If a is an integer greater than 4 but less than 21...

AAPL 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

The OA is E.

Please, can any expert assist me with this PS question? I don't have it clear and I appreciate if any explain it for me. Thanks.

This question could have been worded a little more clearly - in effect, it seems to be asking us to find the range of possible values for a/b, or rather (greatest a/b) - (smallest a/b)

Greatest a/b: Here we'd want to maximize a and minimize b. Max possible a: 20. Min possible b: 15. Max a/b = 20/15

Smallest a/b: Here's we'd want to minimize a and maximize b. Min possible a: 5. Max possible b: 30. Min a/b = 5/30

Difference: 20/15 - 5/30 = 40/30 - 5/30 = 35/30 = 7/6. The answer is E