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

 It is currently 18 Dec 2018, 09:18

### 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

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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Happy Christmas 20% Sale! Math Revolution All-In-One Products!

December 20, 2018

December 20, 2018

10:00 PM PST

11:00 PM PST

This is the most inexpensive and attractive price in the market. Get the course now!
• ### Key Strategies to Master GMAT SC

December 22, 2018

December 22, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# a is an integer greater than 19 but less than 31, b is an integer grea

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6661
GMAT 1: 760 Q51 V42
GPA: 3.82
a is an integer greater than 19 but less than 31, b is an integer grea  [#permalink]

### Show Tags

12 Jul 2016, 18:04
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:35) correct 28% (01:21) wrong based on 82 sessions

### HideShow timer Statistics

a is an integer greater than 19 but less than 31, b is an integer greater than 29 but less than 41, what is the range of a/b?
A. 1/4
B. 1/2
C. 3/4
D. 1
E. 5/4

*An answer will be posted in 2 days

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Manager Joined: 22 Jun 2016 Posts: 245 Re: a is an integer greater than 19 but less than 31, b is an integer grea [#permalink] ### Show Tags 12 Jul 2016, 22:32 min value of a/b will be when b is highest and a is lowest ---> a=20 and b=40 So, a/b = 1/2 max value of a/b will be when b is lowest and a is highest ---> a=30 and b=30 So, a/b = 1 Range is 1-(1/2) = 1/2. Answer should be B. ---------------------------------------- P.S. Don't forget to give Kudos _________________ P.S. Don't forget to give Kudos Director Joined: 20 Feb 2015 Posts: 795 Concentration: Strategy, General Management Re: a is an integer greater than 19 but less than 31, b is an integer grea [#permalink] ### Show Tags 12 Jul 2016, 22:34 the lowest value a can take = 20 = min(a) the highest = 30 = max(a) lowest b can take = 30 = min(b) highest = 40 = max(b) lowest value of a/b= min(a)/max(b) = 20/40=1/2 highest value of a/b=max(a)/min(b)=30/30=1 range = highest-lowest=1/2 Manager Status: In the realms of Chaos & Night Joined: 13 Sep 2015 Posts: 152 Re: a is an integer greater than 19 but less than 31, b is an integer grea [#permalink] ### Show Tags 13 Jul 2016, 01:40 MathRevolution wrote: a is an integer greater than 19 but less than 31, b is an integer greater than 29 but less than 41, what is the range of a/b? A. 1/4 B. 1/2 C. 3/4 D. 1 E. 5/4 *An answer will be posted in 2 days Range 1) with lowest denominator @ b=30 Numerator a Varies from a=30 => 20/30=> 0.66 to a = 30 => 30/30 => 1 Range 2) with denominator @ b=40 Numerator a Varies from a=20 => 20/40 =>0.5 to a = 30 =>30/40 => 0.75 The lowest and the highest possibilities of a/b is 1 - $$\frac{1}{2}$$ = $$\frac{1}{2}$$ _________________ Good luck ========================================================================================= "If a street performer makes you stop walking, you owe him a buck" "If this post helps you on your GMAT journey, drop a +1 Kudo " "Thursdays with Ron - Consolidated Verbal Master List - Updated" Current Student Joined: 18 Oct 2014 Posts: 845 Location: United States GMAT 1: 660 Q49 V31 GPA: 3.98 Re: a is an integer greater than 19 but less than 31, b is an integer grea [#permalink] ### Show Tags 13 Jul 2016, 04:10 MathRevolution wrote: a is an integer greater than 19 but less than 31, b is an integer greater than 29 but less than 41, what is the range of a/b? A. 1/4 B. 1/2 C. 3/4 D. 1 E. 5/4 *An answer will be posted in 2 days 31>a>19 41>b>29 Range= Maximum value- minimum value Maximum value of a/b is when a is Max and b is min= 30/30= 1 Minimum value of a/b is when a is min and b is max= 20/40= 1/2 Range= 1-1/2= 1/2 B is the answer _________________ I welcome critical analysis of my post!! That will help me reach 700+ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6661 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: a is an integer greater than 19 but less than 31, b is an integer grea [#permalink] ### Show Tags 14 Jul 2016, 20:14 From 20≤a≤30 and 30≤b≤40, we get 1/2=20/40≤a/b≤30/30=1. Hence, range=Max-min=1-1/2=1/2 and the correct answer is B. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Non-Human User
Joined: 09 Sep 2013
Posts: 9206
Re: a is an integer greater than 19 but less than 31, b is an integer grea  [#permalink]

### Show Tags

21 Feb 2018, 07:07
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.
_________________
Re: a is an integer greater than 19 but less than 31, b is an integer grea &nbs [#permalink] 21 Feb 2018, 07:07
Display posts from previous: Sort by