If a is an integer greater than 4 but less than 21 and b is an integer : Problem Solving (PS)

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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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If a is an integer greater than 4 but less than 21 and b is an integer [#permalink]

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12 Jul 2016, 23:32

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Difficulty:

55% (hard)

Question Stats:

64% (02:00) correct

36% (02:06) wrong

based on 133 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

Spoiler: OA

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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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12 Jul 2016, 23:47

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

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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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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

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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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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

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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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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
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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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25 Jun 2018, 10:36

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