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

It is currently 20 Sep 2018, 02:34

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

John, Karen, and Luke collected cans of vegetables for a food drive.

  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: 49270
John, Karen, and Luke collected cans of vegetables for a food drive.  [#permalink]

Show Tags

New post 15 Mar 2016, 23:46
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (01:05) correct 22% (01:25) wrong based on 69 sessions

HideShow timer Statistics

John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was 1/2 the number of cans that Karen collected and 1/3 the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Karen, and Luke collected?

(A) 1/5
(B) 1/3
(C) 2/5
(D) 1/2
(E) 2/3

_________________

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

SC Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1706
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User Premium Member CAT Tests
Re: John, Karen, and Luke collected cans of vegetables for a food drive.  [#permalink]

Show Tags

New post 17 Mar 2016, 07:44
1
John = (1/2)Karen --> Karen = 2(John)
John = 3(Luke) --> Luke = 3(John)

Total = 6(John)

Luke/Total = 3/6 = 1/2

Answer: D
DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1343
Location: India
Premium Member
Re: John, Karen, and Luke collected cans of vegetables for a food drive.  [#permalink]

Show Tags

New post 20 May 2017, 11:19
Assume number of cans John collected = 1
Then, number of cans Karen collected = 2
and number of cans Luke collected = 3

Total = 1+2+3=6

Cans with Luke as a fraction of total = 3/6 = 1/2

Hence D
Director
Director
User avatar
D
Joined: 04 Dec 2015
Posts: 701
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
John, Karen, and Luke collected cans of vegetables for a food drive.  [#permalink]

Show Tags

New post 20 May 2017, 12:48
John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was 1/2 the number of cans that Karen collected and 1/3 the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Karen, and Luke collected?

Let cans collected by John be X.
John collected \(\frac{1}{2}\) of the number of cans that Karen collected, ie; Karen's cans = 2X
John collected \(\frac{1}{3}\) of the number of cans that Luke collected, ie; Luke's cans = 3X
Total number of cans collected by Luke, John and Karen = X + 2X + 3X = 6X
Required fraction = Luke's cans/Total cans = \(\frac{3X}{6X}\) = \(\frac{1}{2}\)
Answer D...

_________________
Kindly press "+1 Kudos" to appreciate :)
BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3131
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: John, Karen, and Luke collected cans of vegetables for a food drive.  [#permalink]

Show Tags

New post 20 May 2017, 12:53
The best way is to find assume numbers and do the following problem

Given, number of cans of John was half the cans that Karen collected.
This number is also 1/3rd of the cans that Luke collection.
If 10 is the number of cans that John, collected.
Karen collected 20 cans and Luke, 30 cans.

Luke collected 30 out of total cans(10+20+30), which is 30/60 or 1/2(Option D)
_________________

You've got what it takes, but it will take everything you've got

Re: John, Karen, and Luke collected cans of vegetables for a food drive. &nbs [#permalink] 20 May 2017, 12:53
Display posts from previous: Sort by

John, Karen, and Luke collected cans of vegetables for a food drive.

  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®.