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In a network of car dealerships, a group of d sales director

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In a network of car dealerships, a group of d sales director

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In a network of car dealerships, a group of d sales directors each has a team of a sales associates. In a given month, if the directors each sold 10 cars and each sales associate sold 20 cars, and all cars were sold by either a sales director or a sales associate, how many people total sold cars?

(1) The total number of cars sold was 270

(2) a > d > 2

OA C

Source: Veritas Prep

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A group...EACH has a team.
The wording above does not convey a logical meaning.
When each serves as an adverb, it cannot refer to a singular noun such as a group.
When each serves as an adverb, it may refer only to a PLURAL noun.
The prompt seems intended to convey the following:

BTGmoderatorDC wrote:
A network of car dealerships has d sales directors, each of whom manages a team of a sales associates. In a given month, if the directors each sold 10 cars and each sales associate sold 20 cars, and all cars were sold by either a sales director or a sales associate, how many people in total sold cars?

(1) The total number of cars sold was 270

(2) a > d > 2
Since each of the d sales directors manages a sales associates, the total number of sales associates = d*a = ad.
Since each of the d directors sells 10 cars, and each of the ad sales associates sells 20 cars, we get :
10d + 20ad = total number of cars.

Statement 1:
10d + 20ad = 270
d + 2ad = 27
d(1 + 2a) = 27
The resulting equation indicates that d must be a FACTOR OF 27.
Case 1: d=1, with the result that 1+2a=27 and that a=13
In this case, d+a = 1+13 = 14.
Case 2: d=3, with the result that 1+2a = 9 and that a=4
In this case, d+a = 3+4 = 7.
Since d+a can be different values, INSUFFICIENT.

Statement 2:
Clearly INSUFFICIENT.

Statements combined:
Of the various combinations for d and a that satisfy d(1+2a)=27, only the combination in Case 2 satisfies the condition that a>d>2.
In Case 2, d+a = 7.
SUFFICIENT.

The correct answer is C.

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