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

It is currently 17 Feb 2019, 18:12

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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT Algebra Webinar

     February 17, 2019

     February 17, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
  • Valentine's day SALE is on! 25% off.

     February 18, 2019

     February 18, 2019

     10:00 PM PST

     11:00 PM PST

    We don’t care what your relationship status this year - we love you just the way you are. AND we want you to crush the GMAT!

Santa is packing 10 boxes into his sleigh. each box weighs either 20

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

Hide Tags

 
Intern
Intern
avatar
S
Joined: 24 Nov 2018
Posts: 15
Location: India
CAT Tests
Santa is packing 10 boxes into his sleigh. each box weighs either 20  [#permalink]

Show Tags

New post Updated on: 03 Jan 2019, 07:18
4
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

53% (02:38) correct 47% (02:27) wrong based on 77 sessions

HideShow timer Statistics

Santa is packing 10 boxes into his sleigh. each box weighs either 20 pounds or 30 pounds, and the average weight of all 10 boxes is 27 pounds. Because the sleigh is too heavy, Santa must reduce the average weight of the boxes in the sleigh to exactly 25 pounds by removing some of the 30-pound boxes. How many 30 pound boxes must Santa remove?

A) 1
B) 2
C) 3
D) 4
E) 5

Originally posted by divyadamahe on 03 Jan 2019, 07:11.
Last edited by Bunuel on 03 Jan 2019, 07:18, edited 2 times in total.
Renamed the topic and edited the question.
Senior PS Moderator
User avatar
D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 722
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: Santa is packing 10 boxes into his sleigh. each box weighs either 20  [#permalink]

Show Tags

New post 03 Jan 2019, 07:17
Please follow rules of posting - refer to point 1 in my signature.

divyadamahe wrote:
Santa is packing 10 boxes into his sleigh. each box weighs either 20 pounds or 30 pounds, and the average weight of all 10 boxes is 27 pounds. Because the sleigh is too heavy, Santa must reduce the average weight of the boxes in the sleigh to exactly 25 pounds by removing some of the 30-pound boxes. How many 30 pound boxes must Santa remove?

A)1
B)2
C)3
D)4
E)5

_________________

Regards,
Gladi



“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)

Manager
Manager
User avatar
P
Joined: 28 Jul 2016
Posts: 246
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
Re: Santa is packing 10 boxes into his sleigh. each box weighs either 20  [#permalink]

Show Tags

New post 03 Jan 2019, 09:42
current avg weight= 27
using alligation method:
there are 3 -20 pound boxes and 7- 30 pound boxes.
We have to remove 30 pound boxes to make avg as 25
hence
\((20*3 +30*(7-k))/10-k =25\)

where k is the number of boxes to remove
Solve for k .
answer =4
Hence D
_________________

Please give Kudos. Kudos encourage active discussions and help the community grow

Intern
Intern
avatar
B
Joined: 24 Dec 2018
Posts: 40
Location: India
Re: Santa is packing 10 boxes into his sleigh. each box weighs either 20  [#permalink]

Show Tags

New post 03 Jan 2019, 09:48
2
Let # of 30 pound boxes be x. Then # of 20 pound boxes will be 10-x.

Now we are given that average weight of these 10 boxes is 27 pounds. This can be expressed as:
30x+20(10-x)=270
=> 30x+200-20x=270
=> x=7

Thus # of 30 pound boxes is 7 and similarly, # of 20 pound boxes is 10-7=3

We are also given that a few of the 30 pound boxes are being removed so that average weight can be reduced to 25. Let # of boxes removed by a
Thus, 20*3+30(7-a)=25*(10-a)
=> 60+210-30a=250-25a
=> 270-250=30-25a
=> 20=5a
=> a=4

Thus option is D
_________________

Hit Kudos if you like my answer!

Director
Director
avatar
G
Joined: 09 Mar 2018
Posts: 960
Location: India
Re: Santa is packing 10 boxes into his sleigh. each box weighs either 20  [#permalink]

Show Tags

New post 01 Feb 2019, 22:26
divyadamahe wrote:
Santa is packing 10 boxes into his sleigh. each box weighs either 20 pounds or 30 pounds, and the average weight of all 10 boxes is 27 pounds. Because the sleigh is too heavy, Santa must reduce the average weight of the boxes in the sleigh to exactly 25 pounds by removing some of the 30-pound boxes. How many 30 pound boxes must Santa remove?

A) 1
B) 2
C) 3
D) 4
E) 5


I used allegation method here

10 boxes, each box weighs either 20 pounds or 30 pounds

20---------------30
--------27---------
3-----------------7

3:7 is the ratio in which the boxes will be divided into and since they are 10 boxes

3, 20 lbs boxes and 7, 30 lbs boxes will be present

20---------------30
--------25---------
5-----------------5

1:1, is the ratio in which the boxes will be divided into

(i didn't read this part when i had initially solved the question)
Santa

must reduce the average weight of the boxes in the sleigh to exactly 25 pounds

by removing some of the 30-pound boxes.

That meant that the current ratio will be 3:3

Initial boxes
20---------------30
--------27---------
3-----------------7

Current boxes
20-----------30
3-------------3

Reduction of 30 lbs boxes will be 7-3 = 4

Answer D
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

GMAT Club Bot
Re: Santa is packing 10 boxes into his sleigh. each box weighs either 20   [#permalink] 01 Feb 2019, 22:26
Display posts from previous: Sort by

Santa is packing 10 boxes into his sleigh. each box weighs either 20

  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®.