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

It is currently 19 Jun 2018, 07:45

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

Sean and George collect two kinds of kernels: apricot kernels and mang

  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: 46164
Sean and George collect two kinds of kernels: apricot kernels and mang [#permalink]

Show Tags

New post 05 Sep 2016, 08:22
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

62% (02:12) correct 38% (01:54) wrong based on 79 sessions

HideShow timer Statistics

Sean and George collect two kinds of kernels: apricot kernels and mango kernels. If George has 4 apricot kernels, and together they have a total of 40 kernels (of both kinds,) then how many of these 40 kernels are mango kernels?

(1) The number of apricot kernels that Sean has is half the total number of mango kernels they have together.

(2) Sean has three times as many kernels as George has.

_________________

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

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 23 Apr 2015
Posts: 322
Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: Sean and George collect two kinds of kernels: apricot kernels and mang [#permalink]

Show Tags

New post 05 Sep 2016, 10:03
1
Bunuel wrote:
Sean and George collect two kinds of kernels: apricot kernels and mango kernels. If George has 4 apricot kernels, and together they have a total of 40 kernels (of both kinds,) then how many of these 40 kernels are mango kernels?

(1) The number of apricot kernels that Sean has is half the total number of mango kernels they have together.

(2) Sean has three times as many kernels as George has.



It's easier if represented in a table format:
Given Image

Consider 1)Image
This gives the value of \(a\) and hence the number of mango kernels. Sufficient . Select A and D.

Consider 2)Image
Solving for \(b\) gives the number of mango kernels of george, but not for sean. Sean can have only mango kernels or no mango kernels.
Not Sufficient.

Answer is A.
Attachments

2.PNG
2.PNG [ 4.69 KiB | Viewed 1005 times ]

1.PNG
1.PNG [ 4.63 KiB | Viewed 1004 times ]

given.PNG
given.PNG [ 4.49 KiB | Viewed 1006 times ]

Expert Post
examPAL Representative
User avatar
S
Joined: 07 Dec 2017
Posts: 417
Re: Sean and George collect two kinds of kernels: apricot kernels and mang [#permalink]

Show Tags

New post 10 Mar 2018, 11:05
Bunuel wrote:
Sean and George collect two kinds of kernels: apricot kernels and mango kernels. If George has 4 apricot kernels, and together they have a total of 40 kernels (of both kinds,) then how many of these 40 kernels are mango kernels?

(1) The number of apricot kernels that Sean has is half the total number of mango kernels they have together.

(2) Sean has three times as many kernels as George has.


We'll translate the question stem into equations so we know what we need to do.
This is a Precise approach.

We'll write Ga, Gm for George's kernels and Sa,Sm for Sean's.
We're told that Ga = 4 and that Ga+Gm+Sa+Sm = 40 meaning that Gm+Sa+Sm=36.
We need to find out Gm+Sm

(1) tells us that 2Sa = Gm+Sm
Substituting into the above gives 3Sa = 36 so Sa = 12. Then Gm+Sm = 24.
Sufficient.

(2) tells us that Sa+Sm = 3(Ga+Gm)
Substituting gives us Gm + 3(Ga+Gm) = 36 which we cannot solve.
Insufficient.

(A) is our answer.
_________________

David
Senior tutor at examPAL
Signup for a free GMAT course
Image
Image
We won some awards:
Image
Join our next webinar (free)
Save up to $250 on examPAL packages (special for GMAT Club members)

Re: Sean and George collect two kinds of kernels: apricot kernels and mang   [#permalink] 10 Mar 2018, 11:05
Display posts from previous: Sort by

Sean and George collect two kinds of kernels: apricot kernels and mang

  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®.