NEW HERE? LEARN MORE
close
It is currently 31 Jan 2023, 11:38
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

If a is an integer greater than 4 but less than 21 and b is an integer

7 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
avatar
S
HARRY113
Manager
Manager
Joined: 06 Aug 2015
Posts: 60
Concentration: General Management, Entrepreneurship
Schools: LBS '22 INSEAD Jan'21 Intake IMD '21 Cambridge '22 Said '22
GMAT Date: 10-30-2016
GRE 1: Q160 V135
GPA: 3.34
WE:Programming (Computer Software)
GMAT ToolKit User Reviews Badge
If a is an integer greater than 4 but less than 21 and b is an integer [#permalink] New post  12 Jul 2016, 23:32
3
Kudos
13
Bookmarks
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

68% (02:00) correct 32% (02:06) wrong based on 267 sessions

Hide Show timer Statistics

If a is an integer greater than 4 but less than 21 and b is an integer greater than 14 but less than 31, what is the range of a/b?

A. 2/3
B. 1/2
C. 5/6
D. 1
E. 7/6
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
Most Helpful Community Reply
avatar
B
Rushilkhera
Intern
Intern
Joined: 21 Dec 2015
Posts: 11
Schools: UFlorida '18 XLRI LBS '16 Kenan-Flagler '18 Kellogg '18 Tuck '19 Foster '19 Anderson '16 Mannheim"17 Rotman '15 Great Lakes '17 Northeastern '18 Weatherhead '18
Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink] New post  12 Jul 2016, 23:47
3
Kudos
6
Bookmarks
The way to approach this problem is 4<a<21 and 14<b<31

Minimum possible value of a is 5 and maximum is 20
Minimum possible value of b is 15 and maximum is 30

Range = max a/min b - min a/max b
(Highest - lowest)

20/15 - 5/30 = 7/6

Hence E
General Discussion
avatar
rudra316
Manager
Manager
Joined: 05 Jun 2015
Posts: 67
Location: United States
Schools: INSEAD Jan '17 ISB '17 NUS '18 HKUST '18
WE:Engineering (Transportation)
Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink] New post  12 Sep 2016, 23:26
Range of a/b = max(a/b) - min(a/b)
to get max(a/b) => max(a)/min(b) = 20/15
to get min(a/b) => min(a)/max(b) = 5/30

Range = 20/15 - 5/30
= 7/6
User avatar
B
sivaspurthy
Intern
Intern
Joined: 07 Nov 2012
Status:Pursuit of happyness
Posts: 19
Location: India
Concentration: General Management, Leadership
Schools: Stanford '18 INSEAD Jan '17 HBS '18
GMAT Date: 04-24-2013
WE:General Management (Energy and Utilities)
Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink] New post  28 Sep 2016, 09:55
hi
i think the question should be little more elaborate.....range of the set a/b is something that cannot be assumed from the question
avatar
S
KrishnakumarKA1
Senior Manager
Senior Manager
Joined: 05 Jan 2017
Posts: 448
Location: India
Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink] New post  01 Mar 2017, 02:04
Range will be maximum -minimum
= maximum of a/ minimum of b - minimum of a/ maximum of b
= 20/15 - 5/30
= 35/30 = 7/6. Option E
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 16878
Location: United States (CA)
Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink] New post  07 Oct 2019, 19:11
Expert Reply
HARRY113 wrote:
If a is an integer greater than 4 but less than 21 and b is an integer greater than 14 but less than 31, what is the range of a/b?

A. 2/3
B. 1/2
C. 5/6
D. 1
E. 7/6



A positive fraction is maximized when the numerator is as large as possible and the denominator is as small as possible. Thus, the maximum value of a/b is 20/15 = 4/3.

Similarly, a positive fraction is minimized when the numerator is as small as possible and the denominator is as large as possible; thus, the minimum value of a/b is 5/30 = 1/6.

Therefore, the range of values of a/b is 4/3 - 1/6 = 8/6 - 1/6 = 7/6.

Answer: E
_________________

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

Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 26441
Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink] New post  22 Nov 2022, 23:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink]
22 Nov 2022, 23:07
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10658 posts
Bunuel
Math Expert
88575 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3129 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions