 3.32
Re: Randall purchased a shirt for $19.44 using a $20 bill. If his correct  [#permalink]

Show Tags

New post 09 Jun 2018, 06:41
Change due = $ 0.56

If A denotes every $0.10 and B denotes every $0.01, then

Possible combinations using (A) $0.10 and (B) $0.01 are as follows:

1A + 46B --> total 47 coins
2A + 36B --> total 38 coins
3A + 26B --> total 29 coins --> Correct answer!
Director
Director
User avatar
P
Joined: 14 Dec 2017
Posts: 524
Location: India
Premium Member
Re: Randall purchased a shirt for $19.44 using a $20 bill. If his correct  [#permalink]

Show Tags

New post 09 Jun 2018, 07:38
Bunuel wrote:
Randall purchased a shirt for $19.44 using a $20 bill. If his correct change was returned in only dimes ($0.10) and pennies ($0.01), how many coins could Randall have received?

(A) 9
(B) 21
(C) 29
(D) 37
(E) 44


Randall received a change of $0.56.

Let \(d\) be the # of dimes & \(p\) be the # of pennies Randall got in return.

Hence we have, \(0.10d + 0.01p = 0.56\)

Multiplying by 100 on both sides, we get

\(10d + p = 56\), hence (d,p), that satisfy the equation are (1,46), (2,36), (3,26), (4,16), (5,6)

# of coins received by Randall can be 47 or 38 or 29 or 20 or 11.

Answer C.

Thanks,
GyM
_________________

New to GMAT Club - https://gmatclub.com/forum/new-to-gmat-club-need-help-271131.html#p2098335

Intern
Intern
avatar
B
Joined: 15 Feb 2018
Posts: 6
Re: Randall purchased a shirt for $19.44 using a $20 bill. If his correct  [#permalink]

Show Tags

New post 09 Jun 2018, 15:42
D + P = Total Coins
5 + 6 = 9
4 + 16 = 20
3 + 26 = 29 Only Direct Hit on the options

2 + 36 = 37
1 + 46 = 47
0 + 56 = 56
GMAT Club Bot
Re: Randall purchased a shirt for $19.44 using a $20 bill. If his correct &nbs [#permalink] 09 Jun 2018, 15:42
Display posts from previous: Sort by

Randall purchased a shirt for $19.44 using a $20 bill. If his correct

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


Copyright

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®.