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

It is currently 24 Jun 2018, 07:43

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If k and w are the dimensions of a rectangle that has area..

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

Hide Tags

SVP
SVP
User avatar
Joined: 06 Sep 2013
Posts: 1881
Concentration: Finance
GMAT ToolKit User
If k and w are the dimensions of a rectangle that has area.. [#permalink]

Show Tags

New post 17 Sep 2013, 08:46
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

69% (00:59) correct 31% (00:52) wrong based on 154 sessions

HideShow timer Statistics

If k and w are the dimensions of a rectangle that has area 42, and if k and w are integers such that k > w, what is the total number of possible values of k?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46307
Re: If k and w are the dimensions of a rectangle that has area.. [#permalink]

Show Tags

New post 17 Sep 2013, 08:49
jlgdr wrote:
If k and w are the dimensions of a rectangle that has area 42, and if k and w are integers such that k > w, what is the total number of possible values of k?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six


kw=42=42*1=21*2=14*3=7*6 --> k can take 4 values, namely: 7, 14, 21, and 42.

Answer: C.
_________________

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

Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 598
Schools: Cambridge'16
If k and w are the dimensions of a rectangle that has area.. [#permalink]

Show Tags

New post 01 Mar 2015, 22:04
Prime factorization

42=2*7*3

so, total number of distinct factors is (1+1)*(1+1)*(1+1)=8

k can have half of it, so 4

C
Manager
Manager
User avatar
B
Joined: 20 Apr 2013
Posts: 149
Re: If k and w are the dimensions of a rectangle that has area.. [#permalink]

Show Tags

New post 01 Mar 2015, 23:43
Following rectangles are possible:

1 42
2 21
3 14
6 7
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2729
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: If k and w are the dimensions of a rectangle that has area.. [#permalink]

Show Tags

New post 26 May 2017, 15:20
k>w
both integers, we have the below situations:
w=1 => k=42
w=2 => k=21
w=3 => k=14
w=6 => k=7

other options will not be k>w - therefore, we have 4 options for k
Intern
Intern
avatar
B
Joined: 24 Nov 2016
Posts: 32
GMAT ToolKit User CAT Tests
Re: If k and w are the dimensions of a rectangle that has area.. [#permalink]

Show Tags

New post 14 Jan 2018, 06:22
as we know that k>w we need to find the factors of 42 that are true considering the given information:

42 =

42 x 1
21 x 2
14 x 3
7 x 6

So k could be 42, 21, 14 and 7

Answer is C
Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3511
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If k and w are the dimensions of a rectangle that has area.. [#permalink]

Show Tags

New post 14 Jan 2018, 08:55
jlgdr wrote:
If k and w are the dimensions of a rectangle that has area 42, and if k and w are integers such that k > w, what is the total number of possible values of k?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six

Possible values are -
Attachment:
Capture.PNG
Capture.PNG [ 1.93 KiB | Viewed 276 times ]
Answer will be (B)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: If k and w are the dimensions of a rectangle that has area..   [#permalink] 14 Jan 2018, 08:55
Display posts from previous: Sort by

If k and w are the dimensions of a rectangle that has area..

  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®.