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

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Math Revolution GMAT Instructor
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a is an integer greater than 19 but less than 31, b is an integer grea  [#permalink]

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12 Jul 2016, 19:04
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:35) correct 31% (01:28) wrong based on 88 sessions

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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

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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Current Student Joined: 22 Jun 2016 Posts: 230 Re: a is an integer greater than 19 but less than 31, b is an integer grea [#permalink] ### Show Tags 12 Jul 2016, 23:32 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: 764 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, 23:34 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: 147 Re: a is an integer greater than 19 but less than 31, b is an integer grea [#permalink] ### Show Tags 13 Jul 2016, 02:40 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: 803 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, 05:10 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: 8009 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, 21:14 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$79 for 1 month Online Course"
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Re: a is an integer greater than 19 but less than 31, b is an integer grea  [#permalink]

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21 Feb 2018, 08:07
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Re: a is an integer greater than 19 but less than 31, b is an integer grea   [#permalink] 21 Feb 2018, 08:07
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