This is a tricky one, here is my guess.

Shirts by color:

1 white
6 green
4 blue
2 red
10 yellow
7 other
------------
30 total.

Additionally, 16 are woven and 14 are knit.


A. Quantity A:

minimum number of woven shirts that are not green or yellow

We can get the minimum number of woven shirts that are not green or yellow by maximizing the number of woven shirts that are green or yellow, namely, due to the fact that yellow shirts plus green ones is 16, if we state that those shirts are woven, therefore, the remaining shirts must be knit, getting a number of 0 woven shirts available.

Quantity A = 0


B. Quantity B

number of knit shirts that are a color other than red, yellow, or white

For this quantity, we can obtain the minimum value of knit shirts that are a color other than red, yellow, or whit, and compare it with quantity A. We know that if the minium value is strictly greater than 0, therefore, for greater values option B will also hold.


If every red, yellow and white shirt is knit, then, we have 13 shirts, BUT, the total number of knits is 14, therefore, the number of knit shirts that are a color other than red, yellow, or white, is 1.



only for the curious: the maximum number of knit shirts that are a color other than red, yellow, or white, is obtained by letting all red, yellow or white shirts as woven. Due to the fact that the sum of all of them is 13, if we say that all of them are woven, therefore, 14 would be knit.

Quantity B = integers between [1,14]


Therefore, Option B. Quantity B > Quantity A

In my opinion, the tricky part of this question is recognizing that quantity A could be zero also. For some reason, I initially ruled out that possibility, and I picked out option D. Because I assumed that there was an implicit restriction that the minimum number could not be zero.