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

It is currently 14 Nov 2018, 05:29

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • Free GMAT Strategy Webinar

     November 17, 2018

     November 17, 2018

     07:00 AM PST

     09:00 AM PST

    Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

The inside of a rectangular carton is 90 centimeters long, 45 centimet

  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: 50580
The inside of a rectangular carton is 90 centimeters long, 45 centimet  [#permalink]

Show Tags

New post 14 Sep 2018, 01:03
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

38% (01:35) correct 62% (01:24) wrong based on 34 sessions

HideShow timer Statistics

The inside of a rectangular carton is 90 centimeters long, 45 centimeters wide, and k centimeters high. The carton is filled to capacity with 200 identical cylindrical cans of fruit that stand upright in rows and columns. If the cans are 10 centimeters high, what is minimum value of k?

(1) The box fits 4 layers of cans.
(2) The radius of each can is 4.5 centimeters.

_________________

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
S
Joined: 23 Aug 2016
Posts: 95
Location: India
Concentration: Finance, Strategy
GMAT 1: 660 Q49 V31
GPA: 2.84
WE: Other (Energy and Utilities)
Reviews Badge
Re: The inside of a rectangular carton is 90 centimeters long, 45 centimet  [#permalink]

Show Tags

New post 15 Sep 2018, 00:43
Excellent question!

Answer is D.

1.if box fits 4 layers of cans that means height shud be 4 times height of a can i.e. 40 cms.
Sufficient.
2.radius of can =4.5 dia=9 cm
Therefore in area of carton 90*45 cm.
No. Of cans will be 10*5 i.e on bottom most tier 50 cans can be kept.
For 200 cans, we need 4 layers therefore.

4 times height of can =40 cms.

Sufficient.

Consider giving kudos if this helped !

Posted from my mobile device
_________________

Thanks and Regards,

Honneeey.

In former years,Used to run for "Likes", nowadays, craving for "Kudos". :D

Intern
Intern
avatar
B
Status: Rise above
Joined: 20 Feb 2017
Posts: 44
Location: India
Schools: ESSEC '22
GMAT 1: 650 Q47 V34
GPA: 3
WE: Editorial and Writing (Entertainment and Sports)
Re: The inside of a rectangular carton is 90 centimeters long, 45 centimet  [#permalink]

Show Tags

New post 16 Sep 2018, 08:32
Can somebody explain how statement 2 is also sufficient? I thought the answer should be A.
Manager
Manager
avatar
S
Joined: 23 Aug 2016
Posts: 95
Location: India
Concentration: Finance, Strategy
GMAT 1: 660 Q49 V31
GPA: 2.84
WE: Other (Energy and Utilities)
Reviews Badge
Re: The inside of a rectangular carton is 90 centimeters long, 45 centimet  [#permalink]

Show Tags

New post 16 Sep 2018, 08:47
1
nithinjohn wrote:
Can somebody explain how statement 2 is also sufficient? I thought the answer should be A.


Hi,

Radius of each can=4.5 cm therefore dia=9 cms.
Now, see that the rectangular box has base area as 90 cm X 45 cm therefore i can put(along its breadth i.e. 45 cms) 5 cans and i can put (along its length i.e. 90 cms) 10 cans.

So the number of cans at the base will be 10 X 5= 50 cans.

Now, we need to keep 200 cans.

Therefore, at base we can keep=50 cans, we need=200/50=4 stacks to keep all the cans in the rectangular box.

Hence the Statement 2 is also sufficient.

I hope it was clear :)
_________________

Thanks and Regards,

Honneeey.

In former years,Used to run for "Likes", nowadays, craving for "Kudos". :D

Intern
Intern
avatar
B
Status: Rise above
Joined: 20 Feb 2017
Posts: 44
Location: India
Schools: ESSEC '22
GMAT 1: 650 Q47 V34
GPA: 3
WE: Editorial and Writing (Entertainment and Sports)
Re: The inside of a rectangular carton is 90 centimeters long, 45 centimet  [#permalink]

Show Tags

New post 16 Sep 2018, 10:09
Ah okay I got it now, makes sense. Thanks for that :)
GMAT Club Bot
Re: The inside of a rectangular carton is 90 centimeters long, 45 centimet &nbs [#permalink] 16 Sep 2018, 10:09
Display posts from previous: Sort by

The inside of a rectangular carton is 90 centimeters long, 45 centimet

  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®.