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

It is currently 25 Sep 2018, 16:43

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

A certain floor of an office building has 1,200 square feet of floor

  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: 49496
A certain floor of an office building has 1,200 square feet of floor  [#permalink]

Show Tags

New post 30 Aug 2015, 11:04
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

30% (02:57) correct 70% (03:20) wrong based on 157 sessions

HideShow timer Statistics

A certain floor of an office building has 1,200 square feet of floor area allocated to 2 equally sized conference rooms and 6 rectangular offices. If no office can be larger than a conference room, does each conference room have a floor area of less than 200 square feet?

(1) Each conference room must have a smaller area than the combined areas of any three offices and a larger area than the combined areas of any two offices.
(2) The four walls of each office have a combined length of less than 46 feet.

Kudos for a correct solution.

_________________

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

Most Helpful Community Reply
Jamboree GMAT Instructor
User avatar
Status: GMAT Expert
Affiliations: Jamboree Education Pvt Ltd
Joined: 15 Jul 2015
Posts: 272
Location: India
Re: A certain floor of an office building has 1,200 square feet of floor  [#permalink]

Show Tags

New post 31 Aug 2015, 03:48
5
1
Answer : D

Is C<200?

Area of each conference room = C

Area of each rectangular office (considering "Equal") = R

C>R

2C + 6R = 1200

S1 -

C>2R

Even if we take C= 2R, R= 120 , Since we know C>2R, then C>240. Sufficient.

S2-

2 (l+b) < 46

l+b<23

Maximum value could be l=12 , b=11

so, lb= 132 (maximum area of the rectangle)

2C+6*132=1200

C=204 (>200)

Sufficient.
_________________

Aryama Dutta Saikia
Jamboree Education Pvt. Ltd.

General Discussion
SVP
SVP
avatar
P
Joined: 12 Dec 2016
Posts: 1782
Location: United States
GMAT 1: 700 Q49 V33
GPA: 3.64
GMAT ToolKit User Premium Member
Re: A certain floor of an office building has 1,200 square feet of floor  [#permalink]

Show Tags

New post 19 Jul 2017, 01:18
this quantitative problem is not too hard for a normal student, but it takes time to solve the problem. There are unfamiliar steps to find the solution in this question. Lesson: keep practicing!
Manager
Manager
User avatar
S
Joined: 10 Apr 2015
Posts: 195
GPA: 3.31
Re: A certain floor of an office building has 1,200 square feet of floor  [#permalink]

Show Tags

New post 19 Jul 2017, 21:08
AryamaDuttaSaikia wrote:
Answer : D

Is C<200?

Area of each conference room = C

Area of each rectangular office (considering "Equal") = R

C>R

2C + 6R = 1200

S1 -

C>2R

Even if we take C= 2R, R= 120 , Since we know C>2R, then C>240. Sufficient.

S2-

2 (l+b) < 46

l+b<23

Maximum value could be l=12 , b=11

so, lb= 132 (maximum area of the rectangle)

2C+6*132=1200

C=204 (>200)

Sufficient.


It does not mention there are 6 equal offices. Please assist on the same.
_________________

In case you find my posts helpful, give me Kudos. Thank you.

Manager
Manager
avatar
B
Joined: 11 Jun 2014
Posts: 123
Location: India
GMAT 1: 670 Q47 V35
GPA: 3.4
Reviews Badge
Re: A certain floor of an office building has 1,200 square feet of floor  [#permalink]

Show Tags

New post 20 Jul 2017, 02:08
I agree. The wording should have made 2 things clear:

1) All offices have the same area
2) the perimeter of each room (instead of using the word length) is less than 46 or worded the prompt as the insides of the room measured or something to that tune.

Request Bunuel to kindly look into this.

Best,
SS18


shekyonline wrote:
AryamaDuttaSaikia wrote:
Answer : D

Is C<200?

Area of each conference room = C

Area of each rectangular office (considering "Equal") = R

C>R

2C + 6R = 1200

S1 -

C>2R

Even if we take C= 2R, R= 120 , Since we know C>2R, then C>240. Sufficient.

S2-

2 (l+b) < 46

l+b<23

Maximum value could be l=12 , b=11

so, lb= 132 (maximum area of the rectangle)

2C+6*132=1200

C=204 (>200)

Sufficient.


It does not mention there are 6 equal offices. Please assist on the same.
Intern
Intern
avatar
B
Joined: 18 Aug 2017
Posts: 3
CAT Tests
Re: A certain floor of an office building has 1,200 square feet of floor  [#permalink]

Show Tags

New post 22 Aug 2018, 04:23
AryamaDuttaSaikia wrote:
Answer : D

Is C<200?

Area of each conference room = C

Area of each rectangular office (considering "Equal") = R

C>R

2C + 6R = 1200

S1 -

C>2R

Even if we take C= 2R, R= 120 , Since we know C>2R, then C>240. Sufficient.

S2-

2 (l+b) < 46

l+b<23

Maximum value could be l=12 , b=11

so, lb= 132 (maximum area of the rectangle)

2C+6*132=1200

C=204 (>200)

Sufficient.

statement 2: fixes the perimeter= 46= 2(L + B) which means L + B= 23, however it doesn't mention that the sides have to be integers. as you have taken values 12,11 , to prove that C > 200, there can also be values like 12.9,10.1 which gives area of office 140.61=R and area of conference room=178.17=C<200 ,thus making statement 2 insufficient
GMAT Club Bot
Re: A certain floor of an office building has 1,200 square feet of floor &nbs [#permalink] 22 Aug 2018, 04:23
Display posts from previous: Sort by

A certain floor of an office building has 1,200 square feet of floor

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


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®.