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

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Intern
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Joined: 06 Aug 2015
Posts: 47
Concentration: General Management, Entrepreneurship
GMAT Date: 10-30-2016
GPA: 3.34
WE: Programming (Consulting)
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If a is an integer greater than 4 but less than 21 and b is an integer [#permalink]

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New post 13 Jul 2016, 00:32
2
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:30) correct 33% (01:34) wrong based on 103 sessions

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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
Intern
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Joined: 21 Dec 2015
Posts: 12
Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink]

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New post 13 Jul 2016, 00:47
3
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
Manager
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Joined: 05 Jun 2015
Posts: 84
Location: United States
WE: Engineering (Transportation)
Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink]

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New post 13 Sep 2016, 00:26
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
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Status: Pursuit of happyness
Joined: 07 Nov 2012
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Location: India
Concentration: General Management, Leadership
GMAT Date: 04-24-2013
WE: General Management (Energy and Utilities)
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Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink]

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New post 28 Sep 2016, 10:55
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
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Re: If a is an integer greater than 4 but less than 21 and b is an integer [#permalink]

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New post 01 Mar 2017, 03:04
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
Re: If a is an integer greater than 4 but less than 21 and b is an integer   [#permalink] 01 Mar 2017, 03:04
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If a is an integer greater than 4 but less than 21 and b is an integer

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