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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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Author:  HARRY113 [ 13 Jul 2016, 00:32 ]
Post subject:  If a is an integer greater than 4 but less than 21 and b is an integer
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
Author:  Rushilkhera [ 13 Jul 2016, 00:47 ]
Post subject:  Re: If a is an integer greater than 4 but less than 21 and b is an integer
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
Author:  rudra316 [ 13 Sep 2016, 00:26 ]
Post subject:  Re: If a is an integer greater than 4 but less than 21 and b is an integer
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
Author:  sivaspurthy [ 28 Sep 2016, 10:55 ]
Post subject:  Re: If a is an integer greater than 4 but less than 21 and b is an integer
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
Author:  KrishnakumarKA1 [ 01 Mar 2017, 03:04 ]
Post subject:  Re: If a is an integer greater than 4 but less than 21 and b is an integer
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
Author:  ScottTargetTestPrep [ 07 Oct 2019, 20:11 ]
Post subject:  Re: If a is an integer greater than 4 but less than 21 and b is an integer
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
Author:  bumpbot [ 23 Nov 2022, 00:07 ]
Post subject:  Re: If a is an integer greater than 4 but less than 21 and b is an integer
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