Some theorists and critics insist that no aesthetic evaluation of a work of art is sound if it is based even in part on data about the cultural background of the artist. This opinion is clearly false. The only sound aesthetic evaluations of artists’ works are those that take into account factors such as the era and the place of the artists’ births, their upbringing and education, and the values of their societies—in sum, those factors that are part of their cultural background.
The above argument is most vulnerable to which of the following objections?
Until 1868 and Disraeli, Great Britain had no prime ministers not coming from a landed family.
Executives at the Fizzles Beverage Company plan to boost profits in Country X on their range of fruit-flavored drinks by introducing new flavors based on tropical fruits that are little known there. The executives reason that since the fruit drinks of other companies have none of these flavors, Fizzles will not have to compete for customers and thus will be able to sell the drinks at a higher price.
Which of the following, if true, presents the most serious potential weakness of the plan?

Let n and k be positive integers with k ≤ n. From an n × n array of dots, a k × k array of dots is selected. The figure above shows two examples where the selected k × k array is enclosed in a square. How many pairs (n, k) are possible so that exactly 48 of the dots in the n × n array are NOT in the selected k × k array?