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

 It is currently 15 Oct 2019, 21:40

### 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

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

# Eggs are sold in packages of six or eleven only. If Doris bought 70 eg

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58347
Eggs are sold in packages of six or eleven only. If Doris bought 70 eg  [#permalink]

### Show Tags

05 Jul 2016, 12:27
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:26) correct 20% (01:18) wrong based on 70 sessions

### HideShow timer Statistics

Eggs are sold in packages of six or eleven only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?

A. 6.
B. 2.
C. 3.
D. 5.
E. 4.

_________________
Manager
Status: In the realms of Chaos & Night
Joined: 13 Sep 2015
Posts: 147
Re: Eggs are sold in packages of six or eleven only. If Doris bought 70 eg  [#permalink]

### Show Tags

05 Jul 2016, 12:54
No strategy involved. Simple question demanding fast calculation.

11x2 = 22 => 70-22=48 => 48/6 is an integer
Ans B. 2.

Good luck
=========================================================================================
"If a street performer makes you stop walking, you owe him a buck"
"If this post helps you on your GMAT journey, drop a +1 Kudo "

_________________
Good luck
=======================================================
"If a street performer makes you stop walking, you owe him a buck"
"If this post helps you on your GMAT journey, drop a +1 Kudo "

"Thursdays with Ron - Consolidated Verbal Master List - Updated"
Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2402
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
Re: Eggs are sold in packages of six or eleven only. If Doris bought 70 eg  [#permalink]

### Show Tags

05 Jul 2016, 21:20
Bunuel wrote:
Eggs are sold in packages of six or eleven only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?

A. 6.
B. 2.
C. 3.
D. 5.
E. 4.

Let number of packs of six = s
let number of packs of eleven = e
6s + 11e = 70
Now , we need to test for values of e .
Since sum 70 is even and 6s will always be even , e can't be odd .
Now , we can test for values e = 2 , 4 and 6
11*2 + 6*8 = 22 + 48 = 70
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
Senior Manager
Joined: 02 Mar 2012
Posts: 274
Schools: Schulich '16
Re: Eggs are sold in packages of six or eleven only. If Doris bought 70 eg  [#permalink]

### Show Tags

05 Jul 2016, 22:26
2

6x+11y=70

we need to find y in above equation => y=70-6x/11

only value for x where y is integer is x=8.
Current Student
Joined: 18 Oct 2014
Posts: 807
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
Re: Eggs are sold in packages of six or eleven only. If Doris bought 70 eg  [#permalink]

### Show Tags

06 Jul 2016, 06:31
Bunuel wrote:
Eggs are sold in packages of six or eleven only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?

A. 6.
B. 2.
C. 3.
D. 5.
E. 4.

Number os large packs must be even so that when even number is subtracted from 70, we get an even number (even number is needed to be divided by 6). C and D are out.

Let's check option B.

If he has 2 packs of large eggs, i.e. 22 eggs, then he has 70-22= 48 eggs, which is a multiple of 6.

_________________
I welcome critical analysis of my post!! That will help me reach 700+
Current Student
Joined: 22 Sep 2016
Posts: 160
Location: India
GMAT 1: 710 Q50 V35
GPA: 4
Re: Eggs are sold in packages of six or eleven only. If Doris bought 70 eg  [#permalink]

### Show Tags

28 Jun 2017, 08:50
Bunuel wrote:
Eggs are sold in packages of six or eleven only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?

A. 6.
B. 2.
C. 3.
D. 5.
E. 4.

Hey Bunuel could you please provide a more logical approach. I know, you're the expert.
_________________
Desperately need 'KUDOS' !!
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3344
Location: India
GPA: 3.12
Eggs are sold in packages of six or eleven only. If Doris bought 70 eg  [#permalink]

### Show Tags

28 Jun 2017, 09:56
If x is the number of six egg packages
If y is the number of eleven egg packages
6x + 11y = 70(from question stem)

The only number, which will give 70 is when x=8 and y=2.

If you use y(to be any of the other answer options i.e. 3,4,5,6)
it is not possible to get an integer value for x.

Hope that helps!
_________________
You've got what it takes, but it will take everything you've got
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8069
Location: United States (CA)
Re: Eggs are sold in packages of six or eleven only. If Doris bought 70 eg  [#permalink]

### Show Tags

30 Jun 2017, 09:25
Bunuel wrote:
Eggs are sold in packages of six or eleven only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?

A. 6.
B. 2.
C. 3.
D. 5.
E. 4.

We can let x = the number of large packs and y = the number of small packs; thus:

11x + 6y = 70

6y = 70 - 11x

y = (70 - 11x)/6

We see that 6 must evenly divide (70 - 11x). Thus, of our answer choices, x could be 2.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: Eggs are sold in packages of six or eleven only. If Doris bought 70 eg   [#permalink] 30 Jun 2017, 09:25
Display posts from previous: Sort by