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
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